Details

analyze47.0ms (0.6%)

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)

sample1.8s (24%)

Results

1.8s

8256×

body

256

valid

Bogosity

preprocess135.0ms (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)

simplify105.0ms (1.4%)

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)

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.4b

Counts

5 → 2

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	(+.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

(+.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 38 to 34 computations (10.5% saved)

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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)

series93.0ms (1.2%)

Counts

4 → 0

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
14.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
13.0ms	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)
7.0ms	u1	@	inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
1.0ms	u2	@	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)

Compiler

Compiled 3895 to 2950 computations (24.3% saved)

rewrite78.0ms (1%)

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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simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

807×	`fma-def_binary64`
543×	`distribute-rgt-in_binary64`
524×	`unswap-sqr_binary64`
501×	`distribute-lft-in_binary64`
330×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	2444
1	538	2309
2	1834	2242

Stop Event

1×	node limit

Counts

105 → 141

Calls

Call 1

Inputs
(+.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.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)))))))
(+.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)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1)
(pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)
(pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 2)
(sqrt.f64 (*.f64 (log.f64 (pow.f64 u1 -2)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(exp.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1))
(+.f64 0 (.f64 2 (.f64 (PI.f64) u2)))
(+.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))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1)
(pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)
(pow.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)
(sqrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 2))
(log.f64 (pow.f64 (exp.f64 u2) (*.f64 2 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2)))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))
(cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (.f64 2 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2))))
(exp.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1))
(+.f64 0 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(+.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)))))))
(+.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)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1)
(*.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1)
(*.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cbrt.f64 (log.f64 (pow.f64 u1 -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4) (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(*.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))
(sqrt.f64 (log.f64 (pow.f64 u1 -2)))
(fabs.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1))
(-.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)
(-.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)))
(.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))
(.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)
(.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))
(.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)))
(.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)))
(.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 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))
(.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 (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 (/.f64 (-.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 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))) (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 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2) (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 (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 (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 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2))))
(/.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 1/4 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 (pow.f64 u1 -2)) 1/36)) (.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))
(/.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) (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2))
(/.f64 (neg.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)) (neg.f64 (-.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 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))
(/.f64 (neg.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)) (neg.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))) (-.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(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) 1)
(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)
(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)
(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)
(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))
(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)))
(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))))
(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))
(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)))
(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)))
(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)))
(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 (.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 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 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 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 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 (.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 (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 (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 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 (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 (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 (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 (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 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/6 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 (.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 0 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(+.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)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.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)))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3) 1/3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 (pow.f64 u1 -2)) 1/36))
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(exp.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(+.f64 0 (.f64 2 (.f64 (PI.f64) u2)))
(.f64 2 (.f64 (PI.f64) u2))
(+.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))))))
(+.f64 (.f64 2 (log.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))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))))
(+.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))))))
(.f64 2 (.f64 (PI.f64) u2))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1)
(.f64 2 (.f64 (PI.f64) u2))
(pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)
(.f64 2 (.f64 (PI.f64) u2))
(pow.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3) 1/3)
(.f64 2 (.f64 (PI.f64) u2))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)
(.f64 2 (.f64 (PI.f64) u2))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)
(.f64 2 (.f64 (PI.f64) u2))
(sqrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 2))
(.f64 2 (.f64 (PI.f64) u2))
(log.f64 (pow.f64 (exp.f64 u2) (*.f64 2 (PI.f64))))
(.f64 2 (.f64 (PI.f64) u2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2)))))
(.f64 2 (.f64 (PI.f64) u2))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3))
(.f64 2 (.f64 (PI.f64) u2))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))
(.f64 2 (.f64 (PI.f64) u2))
(cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (.f64 2 (PI.f64)) 3)))
(.f64 2 (.f64 (PI.f64) u2))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2))))
(.f64 2 (.f64 (PI.f64) u2))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2))))
(.f64 2 (.f64 (PI.f64) u2))
(exp.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))))
(.f64 2 (.f64 (PI.f64) u2))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1))
(.f64 2 (.f64 (PI.f64) u2))
(+.f64 0 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
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(/.f64 (neg.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)) (neg.f64 (-.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 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))
(.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (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 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 -1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8) (+.f64 1/4 (fma.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 -1/12 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8) (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) -1/18) (fma.f64 -1/12 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/4)))
(/.f64 (neg.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)) (neg.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))
(.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) -1/18) -1/4) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2))
(/.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))) (-.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) -1/18) -1/4) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2))
(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) 1)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(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 (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)) 3)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (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)))) (.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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 (log.f64 u1) -1/18))) 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 (PI.f64) u2)))))) (cbrt.f64 (.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (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 u1) -1/18))) 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 (PI.f64) u2)))))) (cbrt.f64 (.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (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 u1) -1/18))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (PI.f64) u2)))) 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 (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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 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 (PI.f64) u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 (log.f64 u1) -1/18))) 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 (PI.f64) u2)))) 1/2)

localize22.0ms (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)

series35.0ms (0.5%)

Counts

4 → 0

Calls

15 calls:

Time	Variable		Point	Expression
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	@	-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	@	-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)

Compiler

Compiled 3775 to 2770 computations (26.6% saved)

rewrite64.0ms (0.8%)

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	50
1	324	50
2	3619	50

Stop Event

1×	node limit

Counts

4 → 90

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

Outputs
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(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))) 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((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 (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 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.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 (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 -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 (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 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))))))

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-def_binary64`
465×	`log-prod_binary64`
301×	`exp-prod_binary64`
286×	`sqr-pow_binary64`
271×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	1413
1	433	1322
2	1567	1308
3	5757	1289

Stop Event

1×	node limit

Counts

90 → 110

Calls

Call 1

Inputs
(+.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 (PI.f64) u2))
(+.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))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) u2))) 1)
(pow.f64 (*.f64 (PI.f64) u2) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) u2) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) u2)) 3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) u2)) 2)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) u2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) u2)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) u2)))
(exp.f64 (log.f64 (*.f64 (PI.f64) u2)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) u2)) 1))
(+.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 (exp.f64 (log1p.f64 (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 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.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))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.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 (.f64 -2 (log.f64 u1))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 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 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
(fma.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))
(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)
(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 (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 3 (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 (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)))) 3)
(+.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)))))
(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)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/2))
(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))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(.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)))
(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)))
(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))))) 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 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 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 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/12)))))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 3)) 1/8) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 2) 1/36) (.f64 -2 (log.f64 u1)) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) -1/12) 1/4)))
(/.f64 (fma.f64 (.f64 1/216 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 3) 1/8) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 2) 1/36) (.f64 -2 (log.f64 u1)) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) -1/12) 1/4)))
(/.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))
(/.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))
(/.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 2) 1/36) (.f64 -2 (log.f64 u1)) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) -1/2))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 2) (.f64 1/36 (.f64 -2 (log.f64 u1))) -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)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(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)
(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)) 3)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(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)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(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))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(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)))
(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))))
(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))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(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)))
(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)))
(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)))
(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))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
(+.f64 0 (*.f64 (PI.f64) u2))
(*.f64 (PI.f64) u2)
(+.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))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))
(*.f64 (PI.f64) u2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) u2))) 1)
(*.f64 (PI.f64) u2)
(pow.f64 (*.f64 (PI.f64) u2) 1)
(*.f64 (PI.f64) u2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) u2) 3) 1/3)
(*.f64 (PI.f64) u2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) u2)) 3)
(*.f64 (PI.f64) u2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) u2)) 2)
(*.f64 (PI.f64) u2)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)) 1/3)
(*.f64 (PI.f64) u2)
(pow.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)) 1/3)
(*.f64 (PI.f64) u2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 2))
(*.f64 (PI.f64) u2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) u2))
(*.f64 (PI.f64) u2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2))))
(*.f64 (PI.f64) u2)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 3))
(*.f64 (PI.f64) u2)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)))
(*.f64 (PI.f64) u2)
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) u2)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) u2)))
(*.f64 (PI.f64) u2)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) u2)))
(*.f64 (PI.f64) u2)
(exp.f64 (log.f64 (*.f64 (PI.f64) u2)))
(*.f64 (PI.f64) u2)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) u2)) 1))
(*.f64 (PI.f64) u2)
(+.f64 0 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(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 3 (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)))))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(sqrt.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 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.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))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(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)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(+.f64 0 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
(.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 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1/6))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))))
(+.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 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))) 1)
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))
(pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))) 1)
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))
(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 u2 2))))
(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 u2 2))))
(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 u2 2))))
(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 u2 2))))
(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 u2 2))))
(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 u2 2))))
(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 u2 2))))
(expm1.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(.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))))))
(.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))))))
(.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))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))

eval125.0ms (1.6%)

Compiler: Compiled 5979 to 4564 computations (23.7% saved)

prune46.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	241	10	251
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	243	10	253

Error

Counts

253 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(fma.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
▶	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.6b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 3) 1/3) 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))) (cbrt.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 3)) 1/2)
	0.7b	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
	0.5b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
▶	0.6b	(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))

Compiler

Compiled 390 to 350 computations (10.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 59 to 39 computations (33.9% saved)

series30.0ms (0.4%)

Counts

3 → 0

Calls

12 calls:

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

Compiler

Compiled 3175 to 2410 computations (24.1% saved)

rewrite73.0ms (1%)

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

Outputs

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

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(cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (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) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1/18) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (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 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (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 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 -1/18) 1/2)))))

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

773×	`fma-def_binary64`
408×	`distribute-rgt-in_binary64`
365×	`distribute-lft-in_binary64`
257×	`*-commutative_binary64`
221×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	2320
1	447	2270
2	1620	2073

Stop Event

1×	node limit

Counts

93 → 122

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 (log.f64 u1) -1/18))
(*.f64 (log.f64 u1) -1/18)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 u1 -1/18)) 2)) (log.f64 (cbrt.f64 (pow.f64 u1 -1/18))))
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(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/2)) 1))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) 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 (log.f64 u1) -1/18))) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (cbrt.f64 (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 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 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 (PI.f64) u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 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 -1/18 (.f64 (log.f64 u1) (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 2 (.f64 (PI.f64) u2))))) (cbrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 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 -1/18 (.f64 (log.f64 u1) (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 2 (.f64 (PI.f64) u2))))) (cbrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 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 (log.f64 u1) -1/18))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (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 (PI.f64) (*.f64 2 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 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (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 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cbrt.f64 (pow.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 (log.f64 u1) -1/18)) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))))) (sqrt.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 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 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 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 (PI.f64) u2)))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (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 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 -1/18) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 (PI.f64) (*.f64 2 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 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 50 computations (30.6% saved)

series44.0ms (0.6%)

Counts

3 → 0

Calls

15 calls:

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

Compiler

Compiled 5075 to 3670 computations (27.7% saved)

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`log-prod_binary64`
571×	`prod-diff_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	352	55
2	4077	55

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

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

(*.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)

Outputs

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

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

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-def_binary64`
461×	`fma-neg_binary64`
421×	`unswap-sqr_binary64`
397×	`distribute-rgt-in_binary64`
373×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2649
1	514	2582
2	1793	2335
3	7676	2335

Stop Event

1×	node limit

Counts

88 → 115

Calls

Call 1

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

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

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 42 computations (37.3% saved)

series121.0ms (1.6%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	u1	@	0	(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
19.0ms	u1	@	-inf	(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
14.0ms	u1	@	inf	(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
8.0ms	u2	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u2	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

Compiler

Compiled 4615 to 3850 computations (16.6% saved)

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`log-prod_binary64`
575×	`prod-diff_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
275×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	369	40
2	4113	40

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

448×	`log-prod_binary64`
379×	`exp-prod_binary64`
368×	`fma-def_binary64`
366×	`fma-neg_binary64`
273×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	177	1415
1	320	1325
2	1010	1248
3	3920	1236
4	6194	1233

Stop Event

1×	node limit

Counts

75 → 95

Calls

Call 1

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

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

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)
	0.2b	(*.f64 (PI.f64) u2)
✓	0.4b	(fma.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
✓	0.6b	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)

Compiler

Compiled 70 to 45 computations (35.7% saved)

series123.0ms (1.6%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
50.0ms	u1	@	-inf	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
14.0ms	u1	@	inf	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
12.0ms	u1	@	0	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
6.0ms	u2	@	inf	(fma.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u2	@	0	(fma.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

Compiler

Compiled 3885 to 3200 computations (17.6% saved)

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log-prod_binary64`
575×	`prod-diff_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
259×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	375	41
2	4155	41

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)

(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)

(pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)

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

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

515×	`fma-def_binary64`
401×	`distribute-rgt-in_binary64`
389×	`distribute-lft-in_binary64`
347×	`unswap-sqr_binary64`
227×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	1546
1	355	1467
2	1209	1385
3	5216	1362

Stop Event

1×	node limit

Counts

82 → 105

Calls

Call 1

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

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

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (PI.f64) (.f64 u2 2))
✓	0.4b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)
✓	0.6b	(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))
✓	0.7b	(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)

Compiler

Compiled 93 to 67 computations (28% saved)

series198.0ms (2.6%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	0	(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))
3.0ms	u1	@	inf	(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))
3.0ms	u2	@	0	(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)
2.0ms	u1	@	-inf	(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))
2.0ms	u1	@	0	(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))

Compiler

Compiled 20875 to 16530 computations (20.8% saved)

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`log-prod_binary64`
420×	`pow2_binary64`
361×	`prod-diff_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	386	75
2	3996	75

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs

(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)

(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))

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

Outputs

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

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

541×	`fma-def_binary64`
443×	`associate-+l+_binary64`
388×	`unswap-sqr_binary64`
370×	`associate-+r+_binary64`
329×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	2688
1	328	2583
2	1131	2579
3	4193	2571

Stop Event

1×	node limit

Counts

95 → 91

Calls

Call 1

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

Outputs
(+.f64 0 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 3))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 3)
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2) 3)
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 2)) (.f64 1/2 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 2)))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 3)
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2) 3)
(+.f64 (.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))) (.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 2) 1/2))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 3)
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2) 3)
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(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(+.f64 0 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 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 u2)))) 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 u2)))) 1/2)))))
(+.f64 (.f64 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 u2)))) 1/2))))) (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 u2)))) 1/2)))))
(.f64 3 (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 u2)))) 1/2)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 (PI.f64) 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 u2)))) 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 u2)))) 1/2)))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2))) 1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 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 u2)))) 1/2)) 2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(.f64 (pow.f64 1 1/3) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2))))) 3) 1/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 3) 1/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 3) 1/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/12)))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 3) 1/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) -1/12) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 3)) 1/8) (fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 6) (.f64 -2 (log.f64 u1)) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 u2 (*.f64 (PI.f64) 2))) -1/12) 1/4)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2) 1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) -1/2))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 2) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) -1/2))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 6) (.f64 -2 (log.f64 u1)) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) -1/2))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 3) 1/3)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2)) 3)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)) 2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2) 3))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 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 u2)))) 1/2)) 1))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 1/2) 3)) 1/3))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2)))) 1/2)

eval271.0ms (3.5%)

Compiler: Compiled 15553 to 10410 computations (33.1% saved)

prune103.0ms (1.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	638	11	649
Fresh	5	0	5
Picked	1	0	1
Done	2	2	4
Total	646	13	659

Error

Counts

659 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.6b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
▶	0.2b	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
	0.5b	(+.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)

Compiler

Compiled 448 to 400 computations (10.7% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 62 to 42 computations (32.3% saved)

series25.0ms (0.3%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	0	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u2	@	inf	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u2	@	-inf	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	inf	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 2755 to 2070 computations (24.9% saved)

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log-prod_binary64`
520×	`prod-diff_binary64`
389×	`pow2_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	318	29
2	3724	29

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) 1/4) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) 1/4) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2) (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/8) (-.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) 1/4) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/8) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) -1/4) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/8)) (neg.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) 1/4) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) 1/4) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2) (fma.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (log.f64 u1) -1/18))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1/18) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (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) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (sqrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (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 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (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 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 -1/18) 1/2)))))

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

858×	`times-frac_binary64`
666×	`associate-/l*_binary64`
240×	`fma-def_binary64`
218×	`fma-neg_binary64`
215×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2043
1	355	2003
2	1015	1973
3	3874	1788

Stop Event

1×	node limit

Counts

71 → 90

Calls

Call 1

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

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

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (pow.f64 u1 -1/18))
✓	0.1b	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	2.7b	(pow.f64 u1 -1/18)

Compiler

Compiled 60 to 44 computations (26.7% saved)

series53.0ms (0.7%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	u1	@	0	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
13.0ms	u1	@	-inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
11.0ms	u1	@	inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
0.0ms	u1	@	-inf	(pow.f64 u1 -1/18)
0.0ms	u1	@	0	(pow.f64 u1 -1/18)

Compiler

Compiled 1075 to 955 computations (11.2% saved)

rewrite43.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
478×	`add-log-exp_binary64`
478×	`log1p-expm1-u_binary64`
478×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	124	18
2	1357	18

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(pow.f64 u1 -1/18)
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(log.f64 (pow.f64 u1 -1/18))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 u1 -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 u1 -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 u1 -1/18)) (pow.f64 (cbrt.f64 (pow.f64 u1 -1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 u1 -1/18)) 2) (cbrt.f64 (pow.f64 u1 -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 u1 -1/36) (pow.f64 u1 -1/36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/18) (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 u1) 2) -1/18) (pow.f64 (cbrt.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 u1) -1/18) (pow.f64 (sqrt.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 u1 -1/18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 u1 -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 u1 -1/18) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 u1 -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 u1 -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/18 (log.f64 u1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 -1/18) (pow.f64 (log.f64 u1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/18 (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 (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))))) (#(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 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 +.f64 (*.f64 (log.f64 u1) -1/36) (*.f64 (log.f64 u1) -1/36))))) (#(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 0 (*.f64 -1/18 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/18 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/18 (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/18 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 u1) -1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 2) (cbrt.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) (*.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (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 (*.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (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 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 (pow.f64 (*.f64 -1/18 (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 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 2))))) (#(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))))))))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-neg_binary64`
734×	`log-prod_binary64`
379×	`fma-def_binary64`
260×	`*-commutative_binary64`
259×	`exp-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	636
1	254	524
2	988	422
3	3755	417
4	6682	417

Stop Event

1×	node limit

Counts

63 → 72

Calls

Call 1

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

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

localize59.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (*.f64 (log.f64 u1) -1/18))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 80 to 56 computations (30% saved)

series52.0ms (0.7%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	u1	@	inf	(log.f64 (*.f64 (log.f64 u1) -1/18))
13.0ms	u1	@	-inf	(log.f64 (*.f64 (log.f64 u1) -1/18))
12.0ms	u1	@	0	(log.f64 (*.f64 (log.f64 u1) -1/18))
0.0ms	u1	@	0	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
0.0ms	u1	@	-inf	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))

Compiler

Compiled 975 to 820 computations (15.9% saved)

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
652×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	173	16
2	1887	16

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

377×	`unswap-sqr_binary64`
333×	`log-prod_binary64`
297×	`fma-neg_binary64`
277×	`associate-/l*_binary64`
272×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	761
1	241	704
2	893	545
3	4018	545

Stop Event

1×	node limit

Counts

50 → 58

Calls

Call 1

Inputs
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(-.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 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)
(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 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(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 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18))
(+.f64 (log.f64 (log.f64 u1)) (*.f64 (log.f64 -1/18) 1))
(+.f64 (log.f64 -1/18) (log.f64 (log.f64 u1)))
(+.f64 0 (log.f64 (*.f64 (log.f64 u1) -1/18)))
(+.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (log.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))))
(-.f64 (+.f64 1 (log.f64 (*.f64 (log.f64 u1) -1/18))) 1)
(.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.f64 1 (log.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) 2) (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (sqrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) 3) (pow.f64 (log.f64 -1/18) 3)) (+.f64 (.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (-.f64 (.f64 (log.f64 -1/18) (log.f64 -1/18)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))
(/.f64 (-.f64 (.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (.f64 (log.f64 -1/18) (log.f64 -1/18))) (-.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))
(pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(log1p.f64 (-.f64 (*.f64 (log.f64 u1) -1/18) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))

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

localize44.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

series48.0ms (0.6%)

Counts

3 → 0

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
2.0ms	u1	@	-inf	(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
2.0ms	u1	@	inf	(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
2.0ms	u2	@	inf	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
1.0ms	u2	@	0	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))

Compiler

Compiled 3805 to 3080 computations (19.1% saved)

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`log-prod_binary64`
411×	`pow2_binary64`
361×	`prod-diff_binary64`
286×	`pow1/3_binary64`
284×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	346	40
2	3907	40

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-def_binary64`
464×	`log-prod_binary64`
301×	`distribute-rgt-in_binary64`
295×	`distribute-lft-in_binary64`
261×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	1041
1	347	974
2	1193	972
3	4983	962

Stop Event

1×	node limit

Counts

72 → 89

Calls

Call 1

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

Outputs
(+.f64 0 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(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 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 3)
(+.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 -2 (log.f64 u1)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.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 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (pow.f64 -2 3/2)) (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 -2 (log.f64 u1)))) 1/3))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(+.f64 0 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(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 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))
(.f64 3 (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)))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))) 1)
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (.f64 -2 (log.f64 u1)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1)
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 -2 (log.f64 u1)))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(*.f64 (pow.f64 -2 3/2) (pow.f64 (log.f64 u1) 3/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -2 3/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/4))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (.f64 (.f64 -2 (log.f64 u1)) (cbrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (.f64 (.f64 -2 (log.f64 u1)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(sqrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(log.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 3))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (.f64 -2 (log.f64 u1)))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 -2 (log.f64 u1)))) 1))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(+.f64 0 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 3) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 3)) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 3) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 2) 1/36)))
(sqrt.f64 (.f64 -2 (.f64 (log.f64 u1) (.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 2) 1/36))))
(sqrt.f64 (.f64 (log.f64 u1) (.f64 -2 (.f64 (pow.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 2) 1/36))))
(sqrt.f64 (.f64 -2 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/36))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 3) (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))) 1))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)
	0.2b	(.f64 (PI.f64) (.f64 u2 2))
✓	0.4b	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
	0.6b	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)

Compiler

Compiled 88 to 64 computations (27.3% saved)

series65.0ms (0.9%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
1.0ms	u1	@	-inf	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
1.0ms	u1	@	inf	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
1.0ms	u2	@	inf	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))
1.0ms	u2	@	0	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))

Compiler

Compiled 2725 to 2120 computations (22.2% saved)

rewrite95.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log-prod_binary64`
412×	`pow2_binary64`
361×	`prod-diff_binary64`
284×	`pow1/3_binary64`
284×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	354	23
2	3957	23

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2)))))

Outputs

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

776×	`log-prod_binary64`
687×	`associate-l_binary64`
616×	`associate-r_binary64`
388×	`exp-sum_binary64`
242×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	500
1	148	469
2	491	469
3	4252	469
4	7398	469

Stop Event

1×	node limit

Counts

20 → 23

Calls

Call 1

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

Outputs
(+.f64 0 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 3) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 3)) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 (pow.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 2) 1/36)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))

eval299.0ms (3.9%)

Compiler: Compiled 11855 to 8703 computations (26.6% saved)

prune169.0ms (2.2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	549	3	552
Fresh	1	5	6
Picked	0	1	1
Done	0	6	6
Total	550	15	565

Error

Counts

565 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.6b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
✓	0.2b	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 (log.f64 u1) -1/18))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 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)
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
▶	0.3b	(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)

Compiler

Compiled 429 to 383 computations (10.7% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 84 to 60 computations (28.6% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

Compiler

Compiled 495 to 420 computations (15.2% saved)

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
820×	`add-log-exp_binary64`
820×	`log1p-expm1-u_binary64`
820×	`expm1-log1p-u_binary64`
806×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	194	8
2	2571	8

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)))) (#(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 -1 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1) 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 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(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 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(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 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)) (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 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) (-.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) -1) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1)))))) (#(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 sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (#(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 fma.f64 1 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) (hypot.f64 1 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) -1)))))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

606×	`div-sub_binary64`
450×	`fma-def_binary64`
281×	`sub-neg_binary64`
278×	`associate-l_binary64`
277×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	836
1	248	787
2	885	775
3	5713	757

Stop Event

1×	node limit

Counts

44 → 56

Calls

Call 1

Inputs
(+.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1))
(+.f64 1 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) -1)
(+.f64 -1 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.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 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.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 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 2))))
(.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) -1) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (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 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(.f64 (+.f64 (hypot.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4)) 1) (-.f64 (hypot.f64 1 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 2) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) (-.f64 1 (.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) -1) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) -1) (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2) -1)) (neg.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1))))
(/.f64 (-.f64 1 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1))) (-.f64 1 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) -1)))
(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)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(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))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4)) (hypot.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4)) -1)

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

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))

Compiler

Compiled 72 to 50 computations (30.6% saved)

series73.0ms (1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
2.0ms	u1	@	0	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
2.0ms	u1	@	inf	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
0.0ms	u1	@	inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
0.0ms	u1	@	-inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)

Compiler

Compiled 1215 to 1060 computations (12.8% saved)

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	165	17
2	1827	17

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)

Outputs

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

531×	`exp-prod_binary64`
503×	`fma-neg_binary64`
453×	`associate-l_binary64`
418×	`associate-r_binary64`
335×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	650
1	201	542
2	581	434
3	3025	425
4	7134	425

Stop Event

1×	node limit

Counts

43 → 52

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 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))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 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))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(+.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))
(.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 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(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 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))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.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))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -1/18 3/2)))
(.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 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(+.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))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3) (pow.f64 (pow.f64 -1/18 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -1/18 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4) 1/6) 4)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(+.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))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 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 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 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 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 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 (log.f64 u1) -1/18))) 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 (log.f64 u1) -1/18))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(+.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 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.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 (log.f64 u1) -1/18))))
(+.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 (log.f64 u1) -1/18))))
(+.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 (log.f64 u1) -1/18))))
(+.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))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1)
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (.f64 (log.f64 u1) -1/18) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1)
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (*.f64 (log.f64 u1) -1/18))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -1/18 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(*.f64 (pow.f64 -1/18 3/2) (pow.f64 (log.f64 u1) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (.f64 (.f64 (log.f64 u1) -1/18) (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (.f64 (.f64 (log.f64 u1) -1/18) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (.f64 (log.f64 u1) -1/18))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 0)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 53 computations (29.3% saved)

series19.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
1.0ms	u1	@	inf	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
1.0ms	u1	@	-inf	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
0.0ms	u1	@	-inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)
0.0ms	u1	@	0	(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)

Compiler

Compiled 1215 to 1060 computations (12.8% saved)

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	193	17
2	2030	17

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)

Outputs

((#(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 (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 (*.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 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (*.f64 (cbrt.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 (pow.f64 (log.f64 u1) 1/4) (*.f64 (pow.f64 -1/18 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8)) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4)) (*.f64 (pow.f64 -1/18 1/4) (pow.f64 -1/18 1/4)))))) (#(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 *.f64 (pow.f64 (pow.f64 (log.f64 u1) 1/4) 2) (pow.f64 (pow.f64 -1/18 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (log.f64 u1) 1/4)) (pow.f64 -1/18 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (#(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 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3))))) (#(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 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) (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 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 -1/18 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1/18 1/4) (pow.f64 (log.f64 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324)) 1/4) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/4) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 (log.f64 u1) -1/18))))))))

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

468×	`log-prod_binary64`
454×	`fma-neg_binary64`
403×	`associate-l_binary64`
351×	`associate-r_binary64`
329×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	756
1	193	654
2	482	552
3	2226	552
4	4307	552

Stop Event

1×	node limit

Counts

45 → 54

Calls

Call 1

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

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

localize68.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.5b	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))

Compiler

Compiled 76 to 52 computations (31.6% saved)

series217.0ms (2.8%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
162.0ms	u1	@	-inf	(log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
16.0ms	u1	@	inf	(log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
13.0ms	u1	@	0	(log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
0.0ms	u1	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
0.0ms	u1	@	inf	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))

Compiler

Compiled 1155 to 1000 computations (13.4% saved)

rewrite41.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`pow1_binary64`
533×	`expm1-log1p-u_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
520×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	139	18
2	1495	18

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))

Outputs

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

355×	`log-prod_binary64`
352×	`times-frac_binary64`
331×	`associate-l_binary64`
297×	`associate-r_binary64`
297×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	602
1	187	458
2	649	446
3	4035	428

Stop Event

1×	node limit

Counts

40 → 49

Calls

Call 1

Inputs
(+.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1) -1)
(-.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.f64 1 (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 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.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 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (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 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1) 3) 1) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)) (+.f64 1 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1) 1))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)
(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)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(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))
(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 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1)
(.f64 1 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)
(pow.f64 (pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2))
(log.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(exp.f64 (log.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))

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

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 53 computations (29.3% saved)

series19.0ms (0.2%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	u1	@	0	(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))
1.0ms	u1	@	inf	(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))
1.0ms	u1	@	-inf	(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))

Compiler

Compiled 555 to 480 computations (13.5% saved)

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
683×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	177	8
2	1984	8

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))

Outputs

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

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

788×	`unswap-sqr_binary64`
694×	`fma-def_binary64`
376×	`associate-l_binary64`
302×	`associate-r_binary64`
295×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	322
1	100	286
2	244	250
3	628	250
4	2382	250
5	6413	250

Stop Event

1×	node limit

Counts

20 → 25

Calls

Call 1

Inputs
(-.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 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.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 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 (log.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 1)) (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (log.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log.f64 (*.f64 (log.f64 u1) -1/18))))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 (log.f64 u1))) (pow.f64 (exp.f64 1/2) (log.f64 -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(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 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3))
(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))))

Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 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))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 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))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(+.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))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.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 (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 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.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))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))) (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 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 (log.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(+.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))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 1)) (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (log.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (log.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (sqrt.f64 (exp.f64 1/2)) (log.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (sqrt.f64 (exp.f64 1/2)) (.f64 2 (log.f64 (.f64 (log.f64 u1) -1/18))))
(*.f64 (pow.f64 (exp.f64 1/2) (log.f64 (log.f64 u1))) (pow.f64 (exp.f64 1/2) (log.f64 -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(+.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 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.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))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 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 (log.f64 u1) -1/18))))
(+.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 (log.f64 u1) -1/18))))
(+.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 (log.f64 u1) -1/18))))
(+.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))

eval284.0ms (3.7%)

Compiler: Compiled 10929 to 8430 computations (22.9% saved)

prune112.0ms (1.5%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	512	0	512
Fresh	0	3	3
Picked	0	1	1
Done	0	11	11
Total	512	15	527

Error

Counts

527 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.6b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
✓	0.2b	(+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (pow.f64 (exp.f64 1/2) (log.f64 (.f64 (log.f64 u1) -1/18))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 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)
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
✓	0.3b	(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)

Compiler

Compiled 278 to 248 computations (10.8% saved)

regimes158.0ms (2.1%)

Accuracy

Total -1.4b remaining (-654.7%)

Threshold costs -1.4b (-654.7%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

11 calls:

23.0ms	(*.f64 -2 (log.f64 u1))
16.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
14.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
13.0ms	(+.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)
13.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

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 544 to 427 computations (21.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	20	23

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

soundness79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

807×	`fma-def_binary64`
543×	`distribute-rgt-in_binary64`
524×	`unswap-sqr_binary64`
501×	`distribute-lft-in_binary64`
330×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	2444
1	538	2309
2	1834	2242

Stop Event

1×	node limit

Compiler

Compiled 52 to 46 computations (11.5% saved)

end20.0ms (0.3%)

Compiler: Compiled 16 to 14 computations (12.5% saved)