Details

analyze111.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	6.2%	93.8%	0%	0%	0%	0
0%	0%	6.2%	93.8%	0%	0%	0%	1
50%	3.1%	3.1%	93.8%	0%	0%	0%	2
50%	3.1%	3.1%	93.8%	0%	0%	0%	3
75%	4.7%	1.6%	93.8%	0%	0%	0%	4
75%	4.7%	1.6%	93.8%	0%	0%	0%	5
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	6
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	7
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	8
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	9
96.9%	6%	0.2%	93.8%	0%	0%	0%	10
96.9%	6%	0.2%	93.8%	0%	0%	0%	11
98.4%	6.1%	0.1%	93.8%	0%	0%	0%	12

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample2.2s (23.8%)

Results

2.2s

8256×

body

256

valid

Bogosity

preprocess171.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

788×	`sqr-pow_binary64`
654×	`cube-prod_binary64`
599×	`fabs-mul_binary64`
495×	`*-commutative_binary64`
494×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	48
1	59	48
2	110	48
3	205	48
4	483	48
5	1548	48
6	2100	48
7	2745	48
8	2862	48
9	3035	48
10	3254	48
11	3586	48
12	4046	48
13	4646	48
14	5397	48
15	6333	48
16	6839	48
17	7323	48
18	7721	48
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u1))) 1/2)

Outputs
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u1))) 1/2)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u2)))) (cos.f64 (.f64 u1 (.f64 2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u2))) (cos.f64 (.f64 u1 (.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u2))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u1 (PI.f64))))) 1/2)

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
498×	`unpow3_binary64`
492×	`cube-mult_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	24
1	38	24
2	65	24
3	116	24
4	268	24
5	821	24
6	1100	24
7	1430	24
8	2714	24
9	2816	24
10	2975	24
11	3181	24
12	3486	24
13	3914	24
14	4473	24
15	5151	24
16	6011	24
17	6677	24
18	7234	24
19	7796	24

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

eval2.0ms (0%)

Compiler: Compiled 66 to 50 computations (24.2% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	4	5

Error

0.4b

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
▶	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
▶	0.4b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Status

Error

Program

▶

0.4b

(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)

▶

0.4b

(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)

▶

0.4b

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 55 to 49 computations (10.9% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 85 to 63 computations (25.9% saved)

series78.0ms (0.8%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
18.0ms	u2	@	inf	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
18.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
8.0ms	u1	@	inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
2.0ms	u1	@	0	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`log-prod_binary64`
572×	`prod-diff_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	395	51
2	4432	51

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
(.f64 (.f64 2 (PI.f64)) u2)
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cbrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4) (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 (pow.f64 u1 -2)) 1/36)) (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)) (/.f64 1/4 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 2) (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (sqrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 (pow.f64 u1 -2)) 1/36) 1/4) (.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 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simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

564×	`unswap-sqr_binary64`
554×	`distribute-rgt-in_binary64`
510×	`distribute-lft-in_binary64`
206×	`associate-l_binary64`
202×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	3746
1	711	3547
2	2362	3477

Stop Event

1×	node limit

Counts

165 → 185

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
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(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
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(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/2)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (fma.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 2) (*.f64 u2 u2)))) 1/2))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (.f64 -1/3 (.f64 u2 u2)) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (.f64 (sqrt.f64 -2) 1/6))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (fma.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 4) (*.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4)))))))
(+.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 u2)))) (.f64 1/9 (.f64 (pow.f64 u2 4) (*.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (+.f64 (.f64 1/9 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (.f64 (.f64 -1/3 (.f64 u2 u2)) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)))) (*.f64 (sqrt.f64 -2) 1/6))))
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(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 3) 1/3)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 3)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 2))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(log.f64 (exp.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 3))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(exp.f64 (log.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 1))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36)) (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (cbrt.f64 (.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))) (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (cbrt.f64 (.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) (.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) (sqrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/6 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))
✓	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.2b	(*.f64 (PI.f64) u2)
✓	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

Compiler

Compiled 61 to 36 computations (41% saved)

series8.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u1	@	inf	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
0.0ms	u2	@	0	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))
0.0ms	u1	@	inf	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.0ms	u1	@	0	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`log-prod_binary64`
575×	`prod-diff_binary64`
392×	`pow2_binary64`
276×	`pow1/3_binary64`
276×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	324	57
2	3624	57

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

Inputs
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(*.f64 (PI.f64) u2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) u2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1))))))

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

669×	`log-prod_binary64`
566×	`unswap-sqr_binary64`
274×	`exp-prod_binary64`
270×	`cube-prod_binary64`
206×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	291	3401
1	655	3203
2	2292	3168
3	6112	3147

Stop Event

1×	node limit

Counts

166 → 176

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
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(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1))

Outputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (fma.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2))) 1/2))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 2))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (fma.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 4) (*.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4)))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 (.f64 1/9 (pow.f64 u2 4)) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (sqrt.f64 -2) 1/6) (+.f64 (.f64 1/9 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (fma.f64 -2/135 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6)))) (fma.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (fma.f64 -2/135 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 u2 6)))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 (.f64 1/9 (pow.f64 u2 4)) (*.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4)))))))
(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/9 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 -2/135 (.f64 (sqrt.f64 -2) (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
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(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 0 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1)
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1)
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/3)
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2)
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)) 1/3)
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/3)
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) 2)))
(sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 -2 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1))
(.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.2b	(*.f64 (PI.f64) u2)
✓	0.4b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

Compiler

Compiled 57 to 34 computations (40.4% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u1	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u2	@	-inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u2	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u1	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log-prod_binary64`
575×	`prod-diff_binary64`
393×	`pow2_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	324	37
2	3619	37

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 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(*.f64 u2 2)))) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 3) 1/8) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 2) (-.f64 1/4 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 2) 1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 1))))))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-def_binary64`
387×	`*-commutative_binary64`
349×	`distribute-rgt-in_binary64`
347×	`unswap-sqr_binary64`
336×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2002
1	444	1890
2	1534	1861
3	6288	1861

Stop Event

1×	node limit

Counts

78 → 94

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
1/6
(+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
(+.f64 0 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 1) 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2))) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 3) 1/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 2) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 2) 1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2)) 1))
(+.f64 0 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))) 1)
(pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1)
(pow.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 3)
(pow.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 2)
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))))
(cbrt.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 1))

Outputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))))
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(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1)
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(pow.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 3) 1/3)
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 3)
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(pow.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 2)
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 2) 1/36))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/6))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 3))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 1))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))

eval264.0ms (2.8%)

Compiler: Compiled 12518 to 9248 computations (26.1% saved)

prune98.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	510	8	518
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	512	9	521

Error

Counts

521 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
▶	0.8b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)
▶	1.1b	(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
✓	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
▶	0.4b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 305 to 273 computations (10.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 -1/18 (log.f64 u1))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series15.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	0	(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log-prod_binary64`
520×	`prod-diff_binary64`
383×	`pow2_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	310	35
2	3621	35

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(*.f64 -1/18 (log.f64 u1))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/18 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 u1 -1/18)) 2)) (log.f64 (cbrt.f64 (pow.f64 u1 -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 u1 -1/18))) (log.f64 (sqrt.f64 (pow.f64 u1 -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/18 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)) (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
413×	`distribute-rgt-in_binary64`
369×	`distribute-lft-in_binary64`
219×	`associate-/l*_binary64`
212×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3372
1	613	3283
2	2088	3033
3	7379	3033

Stop Event

1×	node limit

Counts

137 → 151

Calls

Call 1

Inputs
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
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(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 0 (*.f64 -1/18 (log.f64 u1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 u1 -1/18)) 2)) (log.f64 (cbrt.f64 (pow.f64 u1 -1/18))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 u1 -1/18))) (log.f64 (sqrt.f64 (pow.f64 u1 -1/18))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1)))) 1)
(pow.f64 (*.f64 -1/18 (log.f64 u1)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 2)
(pow.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)
(sqrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))
(log.f64 (pow.f64 u1 -1/18))
(log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))
(cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1))))
(log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))
(exp.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))))
(exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1))
(+.f64 0 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 1)
(.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1)
(.f64 1 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/324 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/324 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))
(pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1)
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2)) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) -1/2)))
(.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 3) (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (/.f64 1 (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2)))))
(.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2))) (fma.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 3) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/8)))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) -1/2) (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) -1/4)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 3) (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 3) (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (-.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2)) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2)))))
(/.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) -1/4) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) -1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 3) (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8)) (neg.f64 (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)))))
(/.f64 (neg.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2))) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2))) (fma.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 3) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/8)) -1)
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) -1/2) (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2) -1/4)) -1)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2)) 1))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2)) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) 1/2)
(fma.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2))) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 u1)) 1/2)

Outputs
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(neg.f64 (*.f64 1/18 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(neg.f64 (*.f64 1/18 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(neg.f64 (*.f64 1/18 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(neg.f64 (*.f64 1/18 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.4b	(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)

Compiler

Compiled 25 to 17 computations (32% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
1.0ms	u1	@	0	(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
1.0ms	u1	@	-inf	(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
678×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	180	12
2	1885	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (-.f64 1/4 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/4) (-.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))))

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

717×	`times-frac_binary64`
625×	`fma-def_binary64`
560×	`distribute-rgt-in_binary64`
536×	`distribute-lft-in_binary64`
353×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	526
1	184	488
2	583	484
3	3167	480

Stop Event

1×	node limit

Counts

33 → 40

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/4) (-.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))

Outputs
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/36) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216 1/8) (+.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216 1/8) (+.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216 1/8) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 (fma.f64 (log.f64 u1) -1/18 1/4)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/4) (-.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/36) -1/4) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2))
(/.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (+.f64 (.f64 (log.f64 u1) -1/18) -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
✓	0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

Compiler

Compiled 83 to 50 computations (39.8% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
1.0ms	u1	@	inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
1.0ms	u1	@	-inf	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
1.0ms	u1	@	-inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
1.0ms	u1	@	inf	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
709×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	206	24
2	2321	24

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(sqrt.f64 (neg.f64 (log.f64 u1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (log.f64 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 3/2) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 u1))))))))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-def_binary64`
457×	`distribute-rgt-in_binary64`
427×	`distribute-lft-in_binary64`
422×	`unswap-sqr_binary64`
391×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1219
1	262	1030
2	1000	907
3	3356	862

Stop Event

1×	node limit

Counts

83 → 83

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 2)
(pow.f64 (*.f64 2 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (log.f64 u1) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 3/2) (.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 1)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 2)
(sqrt.f64 (.f64 1/36 (.f64 2 (log.f64 u1))))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 u1))) 1)
(*.f64 (sqrt.f64 (log.f64 u1)) 1)
(*.f64 1 (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 u1)) 1/2))
(*.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 u1)))
(pow.f64 (log.f64 u1) 1/2)
(pow.f64 (sqrt.f64 (log.f64 u1)) 1)
(pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3)
(pow.f64 (pow.f64 (log.f64 u1) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 u1))))
(cbrt.f64 (pow.f64 (log.f64 u1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 u1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 u1))))

Outputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) 1/6)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (*.f64 2 (log.f64 u1)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (log.f64 u1) 3/2)))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 2 (pow.f64 (log.f64 u1) 3/2))))
(cbrt.f64 (.f64 2 (.f64 (sqrt.f64 2) (pow.f64 (log.f64 u1) 3/2))))
(cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 3/2) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (log.f64 u1) 3/2)))
(cbrt.f64 (.f64 (sqrt.f64 2) (.f64 2 (pow.f64 (log.f64 u1) 3/2))))
(cbrt.f64 (.f64 2 (.f64 (sqrt.f64 2) (pow.f64 (log.f64 u1) 3/2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(-.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 1)
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 1)
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3) 1/3)
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 3)
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 2)
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(sqrt.f64 (.f64 1/36 (.f64 2 (log.f64 u1))))
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3))
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(+.f64 1 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1)))) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(-.f64 (+.f64 1 (sqrt.f64 (log.f64 u1))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(*.f64 (sqrt.f64 (log.f64 u1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(*.f64 1 (sqrt.f64 (log.f64 u1)))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (cbrt.f64 (log.f64 u1)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(pow.f64 (cbrt.f64 (log.f64 u1)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 u1)))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 u1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (cbrt.f64 (log.f64 u1)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(pow.f64 (cbrt.f64 (log.f64 u1)) 3/2)
(*.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(pow.f64 (log.f64 u1) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(pow.f64 (sqrt.f64 (log.f64 u1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 u1) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(pow.f64 (pow.f64 (log.f64 u1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(fabs.f64 (sqrt.f64 (log.f64 u1)))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 u1))))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(cbrt.f64 (pow.f64 (log.f64 u1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 u1))))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 u1))))
(+.f64 1 (-.f64 (sqrt.f64 (log.f64 u1)) 1))
(+.f64 (sqrt.f64 (log.f64 u1)) 0)
(sqrt.f64 (log.f64 u1))

localize54.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)))
✓	0.4b	(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))

Compiler

Compiled 96 to 72 computations (25% saved)

series71.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	u1	@	0	(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
20.0ms	u1	@	-inf	(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
15.0ms	u1	@	inf	(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
1.0ms	u1	@	inf	(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)))
1.0ms	u1	@	0	(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)))

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
859×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	241	28
2	2492	28

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cbrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3) (pow.f64 (pow.f64 -2 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 u1) -2) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (log.f64 u1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -2 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 3/2) (pow.f64 (log.f64 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/4) (pow.f64 (*.f64 (log.f64 u1) -2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 u1) -2) (cbrt.f64 (*.f64 (log.f64 u1) -2))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 u1) -2) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (*.f64 (log.f64 u1) -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))))))))

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

472×	`fma-neg_binary64`
358×	`fma-def_binary64`
347×	`distribute-rgt-in_binary64`
342×	`exp-prod_binary64`
317×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1281
1	318	1136
2	947	972
3	2711	954
4	6909	954

Stop Event

1×	node limit

Counts

90 → 87

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cbrt.f64 (*.f64 (log.f64 u1) -2)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -2 3/2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3) (pow.f64 (pow.f64 -2 3/2) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/4) 1/3))
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)) 1)
(.f64 (.f64 (log.f64 u1) -2) (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (*.f64 (log.f64 u1) -2))
(.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 3/2))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -2 3/2))
(*.f64 (pow.f64 -2 3/2) (pow.f64 (log.f64 u1) 3/2))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/4) (pow.f64 (*.f64 (log.f64 u1) -2) 3/4))
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 (log.f64 u1) -2) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3/2))
(.f64 (.f64 (.f64 (log.f64 u1) -2) (cbrt.f64 (.f64 (log.f64 u1) -2))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 (.f64 (log.f64 u1) -2) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (+.f64 1 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 1)
(pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))) 2)
(sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))))

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cbrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -2 3/2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3) (pow.f64 (pow.f64 -2 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -2 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/4) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/4)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/4)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/4) 1/6) 4)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)) 1)
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (.f64 (log.f64 u1) -2) (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1)
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (*.f64 (log.f64 u1) -2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -2 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(*.f64 (pow.f64 -2 3/2) (pow.f64 (log.f64 u1) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/4) (pow.f64 (*.f64 (log.f64 u1) -2) 3/4))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 (log.f64 u1) -2) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (.f64 (.f64 (log.f64 u1) -2) (cbrt.f64 (.f64 (log.f64 u1) -2))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(.f64 (.f64 (.f64 (log.f64 u1) -2) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(-.f64 (+.f64 1 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 3) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (log.f64 (exp.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 3))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))

localize68.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.2b	(.f64 (PI.f64) (.f64 u2 2))
✓	0.4b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)
✓	1.0b	(exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))

Compiler

Compiled 78 to 56 computations (28.2% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
0.0ms	u2	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)
0.0ms	u1	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)
0.0ms	u2	@	inf	(exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
0.0ms	u2	@	-inf	(exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`log-prod_binary64`
402×	`pow2_binary64`
372×	`prod-diff_binary64`
282×	`pow1/3_binary64`
282×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	344	45
2	3723	45

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(exp.f64 (log.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))))

(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))) 1/2)

(*.f64 (PI.f64) (*.f64 u2 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (pow.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 2) (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (pow.f64 (exp.f64 1) (log.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 1/6)) (pow.f64 (exp.f64 1) (log.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 (log.f64 1/6) 1)) (pow.f64 (exp.f64 1) (*.f64 (log.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 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simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

638×	`log-prod_binary64`
565×	`unswap-sqr_binary64`
501×	`distribute-rgt-in_binary64`
480×	`distribute-lft-in_binary64`
197×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	278	2767
1	648	2607
2	2185	2564
3	7196	2562

Stop Event

1×	node limit

Counts

131 → 156

Calls

Call 1

Inputs
1/6
(+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
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(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(+.f64 0 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))) 1)
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/6)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1)
(.f64 1 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2) (cbrt.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/6))
(.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) (sqrt.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))
(.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/6))
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 2)) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (.f64 1/6 (sqrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) (pow.f64 (exp.f64 1) (log.f64 1/6)))
(.f64 (pow.f64 (exp.f64 1) (log.f64 1/6)) (pow.f64 (exp.f64 1) (log.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))
(.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))))
(.f64 (pow.f64 (exp.f64 1) (.f64 (log.f64 1/6) 1)) (pow.f64 (exp.f64 1) (.f64 (log.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1)))
(pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1)
(pow.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 2) 1/36) 1/2)
(pow.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 3)
(pow.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))) (sqrt.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))) 2)) (cbrt.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(cbrt.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))
(log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(+.f64 0 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2))
(+.f64 (.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1) 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2))) 1)
(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 1)
(.f64 1 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2))
(.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) 2) (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/8) (+.f64 (pow.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (-.f64 1/4 (.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 1/4) (fma.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1))) -1/2))
(pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) 1))
(+.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))
(+.f64 0 (*.f64 (PI.f64) (+.f64 u2 u2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1)
(pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)
(pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) u2) 2) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 u2 u2) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 u2 u2) 3) (pow.f64 (PI.f64) 3)) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) u2) 2) 4))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 u2 u2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 u2 u2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1))

Outputs
1/6
(+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 1/6 (.f64 -1/3 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2))))
(fma.f64 -1/3 (pow.f64 (*.f64 u2 (PI.f64)) 2) 1/6)
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (+.f64 1/6 (.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2) 1/6))
(fma.f64 1/9 (pow.f64 (.f64 u2 (PI.f64)) 4) (fma.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2) 1/6))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (+.f64 1/6 (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (.f64 -2/135 (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(+.f64 (fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2) 1/6)) (.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))
(+.f64 (fma.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (pow.f64 u2 6) (.f64 (pow.f64 (PI.f64) 6) -2/135))) (fma.f64 1/9 (pow.f64 (.f64 u2 (PI.f64)) 4) 1/6))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
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(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
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(pow.f64 (sqrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) 2)
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 2))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(log.f64 (exp.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2))))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2) 3))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(exp.f64 (log.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/2)))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2)) 1))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(+.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(+.f64 0 (*.f64 (PI.f64) (+.f64 u2 u2)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1)
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) u2) 2) 4) 1/2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 u2 (PI.f64)) 2)))
(sqrt.f64 (pow.f64 (.f64 u2 (.f64 2 (PI.f64))) 2))
(fabs.f64 (.f64 u2 (.f64 2 (PI.f64))))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 3) 1/3)
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 3)
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2)
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 u2 u2) 3)) 1/3)
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 u2 u2) 3) (pow.f64 (PI.f64) 3)) 1/3)
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) u2) 2) 4))
(sqrt.f64 (.f64 4 (pow.f64 (.f64 u2 (PI.f64)) 2)))
(sqrt.f64 (pow.f64 (.f64 u2 (.f64 2 (PI.f64))) 2))
(fabs.f64 (.f64 u2 (.f64 2 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 3))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 u2 u2) 3)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 u2 u2) 3) (pow.f64 (PI.f64) 3)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))

eval278.0ms (3%)

Compiler: Compiled 14214 to 10361 computations (27.1% saved)

prune141.0ms (1.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	649	13	662
Fresh	3	0	3
Picked	1	0	1
Done	3	2	5
Total	656	15	671

Error

Counts

671 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.8b	(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
	1.3b	(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) 1/6 1/2)
▶	1.4b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
	1.4b	(fma.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/6 1/2)
	1.3b	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
	1.2b	(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)) 1/6 1/2)
✓	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
▶	2.0b	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
	1.1b	(/.f64 (+.f64 (.f64 (log.f64 u1) -1/18) -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2))
	1.2b	(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	1.1b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 403 to 361 computations (10.4% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.2b	(*.f64 (PI.f64) (+.f64 u2 u2))
✓	0.4b	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))

Compiler

Compiled 71 to 31 computations (56.3% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	-inf	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))
1.0ms	u2	@	0	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))
0.0ms	u2	@	0	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
0.0ms	u2	@	-inf	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
0.0ms	u1	@	-inf	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`prod-diff_binary64`
769×	`log-prod_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
275×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	342	55
2	4324	55

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

(*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))

(*.f64 (PI.f64) (+.f64 u2 u2))

(+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (*.f64 1/36 (pow.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1))))))

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simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

230×	`associate-l_binary64`
228×	`associate-r_binary64`
145×	`*-commutative_binary64`
105×	`fma-def_binary64`
58×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	3291
1	822	3291
2	3512	3291

Stop Event

1×

unsound

Counts

168 → 140

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 0 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) 1)
(pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 2)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (*.f64 (PI.f64) 2) u2)) 2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1))
(+.f64 0 (.f64 (.f64 (PI.f64) 2) u2))
(+.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))
(+.f64 (.f64 (.f64 (PI.f64) u2) 1) (.f64 (.f64 (PI.f64) u2) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 2) u2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) u2) 3) (pow.f64 (.f64 (PI.f64) u2) 3)) (fma.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2) (-.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))) (-.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)))
(/.f64 (.f64 (.f64 2 (pow.f64 u2 3)) (PI.f64)) (fma.f64 u2 u2 0))
(/.f64 (*.f64 0 (PI.f64)) 0)
(/.f64 (.f64 (PI.f64) (.f64 2 (pow.f64 u2 3))) (fma.f64 u2 u2 0))
(/.f64 (*.f64 (PI.f64) 0) 0)
(pow.f64 (.f64 (.f64 (PI.f64) 2) u2) 1)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) 2) u2) 3) 1/3)
(pow.f64 (*.f64 (+.f64 u2 u2) (cbrt.f64 (PI.f64))) 3)
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)
(sqrt.f64 (*.f64 (+.f64 u2 u2) (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 2) u2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 2) u2) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 u2 u2)))
(cbrt.f64 (*.f64 (+.f64 u2 u2) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 2) u2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 2) u2)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 2) u2)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 2) u2)) 1))
(fma.f64 (PI.f64) u2 (*.f64 (PI.f64) u2))
(fma.f64 u2 (PI.f64) (*.f64 (PI.f64) u2))
(fma.f64 1 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) u2) (.f64 (PI.f64) u2))
(fma.f64 (pow.f64 (cbrt.f64 u2) 2) (.f64 (cbrt.f64 u2) (PI.f64)) (.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) u2) (.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 u2) (.f64 (sqrt.f64 u2) (PI.f64)) (.f64 (PI.f64) u2))
(fma.f64 (.f64 (PI.f64) u2) 1 (.f64 (*.f64 (PI.f64) u2) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) u2)) (cbrt.f64 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 (PI.f64) u2)) (*.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) u2)) (sqrt.f64 (.f64 (PI.f64) u2)) (*.f64 (PI.f64) u2))
(fma.f64 (.f64 (sqrt.f64 u2) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 u2) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) u2))
(fma.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 u2)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 u2)) (*.f64 (PI.f64) u2))
(fma.f64 (.f64 u2 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (PI.f64) u2))
(fma.f64 (.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (PI.f64) u2))
(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 u2) 2)) (cbrt.f64 u2) (.f64 (PI.f64) u2))
(fma.f64 (.f64 (PI.f64) (sqrt.f64 u2)) (sqrt.f64 u2) (.f64 (PI.f64) u2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2))) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1/2)) (/.f64 1/4 (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 1)
(.f64 1 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2) 2)) (cbrt.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)) (sqrt.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(.f64 (fma.f64 1/216 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/8) (/.f64 1 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 (*.f64 (PI.f64) 2) u2))) 1/2)))))
(.f64 (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) -1/4) (/.f64 1 (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) 1/2))) (fma.f64 1/216 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/8)))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1/2) (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) -1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/8) (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) 1/2))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/8) (+.f64 1/4 (-.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 (*.f64 (PI.f64) 2) u2))) 1/2)))))
(/.f64 (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) -1/4) (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1/2))
(/.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/8)) (neg.f64 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) 1/2)))))
(/.f64 (neg.f64 (fma.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)) -1/4)) (neg.f64 (fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)))) (-.f64 1/2 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(pow.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(exp.f64 (log.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 1))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1 1/2)
(fma.f64 1 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 2) (.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) (.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (cbrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 2)) (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))))) (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)) (.f64 u2 u2))) (sqrt.f64 (log.f64 u1))))
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(.f64 u2 (.f64 2 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(.f64 u2 (.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2))))
(.f64 u2 (.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2) 3))
(.f64 u2 (.f64 2 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(.f64 u2 (.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(.f64 u2 (.f64 2 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))
(.f64 u2 (.f64 2 (PI.f64)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 1))
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 1 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 1/36 (pow.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 2)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 2) (.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) (.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/4) (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (pow.f64 (.f64 (log.f64 u1) -2) 1/4)) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (cbrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 1/2)
(fma.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/4) (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (pow.f64 (.f64 (log.f64 u1) -2) 1/4)) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 2)) (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2))))) (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 (.f64 (PI.f64) 2) u2)))) 1/2)
(.f64 u2 (.f64 2 (PI.f64)))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.4b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)

Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
0.0ms	u1	@	0	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
0.0ms	u1	@	-inf	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
0.0ms	u1	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
0.0ms	u1	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	211	23
2	2403	23

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) (/.f64 1 (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))) (neg.f64 (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))))

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-def_binary64`
474×	`times-frac_binary64`
380×	`associate-l_binary64`
353×	`associate-r_binary64`
298×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1260
1	290	1198
2	872	1178
3	4329	1082

Stop Event

1×	node limit

Counts

69 → 77

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))
(cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) (/.f64 1 (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))
(.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)) (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216))))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2) (+.f64 (.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) (+.f64 1/4 (-.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12))))
(/.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))
(/.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216))) (neg.f64 (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 1)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216))
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(sqrt.f64 (.f64 -2 (.f64 (log.f64 u1) 1/36)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216))
(cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(-.f64 (/.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) (/.f64 1 (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)) (+.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216) 1/8)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (log.f64 u1) -1/18 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 (fma.f64 (log.f64 u1) -1/18 1/4)))
(.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)) (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)) (+.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216) 1/8)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (log.f64 u1) -1/18 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 (fma.f64 (log.f64 u1) -1/18 1/4)))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2) (+.f64 (.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)) (+.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216) 1/8)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (log.f64 u1) -1/18 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 (fma.f64 (log.f64 u1) -1/18 1/4)))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) (+.f64 1/4 (-.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)) (+.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216) 1/8)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (log.f64 u1) -1/18 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 (fma.f64 (log.f64 u1) -1/18 1/4)))
(/.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216))) (neg.f64 (-.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)) (+.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216) 1/8)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (log.f64 u1) -1/18 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 (fma.f64 (log.f64 u1) -1/18 1/4)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)
(fma.f64 (cbrt.f64 (.f64 -2 (.f64 (log.f64 u1) 1/36))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)
✓	0.4b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
✓	0.5b	(cbrt.f64 (*.f64 (log.f64 u1) -2))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series124.0ms (1.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
79.0ms	u1	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
21.0ms	u1	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
16.0ms	u1	@	0	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
3.0ms	u1	@	0	(cbrt.f64 (*.f64 (log.f64 u1) -2))
2.0ms	u1	@	-inf	(cbrt.f64 (*.f64 (log.f64 u1) -2))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`pow1_binary64`
834×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	226	28
2	2398	28

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 3) 1/8) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) (-.f64 1/4 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1/4) (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) (pow.f64 (*.f64 (log.f64 u1) -2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 3/2) (pow.f64 (cbrt.f64 -2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3/2) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
686×	`times-frac_binary64`
553×	`distribute-rgt-in_binary64`
507×	`distribute-lft-in_binary64`
265×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	1332
1	337	1186
2	1030	1095
3	3336	1088

Stop Event

1×	node limit

Counts

95 → 88

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 1)
(.f64 1 (cbrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(pow.f64 (*.f64 (log.f64 u1) -2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1/4) (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 (*.f64 (log.f64 u1) -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/4) (pow.f64 (*.f64 (log.f64 u1) -2) 1/4))
(.f64 (pow.f64 1 3/2) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 3/2) (pow.f64 (cbrt.f64 -2) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) 3/2) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3/2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))

Outputs
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 1 (log.f64 u1)) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cbrt.f64 -2) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cbrt.f64 -2) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cbrt.f64 -2) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 u1))) 1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 -2)))
(.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cbrt.f64 -2) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 1 (cbrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (*.f64 (log.f64 u1) -2) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(cbrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/36) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216 1/8) (+.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (.f64 (log.f64 u1) -2) 1/36 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1/4) (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/36) -1/4) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2))
(/.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3) 1/3)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 3)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 (*.f64 (log.f64 u1) -2)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/4) (pow.f64 (*.f64 (log.f64 u1) -2) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (pow.f64 1 3/2) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -2))) 2) 3/2) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 3/2) (pow.f64 (cbrt.f64 -2) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) 3/2) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3/2))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(sqrt.f64 (*.f64 (log.f64 u1) -2))

localize35.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
✓	0.4b	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
✓	1.0b	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)

Compiler

Compiled 39 to 29 computations (25.6% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
2.0ms	u1	@	0	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
1.0ms	u1	@	inf	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
1.0ms	u1	@	-inf	(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
0.0ms	u1	@	inf	(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log-prod_binary64`
363×	`cbrt-prod_binary64`
337×	`exp-prod_binary64`
275×	`pow2_binary64`
259×	`prod-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	258	29
2	2666	29

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 4)) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 5/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -8 (pow.f64 (log.f64 u1) 3))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (log.f64 u1)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 -2 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 3/2) (pow.f64 (log.f64 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -2 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 5/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 9/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 -8 (pow.f64 (log.f64 u1) 3)) 1)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 -8 (pow.f64 (log.f64 u1) 3)) (pow.f64 -2 3/2))) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 -8 (pow.f64 (log.f64 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 -8 (pow.f64 -2 3/2)) (pow.f64 (pow.f64 (log.f64 u1) 3/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 3) (*.f64 -8 (pow.f64 -2 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 -2 (log.f64 u1)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 3/4) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) (-.f64 1/4 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))))))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

686×	`times-frac_binary64`
426×	`fma-def_binary64`
385×	`log-prod_binary64`
328×	`distribute-rgt-in_binary64`
315×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	1848
1	551	1762
2	1526	1713
3	5492	1713

Stop Event

1×	node limit

Counts

124 → 154

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 0 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)
(.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 4)) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 5/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/12))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))) 3/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 u1) 2)))) 3/4))
(exp.f64 (.f64 (log.f64 (.f64 -8 (pow.f64 (log.f64 u1) 3))) 1/6))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) 2))
(+.f64 0 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1)
(.f64 (.f64 -2 (log.f64 u1)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 -2 (log.f64 u1)))
(.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))
(*.f64 (pow.f64 -2 3/2) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -2 3/2))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 5/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 9/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 9/2))))
(.f64 (cbrt.f64 (.f64 (.f64 -8 (pow.f64 (log.f64 u1) 3)) 1)) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (*.f64 -8 (pow.f64 (log.f64 u1) 3)) (pow.f64 -2 3/2))) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -8 (pow.f64 (log.f64 u1) 3)))
(log.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 9/2))
(cbrt.f64 (.f64 (.f64 -8 (pow.f64 -2 3/2)) (pow.f64 (pow.f64 (log.f64 u1) 3/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 3) (.f64 -8 (pow.f64 -2 3/2))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 -2 (log.f64 u1)))) 3/4))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 9/2)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 3/4) 2))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(+.f64 0 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))
(+.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))))
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1)) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))) (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 u1) 3))) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 3)))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)))
(*.f64 (sqrt.f64 -8) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 3)))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)))
(*.f64 (sqrt.f64 -8) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 3)))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)))
(*.f64 (sqrt.f64 -8) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 3)))
(*.f64 (sqrt.f64 -8) (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)))
(*.f64 (sqrt.f64 -8) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6) 1/2)
(+.f64 0 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 4)) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 4)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 5/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/12))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 5/4)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/12))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))) 3/2))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 u1) 2)))) 3/4))
(pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2))) 3/4)
(exp.f64 (.f64 (log.f64 (.f64 -8 (pow.f64 (log.f64 u1) 3))) 1/6))
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6)) 3))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) 2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 0 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.4b	(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
✓	0.6b	(cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)

Compiler

Compiled 46 to 34 computations (26.1% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
2.0ms	u1	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
2.0ms	u1	@	inf	(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
0.0ms	u1	@	inf	(cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))
0.0ms	u1	@	-inf	(cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
853×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	248	26
2	2387	26

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) 3) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6)) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (-.f64 1/4 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/4) (-.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
486×	`distribute-rgt-in_binary64`
483×	`unswap-sqr_binary64`
427×	`log-prod_binary64`
421×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1232
1	298	1096
2	863	1040
3	3365	1026

Stop Event

1×	node limit

Counts

68 → 75

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) 3) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6)) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/4) (-.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(-.f64 (+.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1/3))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))

Outputs
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(.f64 (+.f64 (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) (pow.f64 1 1/3))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1))
(fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1))
(fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1))
(fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1))
(fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
(.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) 1)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 1/3)
(cbrt.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 1/3)
(cbrt.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2))
(cbrt.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) 3) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 3))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6)) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/36) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216 1/8) (+.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216 1/8) (fma.f64 (.f64 (log.f64 u1) -2) 1/36 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 1/216 1/8) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 1/4)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/4) (-.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/36) -1/4) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2))
(/.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(-.f64 (+.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 1/6) 4)
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(+.f64 (cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 0)
(cbrt.f64 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))

eval344.0ms (3.7%)

Compiler: Compiled 12398 to 9554 computations (22.9% saved)

prune169.0ms (1.8%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	685	12	697
Fresh	6	2	8
Picked	1	0	1
Done	2	4	6
Total	694	18	712

Error

Counts

712 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3) 1/6 1/2)
▶	1.9b	(fma.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6 1/2)
✓	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	2.0b	(pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)) 3)
	1.2b	(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
▶	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	1.8b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
	1.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 3/2) 1/6) 1/2)
✓	0.4b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	1.1b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
▶	1.2b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.9b	(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
	1.2b	(+.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 1/2)
	1.2b	(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216)) 1/2)
	1.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
	1.0b	(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))

Compiler

Compiled 460 to 416 computations (9.6% saved)

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(*.f64 -1/18 (log.f64 u1))
✓	0.5b	(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)

Compiler

Compiled 75 to 53 computations (29.3% saved)

series59.0ms (0.6%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	u1	@	-inf	(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)
19.0ms	u1	@	0	(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)
15.0ms	u1	@	inf	(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)
1.0ms	u1	@	0	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	-inf	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log-prod_binary64`
520×	`prod-diff_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
250×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	361	29
2	4159	29

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Outputs

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simplify127.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-def_binary64`
411×	`fma-neg_binary64`
393×	`unswap-sqr_binary64`
348×	`*-commutative_binary64`
286×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	3009
1	563	2936
2	1694	2724
3	6448	2570

Stop Event

1×	node limit

Counts

112 → 133

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 0 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 1)
(.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4))
(.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1)
(.f64 1 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (cbrt.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4)))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (pow.f64 -1/18 1/4) (.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4)))
(.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/8) (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/8) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4)))
(.f64 (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/8)) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/8))
(.f64 (.f64 (pow.f64 -1/18 1/4) (pow.f64 -1/18 1/4)) (*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))
(*.f64 (pow.f64 (pow.f64 -1/18 1/4) 2) (pow.f64 (pow.f64 (log.f64 u1) 1/4) 2))
(.f64 (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4)))
(.f64 (.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 -1/18 1/4)) (pow.f64 (log.f64 u1) 1/4))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(fabs.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (/.f64 1 (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))
(.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2) (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4)))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))
(/.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))) (neg.f64 (-.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))
(/.f64 (neg.f64 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(fma.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2)

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(fma.f64 -2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)))) (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2))
(fma.f64 -2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -1/18) (.f64 (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)) (.f64 -2 (*.f64 u2 u2))))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(fma.f64 -2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)))) (fma.f64 2/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 -1/18) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))))) (.f64 (.f64 2/3 (pow.f64 u2 4)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (sqrt.f64 -1/18) (+.f64 (.f64 -2 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2)))) (.f64 2/3 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))) (sqrt.f64 -1/18))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)))) (fma.f64 2/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4)))) (+.f64 1/2 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) (.f64 -4/45 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 6) (*.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 6)))))))))
(+.f64 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -1/18) (.f64 -4/45 (.f64 (sqrt.f64 -1/18) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -2 (.f64 (sqrt.f64 -1/18) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))))) (.f64 (.f64 2/3 (pow.f64 u2 4)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (sqrt.f64 -1/18) (+.f64 (.f64 -2 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2)))) (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))) (fma.f64 -4/45 (.f64 (sqrt.f64 -1/18) (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 -1/18)))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
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(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
✓	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 23 to 15 computations (34.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
0.0ms	u1	@	inf	(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
0.0ms	u1	@	0	(*.f64 (log.f64 u1) -1/18)
0.0ms	u1	@	-inf	(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
0.0ms	u1	@	inf	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
716×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	169	25
2	1987	25

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(*.f64 (log.f64 u1) -1/18)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 u1) -1/18) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)) (/.f64 1/4 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (/.f64 1 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))) (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2) (fma.f64 (log.f64 u1) -1/18 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (+.f64 1/4 (-.f64 (*.f64 (log.f64 u1) -1/18) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))) (neg.f64 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (log.f64 u1) -1/18 -1/4)) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)))))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

608×	`fma-neg_binary64`
416×	`fma-def_binary64`
399×	`div-sub_binary64`
327×	`log-prod_binary64`
279×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1514
1	341	1380
2	1217	1169
3	5428	1169

Stop Event

1×	node limit

Counts

101 → 98

Calls

Call 1

Inputs
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(-.f64 (+.f64 1 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))
(log.f64 (pow.f64 u1 -1/18))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
(log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 1)
(-.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1/2)) (/.f64 1/4 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2) 1)
(.f64 1 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
(.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
(.f64 (+.f64 1/8 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (/.f64 1 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2)))))
(.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (/.f64 1 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1/2)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2))) (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2) (fma.f64 (log.f64 u1) -1/18 -1/4)))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (+.f64 1/4 (-.f64 (.f64 (log.f64 u1) -1/18) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2))))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))) (neg.f64 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))
(/.f64 (neg.f64 (fma.f64 (log.f64 u1) -1/18 -1/4)) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))
(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
(fma.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)

Outputs
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(-.f64 (+.f64 1 (*.f64 (log.f64 u1) -1/18)) 1)
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1)
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3) 1/3)
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3)
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))
(log1p.f64 (+.f64 (pow.f64 u1 -1/18) -1))
(log1p.f64 (+.f64 -1 (pow.f64 u1 -1/18)))
(exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -1/18)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -1/18)))))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 0)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 1)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2) -1)
(+.f64 1 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) -1/2))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
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(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 u1 -1/18)) 3/2) 1/8) (fma.f64 -1/18 (log.f64 u1) (fma.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) -1/2 1/4)))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (+.f64 1/4 (-.f64 (.f64 (log.f64 u1) -1/18) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2))))
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(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (fma.f64 -1/18 (log.f64 u1) (.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (fma.f64 -1/18 (log.f64 u1) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 1/4)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 u1 -1/18)) 3/2) 1/8) (fma.f64 -1/18 (log.f64 u1) (fma.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) -1/2 1/4)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2))
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(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))) (neg.f64 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 u1) -1/18 (-.f64 1/4 (.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))) (+.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/8)))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (fma.f64 -1/18 (log.f64 u1) (.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (fma.f64 -1/18 (log.f64 u1) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 1/4)))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 u1 -1/18)) 3/2) 1/8) (fma.f64 -1/18 (log.f64 u1) (fma.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) -1/2 1/4)))
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(pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 1)
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(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 2))
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(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
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(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))
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(fma.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
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(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1/2)
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(fma.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 1/2)
(+.f64 (+.f64 (+.f64 1 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2) -1)
(+.f64 1 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) -1/2))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)

localize72.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)
✓	0.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6)
	0.4b	(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
	0.5b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))

Compiler

Compiled 46 to 34 computations (26.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6)
0.0ms	u1	@	inf	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6)
0.0ms	u1	@	-inf	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6)
0.0ms	u1	@	inf	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)
0.0ms	u1	@	0	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)

rewrite152.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log-prod_binary64`
380×	`exp-prod_binary64`
296×	`pow2_binary64`
258×	`pow-prod-down_binary64`
205×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	259	23
2	2963	23

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12)) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2) (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (-.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 -1/4) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 (log.f64 u1) -2) 1/36)) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12)) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2) (fma.f64 (*.f64 (log.f64 u1) -2) 1/36 -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))) (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36)) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 (log.f64 u1) -2))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/4)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) 1/2)))))

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

517×	`associate-l_binary64`
455×	`associate-r_binary64`
409×	`log-prod_binary64`
326×	`fma-neg_binary64`
266×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	1789
1	455	1694
2	1258	1682
3	6030	1680

Stop Event

1×	node limit

Counts

99 → 118

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(pow.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36) 1/2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))))
(sqrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) 1/216)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))
(.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)) (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8)))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 1/4 (-.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))
(/.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))))
(/.f64 (neg.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 (log.f64 u1) -2) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12)) (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8)) -1)
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) (fma.f64 (.f64 (log.f64 u1) -2) 1/36 -1/4)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)))) (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1) 1))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/4) (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) 1/6) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1/2)
(fma.f64 (.f64 1/6 (cbrt.f64 (.f64 (log.f64 u1) -2))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 1/2)
(fma.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/4)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) 1/2)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 1/6 (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)))) (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)))) (sqrt.f64 (log.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2) 3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2)) 1))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2))) 1/3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))) 3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 1/2))) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)) 1) 1))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6)) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (.f64 1/6 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -2) 1/36)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/4) (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) 1/6) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (.f64 1/6 (cbrt.f64 (.f64 (log.f64 u1) -2))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6)) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (.f64 1/6 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(fma.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/4)) (pow.f64 (*.f64 (log.f64 u1) -2) 1/4) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
✓	0.4b	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)
	0.4b	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
	1.0b	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)

Compiler

Compiled 50 to 38 computations (24% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)
1.0ms	u1	@	-inf	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)
1.0ms	u1	@	inf	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)
0.0ms	u1	@	0	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
0.0ms	u1	@	-inf	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
318×	`pow2_binary64`
266×	`pow-prod-down_binary64`
222×	`pow-to-exp_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	289	23
2	3182	23

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (+.f64 1/4 (-.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/2)))))

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary64`
479×	`associate-l_binary64`
418×	`associate-r_binary64`
367×	`log-prod_binary64`
297×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	1685
1	411	1593
2	1159	1569
3	5509	1457

Stop Event

1×	node limit

Counts

93 → 109

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12))
(+.f64 0 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))
(cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(.f64 (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 1/4) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))
(.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 -1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)))
(/.f64 (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (+.f64 1/4 (-.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))
(/.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12))))
(/.f64 (neg.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) -1)
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 -1/4)) -1)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1) 1))
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)
(fma.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/6) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)
(fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6) 1/2)
(fma.f64 (.f64 1/6 (cbrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/2)
(fma.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/2)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
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(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12))))
(.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 1/4 (+.f64 (.f64 (log.f64 u1) -1/18) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (log.f64 u1) -1/18 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 1/4)))
(/.f64 (neg.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2)))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (log.f64 u1) (/.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2) -1/18)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (log.f64 u1) (/.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2) -1/18)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3) 1/3)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) -1)
(.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (.f64 (log.f64 u1) -2) 1/36 1/4) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (+.f64 1/4 (+.f64 (.f64 (log.f64 u1) -1/18) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216 1/8) (fma.f64 (log.f64 u1) -1/18 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/12 1/4)))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (.f64 -2 (log.f64 u1)) 1/36 -1/4)) -1)
(-.f64 (/.f64 (.f64 (log.f64 u1) -2) (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6 -1/2) 1/36)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6 -1/2)))
(+.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2)) (/.f64 -1/4 (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(+.f64 (/.f64 (log.f64 u1) (/.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2) -1/18)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/6 1/2)))
(/.f64 (fma.f64 (log.f64 u1) -1/18 -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2)) 1))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1) 1))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (.f64 -2 (.f64 (log.f64 u1) 1/36))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (.f64 -2 (.f64 (log.f64 u1) 1/36))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6)) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (.f64 1/6 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 (.f64 1/6 (cbrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6)) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (.f64 1/6 (cbrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(fma.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)

localize57.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6 1/2)
✓	0.7b	(pow.f64 (log.f64 u1) 3)
✓	1.0b	(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)

Compiler

Compiled 38 to 28 computations (26.3% saved)

series80.0ms (0.9%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	u1	@	inf	(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
16.0ms	u1	@	-inf	(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
15.0ms	u1	@	0	(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
1.0ms	u1	@	-inf	(fma.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6 1/2)
1.0ms	u1	@	0	(fma.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6 1/2)

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

947×	`pow1_binary64`
890×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
109×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	237	30
2	2507	30

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
(pow.f64 (log.f64 u1) 3)
(fma.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) (cbrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -8 1/6) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/12) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)) 2) 1/6) (pow.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2)) 1/6) (pow.f64 (*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 u1) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 u1) (pow.f64 (log.f64 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 2) (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) (*.f64 (cbrt.f64 (log.f64 u1)) (pow.f64 (log.f64 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (log.f64 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 (log.f64 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 3) (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 u1)) 3) (pow.f64 (sqrt.f64 (log.f64 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1) (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 u1) 2) (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (cbrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 u1) 2) (sqrt.f64 (log.f64 u1))) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 u1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 u1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 u1) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 u1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 3) 1/8) (+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))) (-.f64 1/4 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))) 1/4) (-.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

869×	`fma-def_binary64`
270×	`distribute-rgt-neg-in_binary64`
270×	`exp-prod_binary64`
258×	`distribute-rgt-in_binary64`
249×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1256
1	354	1194
2	1091	1082
3	4072	1078

Stop Event

1×	node limit

Counts

92 → 85

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) (cbrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (pow.f64 -8 1/6) (sqrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 u1) 3) -8) 1/12) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/12))
(.f64 (pow.f64 1 1/6) (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)) 2) 1/6) (pow.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)) 1/6))
(.f64 (pow.f64 (.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2)) 1/6) (pow.f64 (*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2)) 1/6))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 u1) 3))) 1)
(*.f64 (log.f64 u1) (pow.f64 (log.f64 u1) 2))
(*.f64 (pow.f64 (log.f64 u1) 3) 1)
(*.f64 1 (pow.f64 (log.f64 u1) 3))
(*.f64 (pow.f64 (log.f64 u1) 2) (log.f64 u1))
(.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) (.f64 (cbrt.f64 (log.f64 u1)) (pow.f64 (log.f64 u1) 2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (log.f64 u1) 2)))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 3) (log.f64 u1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 u1)) 3) (pow.f64 (sqrt.f64 (log.f64 u1)) 3))
(.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1) (log.f64 u1))
(.f64 (.f64 (pow.f64 (log.f64 u1) 2) (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (cbrt.f64 (log.f64 u1)))
(.f64 (.f64 (pow.f64 (log.f64 u1) 2) (sqrt.f64 (log.f64 u1))) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (pow.f64 (log.f64 u1) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 u1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 u1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 u1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 u1) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 u1) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 u1))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2)
(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) 3) 1/8) (+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))) (-.f64 1/4 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2))))
(/.f64 (-.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))) 1/4) (-.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (*.f64 1/6 (pow.f64 8 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (*.f64 1/6 (pow.f64 8 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (*.f64 1/6 (pow.f64 8 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (*.f64 1/6 (pow.f64 8 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (*.f64 (pow.f64 8 1/6) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (pow.f64 -8 1/6))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (pow.f64 -8 1/6)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) (cbrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) (cbrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(*.f64 (pow.f64 -8 1/6) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 -8 1/6))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 u1) 3) -8) 1/12) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/12))
(pow.f64 (*.f64 -8 (pow.f64 (log.f64 u1) 3)) 1/6)
(.f64 (pow.f64 1 1/6) (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)) 2) 1/6) (pow.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)) 1/6))
(.f64 (pow.f64 (.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2)) 1/6) (pow.f64 (*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2)) 1/6))
(cbrt.f64 (*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2)))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))))))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 3))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))))
(sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 u1) 3))) 1)
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 (log.f64 u1) (pow.f64 (log.f64 u1) 2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 (pow.f64 (log.f64 u1) 3) 1)
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 1 (pow.f64 (log.f64 u1) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 (pow.f64 (log.f64 u1) 2) (log.f64 u1))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) (.f64 (cbrt.f64 (log.f64 u1)) (pow.f64 (log.f64 u1) 2)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (log.f64 u1) 2)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 (log.f64 u1) 3/2))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 3) (log.f64 u1))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 u1)) 3) (pow.f64 (sqrt.f64 (log.f64 u1)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1) (log.f64 u1))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(.f64 (.f64 (pow.f64 (log.f64 u1) 2) (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (cbrt.f64 (log.f64 u1)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(.f64 (.f64 (pow.f64 (log.f64 u1) 2) (sqrt.f64 (log.f64 u1))) (sqrt.f64 (log.f64 u1)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(sqrt.f64 (pow.f64 (log.f64 u1) 6))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(log.f64 (exp.f64 (pow.f64 (log.f64 u1) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 u1) 3))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 u1) 3) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 u1) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 u1) 3)))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 u1))))
(neg.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3))
(pow.f64 (log.f64 u1) 3)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1) 1/2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))) 1)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 1)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) 3) 1/8) (+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))) (-.f64 1/4 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2))))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 3)) 1/8) (-.f64 (+.f64 (.f64 1/36 (.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))) 1/4) (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2))))
(/.f64 (fma.f64 1/216 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 3) 1/8) (-.f64 (fma.f64 1/36 (.f64 (log.f64 u1) (cbrt.f64 -8)) 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 1/12)))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) 3) 1/216 1/8) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) -1/12) (fma.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)) 1/36 1/4)))
(/.f64 (fma.f64 (pow.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)) 3/2) 1/216 1/8) (fma.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)) 1/36 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) -1/12 1/4)))
(/.f64 (-.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))) 1/4) (-.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8)))) 1/2))
(/.f64 (+.f64 (.f64 1/36 (.f64 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))))) -1/4) (fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) -1/2))
(/.f64 (fma.f64 1/36 (.f64 (log.f64 u1) (cbrt.f64 -8)) -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) -1/2))
(/.f64 (fma.f64 (.f64 (log.f64 u1) (cbrt.f64 -8)) 1/36 -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) (cbrt.f64 -8))) -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 1)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 3) 1/3)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 3)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)) 2)
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 2))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2))))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2) 3))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/6 1/2)))
(fma.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) (cbrt.f64 -8))) 1/2)

eval432.0ms (4.6%)

Compiler: Compiled 12401 to 9613 computations (22.5% saved)

prune250.0ms (2.7%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	727	14	741
Fresh	6	3	9
Picked	1	0	1
Done	0	8	8
Total	734	25	759

Error

Counts

759 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	2.0b	(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 3)
	1.1b	(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
	1.0b	(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 1)
	1.3b	(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3) 1/2)
	1.2b	(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) 1/2)
	0.9b	(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2) 1/2)
	1.9b	(+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) 1/2)
✓	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	1.8b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
	1.9b	(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6) 1/2)
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 3/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	1.4b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 3/2) 1/6) 1/2)
	1.1b	(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1) 1/6) 1/2)
✓	0.4b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	1.1b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
	1.0b	(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) 1/2)
✓	1.2b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.9b	(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
	0.9b	(+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1/2)
	1.1b	(+.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))) 1/2)
	1.2b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1/2)
	1.2b	(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216)) 1/2)

Compiler

Compiled 339 to 305 computations (10% saved)

regimes383.0ms (4.1%)

Counts

50 → 1

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 1)
(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1) 1/6) 1/2)
(+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1/2)
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) 1/2)
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) 1/2)
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 3/2) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(+.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))) 1/2)
(+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) 1/2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 3)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)) 1/6 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
(+.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 1/2)
(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
(fma.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3) 1/6 1/2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)) 3)
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(/.f64 (+.f64 (.f64 (log.f64 u1) -1/18) -1/4) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/2))
(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/6 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 3)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 3/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Calls

11 calls:

58.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
36.0ms	(log.f64 u1)
28.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
28.0ms	(*.f64 -2 (log.f64 u1))
27.0ms	(.f64 (.f64 2 (PI.f64)) u2)

Results

Error	Segments	Branch
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)`
0.2b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.2b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.2b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.2b	1	`(*.f64 -2 (log.f64 u1))`
0.2b	1	`(*.f64 -2 (log.f64 u1))`
0.2b	1	`(log.f64 u1)`
0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 723 to 570 computations (21.2% saved)

regimes159.0ms (1.7%)

Counts

33 → 1

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 1)
(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1) 1/6) 1/2)
(+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1/2)
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) 1/2)
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) 1/2)
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) 3/2) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(+.f64 (sqrt.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))) 1/2)
(+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) 1/2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 3)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)) 1/6 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/6 1/2)
(+.f64 (exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 1/2)
(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
(fma.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3) 1/6 1/2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)) 3)

Outputs
(+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1/2)

Calls

6 calls:

52.0ms	u2
20.0ms	(log.f64 u1)
19.0ms	(*.f64 -2 (log.f64 u1))
18.0ms	u1
17.0ms	(log.f64 u1)

Results

Error	Segments	Branch
0.9b	1	`u1`
0.9b	1	`u2`
0.9b	1	`(*.f64 -2 (log.f64 u1))`
0.9b	1	`(*.f64 -2 (log.f64 u1))`
0.9b	1	`(log.f64 u1)`
0.9b	1	`(log.f64 u1)`

Compiler

Compiled 382 to 307 computations (19.6% saved)

regimes21.0ms (0.2%)

Accuracy

Total -0.3b remaining (-31.9%)

Threshold costs -0.3b (-31.9%)

Counts

5 → 1

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 1)
(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1) 1/6) 1/2)

Outputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)

Calls

4 calls:

5.0ms	(*.f64 -2 (log.f64 u1))
5.0ms	u2
5.0ms	(log.f64 u1)
4.0ms	u1

Results

Error	Segments	Branch
0.9b	1	`u1`
0.9b	1	`u2`
0.9b	1	`(*.f64 -2 (log.f64 u1))`
0.9b	1	`(log.f64 u1)`

Compiler

Compiled 66 to 53 computations (19.7% saved)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	30	45

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1/2)
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1/2)
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)

Compiler

Compiled 34 to 30 computations (11.8% saved)

soundness74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

564×	`unswap-sqr_binary64`
554×	`distribute-rgt-in_binary64`
510×	`distribute-lft-in_binary64`
206×	`associate-l_binary64`
202×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	3746
1	711	3547
2	2362	3477

Stop Event

1×	node limit

Compiler

Compiled 43 to 38 computations (11.6% saved)

end67.0ms (0.7%)

Compiler: Compiled 30 to 25 computations (16.7% saved)