Details

analyze90.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample2.3s (28.4%)

Results

2.3s

8256×

body

256

valid

preprocess147.0ms (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)

simplify116.0ms (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 → 2

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 36 to 30 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.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 21 to 19 computations (9.5% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.5b	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 85 to 63 computations (25.9% saved)

series70.0ms (0.9%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
20.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
12.0ms	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))
2.0ms	u1	@	0	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite93.0ms (1.1%)

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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simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1030×	`distribute-lft-out_binary64`
428×	`unswap-sqr_binary64`
413×	`associate-l_binary64`
412×	`associate-r_binary64`
409×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1194
1	192	1142
2	550	1125
3	2310	1104
4	3047	1094
5	5321	1094
6	7090	1094

Stop Event

1×	node limit

Counts

165 → 128

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
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(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))

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

eval66.0ms (0.8%)

Compiler: Compiled 3091 to 2430 computations (21.4% saved)

prune28.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	10	129

Error

0.1b

Counts

129 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	31.3b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	31.2b	(fma.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
	31.1b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	64.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
	31.3b	(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)))
▶	31.3b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.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)
▶	0.4b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	31.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 363 to 327 computations (9.9% saved)

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.5b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 91 to 73 computations (19.8% saved)

series22.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	u1	@	-inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	0	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	0	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
1.0ms	u1	@	-inf	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u1	@	inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
824×	`add-log-exp_binary64`
824×	`log1p-expm1-u_binary64`
824×	`expm1-log1p-u_binary64`
807×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	222	30
2	2387	30

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (neg.f64 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (neg.f64 (log.f64 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3/2) (.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) (cbrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (neg.f64 (log.f64 u1)) 1/4) (pow.f64 (neg.f64 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))))

Outputs

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

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

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

simplify35.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

97×	`fma-neg_binary64`
55×	`fma-def_binary64`
35×	`associate-l_binary64`
29×	`cancel-sign-sub-inv_binary64`
27×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	380

Stop Event

1×

saturated

Counts

69 → 54

Calls

Call 1

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

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

localize16.0ms (0.2%)

Compiler: Compiled 37 to 24 computations (35.1% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
✓	0.4b	(*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))

Compiler

Compiled 82 to 49 computations (40.2% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
1.0ms	u1	@	0	(*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))
1.0ms	u1	@	0	(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
1.0ms	u1	@	-inf	(*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))
1.0ms	u1	@	inf	(*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`pow1_binary64`
719×	`add-log-exp_binary64`
718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	204	24
2	2287	24

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

584×	`unswap-sqr_binary64`
510×	`distribute-rgt-in_binary64`
379×	`unsub-neg_binary64`
339×	`fma-def_binary64`
330×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	552
1	75	468
2	180	464
3	403	464
4	988	464
5	1280	464
6	1948	464
7	3654	464
8	4507	464
9	5663	464
10	7009	464
11	7480	464
12	7967	464

Stop Event

1×	node limit

Counts

82 → 59

Calls

Call 1

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

Outputs
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) -1/6)
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) -1/6)
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) -1/6)
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) -1/6)
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -1)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 2))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))

localize57.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2)
✓	0.5b	(*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2)))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2))
✓	30.0b	(log.f64 (pow.f64 u1 -2))

Compiler

Compiled 97 to 79 computations (18.6% saved)

series88.0ms (1.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	u1	@	0	(pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2)
14.0ms	u1	@	inf	(pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2)
12.0ms	u1	@	-inf	(pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2)
9.0ms	u1	@	-inf	(log.f64 (pow.f64 u1 -2))
8.0ms	u1	@	inf	(log.f64 (pow.f64 u1 -2))

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
858×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
841×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	244	34
2	2480	34

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -2 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 u1) -1) (.f64 (log.f64 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 u1 -4))) (log.f64 (cbrt.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -2 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 u1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2) (cbrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (sqrt.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)) 3/4) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.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 pow.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) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -2 (log.f64 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (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 (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 .f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/4) 1/3) (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/4) 1/3))))) (#(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 expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 -2 (log.f64 u1)) 1/36))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (log.f64 u1)) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 -2 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.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 -2 3/2) (pow.f64 (log.f64 u1) 3/2))))) (#(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 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)))))))))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

672×	`unsub-neg_binary64`
606×	`fma-neg_binary64`
384×	`distribute-rgt-neg-in_binary64`
327×	`distribute-rgt-in_binary64`
289×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	576
1	81	576
2	130	552
3	252	552
4	569	552
5	1889	552
6	4548	552

Stop Event

1×	node limit

Counts

123 → 93

Calls

Call 1

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

Outputs
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)))
(*.f64 (sqrt.f64 8) (pow.f64 (log.f64 (/.f64 -1 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)))
(*.f64 (sqrt.f64 8) (pow.f64 (log.f64 (/.f64 -1 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)))
(*.f64 (sqrt.f64 8) (pow.f64 (log.f64 (/.f64 -1 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 u1)) 3)))
(*.f64 (sqrt.f64 8) (pow.f64 (log.f64 (/.f64 -1 u1)) 3/2))

localize56.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
✓	0.6b	(cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)
	30.0b	(log.f64 (pow.f64 u1 -2))

Compiler

Compiled 97 to 78 computations (19.6% saved)

series13.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	inf	(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)
3.0ms	u1	@	0	(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)
1.0ms	u1	@	-inf	(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)
0.0ms	u1	@	inf	(cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
0.0ms	u1	@	-inf	(cbrt.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`pow1_binary64`
789×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
770×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	233	35
2	2272	35

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify197.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

783×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
677×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	532
1	65	532
2	113	532
3	200	532
4	343	532
5	806	532
6	1141	532
7	1838	532
8	2035	532
9	2304	532
10	2613	532
11	3048	532
12	3545	532
13	4149	532
14	4903	532
15	5840	532
16	6346	532
17	6836	532
18	7234	532
19	7554	532
20	7716	532

Stop Event

1×	node limit

Counts

97 → 65

Calls

Call 1

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

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 2 (log.f64 (/.f64 1 u1))) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 2 (log.f64 (/.f64 1 u1))) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 2 (log.f64 (/.f64 1 u1))) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 2 (log.f64 (/.f64 1 u1))) 1/6) (cbrt.f64 1/6))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 (log.f64 u1) -2) 1/6))
(.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 u1)) 2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 2 (log.f64 (/.f64 -1 u1))) 1/6))
(.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 u1)) 2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 2 (log.f64 (/.f64 -1 u1))) 1/6))
(.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 u1)) 2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 2 (log.f64 (/.f64 -1 u1))) 1/6))
(.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 u1)) 2) 1/6) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (pow.f64 (.f64 2 (log.f64 (/.f64 -1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 -1 u1))) (.f64 1/6 (sqrt.f64 2)))

eval139.0ms (1.7%)

Compiler: Compiled 7446 to 5784 computations (22.3% saved)

prune61.0ms (0.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	328	10	338
Fresh	4	0	4
Picked	1	0	1
Done	2	3	5
Total	335	13	348

Error

Counts

348 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 (exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (.f64 1/6 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) 2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.4b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.6b	(+.f64 (.f64 (.f64 1/6 (exp.f64 (log.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	64.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
	0.5b	(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.8b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 463 to 418 computations (9.7% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

Compiler

Compiled 72 to 50 computations (30.6% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`log-prod_binary64`
520×	`prod-diff_binary64`
298×	`expm1-udef_binary64`
298×	`log1p-udef_binary64`
273×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	353	35
2	4075	35

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

((#(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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) (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))))))))) (#(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 (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 1/6 (sqrt.f64 (*.f64 -2 (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 (*.f64 -2 (log.f64 u1))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (log.f64 u1) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -2) (pow.f64 (*.f64 (log.f64 u1) 1/36) 1/2))))) (#(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 1/36 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(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 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 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 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(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)) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify148.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
382×	`associate-r_binary64`
353×	`associate-l_binary64`
302×	`sqr-pow_binary64`
248×	`+-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	72	924
1	187	899
2	523	872
3	2160	870
4	3016	868
5	3831	859
6	5127	859
7	6617	850
8	7538	845
9	7966	845

Stop Event

1×	node limit

Counts

145 → 117

Calls

Call 1

Inputs
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)

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

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.5b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)

Compiler

Compiled 71 to 49 computations (31% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`log-prod_binary64`
572×	`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	43
1	352	43
2	4080	43

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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simplify102.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1030×	`distribute-lft-out_binary64`
434×	`associate-l_binary64`
428×	`unswap-sqr_binary64`
423×	`associate-r_binary64`
408×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1138
1	194	1086
2	558	1069
3	2332	1048
4	3074	1038
5	5346	1038
6	7113	1038

Stop Event

1×	node limit

Counts

143 → 116

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))

Compiler

Compiled 80 to 51 computations (36.3% saved)

series10.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`log-prod_binary64`
572×	`prod-diff_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`
253×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	377	29
2	4516	29

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) (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))))))))) (#(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 pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1)))) (#(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 (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 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 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 3/2) (*.f64 (sqrt.f64 1/18) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/18) 1/18) (pow.f64 (log.f64 u1) 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 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18)) (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 (+.f64 1/8 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18) 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (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))) 2) (*.f64 (log.f64 u1) 1/18) -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 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18) 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))) (+.f64 1/8 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3))))))) (#(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 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3)) (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18) 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3)) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (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))) 2) (*.f64 (log.f64 u1) 1/18) -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 (+.f64 1/8 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18) 1/4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (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))) 2) (*.f64 (log.f64 u1) 1/18) -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 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18))) (-.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 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 (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 1/18) (*.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(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 (pow.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 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18))) (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 (cbrt.f64 (log.f64 u1)) (*.f64 (cbrt.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 (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 (log.f64 u1) 1/4) (*.f64 (pow.f64 (log.f64 u1) 1/4) (*.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 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) (*.f64 (sqrt.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 (*.f64 (sqrt.f64 1/18) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) 1/6) (*.f64 (sqrt.f64 2) (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)) (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)))) (#(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))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 1/18) 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))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) (sqrt.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))) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6)) (sqrt.f64 2) 1/2)))))

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

734×	`associate-l_binary64`
689×	`associate-r_binary64`
502×	`unswap-sqr_binary64`
392×	`fma-neg_binary64`
322×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	80	1186
1	213	1065
2	689	1038
3	3472	1003
4	5228	1003
5	6226	994
6	7546	994

Stop Event

1×	node limit

Counts

106 → 88

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))

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

localize54.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
✓	0.3b	(log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
✓	0.5b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

Compiler

Compiled 92 to 66 computations (28.3% saved)

series169.0ms (2.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
108.0ms	u1	@	-inf	(log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
31.0ms	u1	@	inf	(log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
26.0ms	u1	@	0	(log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
1.0ms	u1	@	0	(exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
1.0ms	u1	@	0	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
694×	`add-log-exp_binary64`
694×	`log1p-expm1-u_binary64`
694×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	184	35
2	1923	35

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify279.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
609×	`distribute-neg-in_binary64`
482×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	576
1	61	576
2	122	576
3	243	576
4	356	576
5	542	576
6	1122	576
7	2638	576
8	3388	576
9	4171	576
10	4511	576
11	4577	576
12	4583	576
13	4589	576
14	4589	576
15	5293	576
16	6129	576
17	6509	576
18	6635	576
19	6719	576
20	6719	576

Stop Event

1×	node limit

Counts

101 → 61

Calls

Call 1

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

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1)))))
(log.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2)))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(log.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (*.f64 1/6 (sqrt.f64 -1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))

localize48.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.5b	(.f64 1/6 (exp.f64 (log.f64 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1)))))))
✓	0.7b	(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))))

Compiler

Compiled 99 to 64 computations (35.4% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
703×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	210	27
2	2303	27

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify227.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
611×	`distribute-neg-in_binary64`
480×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	480
1	51	480
2	89	480
3	157	480
4	226	480
5	412	480
6	989	480
7	2508	480
8	3259	480
9	4042	480
10	4380	480
11	4446	480
12	4452	480
13	4458	480
14	4458	480
15	5162	480
16	6002	480
17	6374	480
18	6500	480
19	6584	480
20	6584	480

Stop Event

1×	node limit

Counts

99 → 47

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))

eval258.0ms (3.2%)

Compiler: Compiled 12297 to 9026 computations (26.6% saved)

prune85.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	545	9	554
Fresh	4	1	5
Picked	1	0	1
Done	5	2	7
Total	555	12	567

Error

Counts

567 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	64.0b	(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
	0.5b	(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) 1/6) (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)
	0.6b	(+.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 (.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (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)

Compiler

Compiled 400 to 358 computations (10.5% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(*.f64 -1/18 (log.f64 u1))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite75.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

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

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

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

simplify148.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
383×	`associate-r_binary64`
354×	`associate-l_binary64`
302×	`sqr-pow_binary64`
245×	`+-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	71	916
1	185	891
2	521	848
3	2162	846
4	3021	844
5	3837	835
6	5141	835
7	6631	826
8	7551	821
9	7979	821

Stop Event

1×	node limit

Counts

137 → 112

Calls

Call 1

Inputs
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)

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

localize12.0ms (0.2%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
✓	0.3b	(*.f64 (PI.f64) u2)
✓	0.3b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 46 to 26 computations (43.5% saved)

series6.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
575×	`prod-diff_binary64`
350×	`pow2_binary64`
246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	284	40
2	3209	40

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

Inputs
(*.f64 (log.f64 u1) -1/18)
(*.f64 (PI.f64) u2)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (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 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 2/3)))) (#(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 pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 4)))) (#(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))))))
((#(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) 2) 1/2)))) (#(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 (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)) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/6) (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 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(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 (.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3) 1/6)))) (#(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 (.f64 (log.f64 u1) -1/18)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/6) 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 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 (.f64 (log.f64 u1) -1/18)) 1/2))))) (#(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 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)))))))) (#(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 (PI.f64) (.f64 u2 2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 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 (PI.f64) (.f64 u2 2))) 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 (PI.f64) (.f64 u2 2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 3) 1/8) (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 2) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 2) 1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (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 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) 1/2)) 1))))))

simplify152.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
382×	`associate-r_binary64`
353×	`associate-l_binary64`
302×	`sqr-pow_binary64`
248×	`+-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	72	984
1	187	959
2	523	932
3	2160	930
4	3016	928
5	3831	919
6	5127	919
7	6616	910
8	7537	905
9	7965	905

Stop Event

1×	node limit

Counts

157 → 117

Calls

Call 1

Inputs
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
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(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)

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

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 80 to 56 computations (30% saved)

series55.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	u1	@	-inf	(log.f64 (*.f64 (log.f64 u1) -1/18))
14.0ms	u1	@	inf	(log.f64 (*.f64 (log.f64 u1) -1/18))
14.0ms	u1	@	0	(log.f64 (*.f64 (log.f64 u1) -1/18))
1.0ms	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))

rewrite89.0ms (1.1%)

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))))))))

simplify179.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

644×	`unsub-neg_binary64`
617×	`fma-neg_binary64`
606×	`associate--r-_binary64`
435×	`distribute-rgt-in_binary64`
387×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	224
1	58	224
2	86	224
3	143	224
4	286	224
5	667	224
6	1979	224
7	3777	224
8	4191	224
9	4252	224
10	4272	224
11	4274	224
12	6487	224
13	6856	224
14	7259	224
15	7728	224
16	7901	224
17	7961	224

Stop Event

1×	node limit

Counts

74 → 57

Calls

Call 1

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

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

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
✓	0.5b	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))

Compiler

Compiled 86 to 62 computations (27.9% saved)

series63.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	u1	@	0	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
15.0ms	u1	@	-inf	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
8.0ms	u1	@	inf	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
0.0ms	u1	@	inf	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6)
0.0ms	u1	@	0	(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))

rewrite103.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	206	28
2	2251	28

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

758×	`unsub-neg_binary64`
655×	`fma-neg_binary64`
555×	`fma-def_binary64`
482×	`distribute-rgt-in_binary64`
388×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	476
1	89	476
2	165	452
3	416	452
4	1233	452
5	4695	452

Stop Event

1×	node limit

Counts

90 → 67

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))

eval271.0ms (3.3%)

Compiler: Compiled 8774 to 6538 computations (25.5% saved)

prune70.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	432	4	436
Fresh	2	3	5
Picked	0	1	1
Done	2	4	6
Total	436	12	448

Error

Counts

448 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.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)
	0.3b	(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	64.0b	(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
	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 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 212 to 189 computations (10.8% saved)

regimes301.0ms (3.7%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

11 calls:

65.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
43.0ms	(log.f64 u1)
19.0ms	(+.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)
19.0ms	u2
18.0ms	(*.f64 -2 (log.f64 u1))

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 662 to 522 computations (21.1% saved)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	u2
3.0ms	(log.f64 u1)
3.0ms	u1

Results

Error	Segments	Branch
64.0b	1	`u1`
64.0b	1	`u2`
64.0b	1	`(log.f64 u1)`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	26	36

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

soundness0.0ms (0%)

end22.0ms (0.3%)

Compiler: Compiled 24 to 20 computations (16.7% saved)

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	380

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	380

Details

analyze90.0ms (1.1%)

sample2.3s (28.4%)

preprocess147.0ms (1.8%)

simplify116.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize41.0ms (0.5%)

series70.0ms (0.9%)

rewrite93.0ms (1.1%)

simplify105.0ms (1.3%)

eval66.0ms (0.8%)

prune28.0ms (0.3%)

localize45.0ms (0.6%)

series22.0ms (0.3%)

rewrite62.0ms (0.8%)

simplify35.0ms (0.4%)

localize16.0ms (0.2%)

localize33.0ms (0.4%)

series8.0ms (0.1%)

rewrite60.0ms (0.7%)

simplify130.0ms (1.6%)

localize57.0ms (0.7%)

series88.0ms (1.1%)

rewrite66.0ms (0.8%)

simplify67.0ms (0.8%)

localize56.0ms (0.7%)

series13.0ms (0.2%)

rewrite91.0ms (1.1%)

simplify197.0ms (2.4%)

eval139.0ms (1.7%)

prune61.0ms (0.7%)

localize31.0ms (0.4%)

series8.0ms (0.1%)

rewrite79.0ms (1%)

simplify148.0ms (1.8%)

localize31.0ms (0.4%)

series5.0ms (0.1%)

rewrite80.0ms (1%)

simplify102.0ms (1.3%)

localize33.0ms (0.4%)

series10.0ms (0.1%)

rewrite79.0ms (1%)

simplify113.0ms (1.4%)

localize54.0ms (0.7%)

series169.0ms (2.1%)

rewrite83.0ms (1%)

simplify279.0ms (3.4%)

localize48.0ms (0.6%)

series12.0ms (0.1%)

rewrite62.0ms (0.8%)

simplify227.0ms (2.8%)

eval258.0ms (3.2%)

prune85.0ms (1%)

localize29.0ms (0.4%)

series4.0ms (0%)

rewrite75.0ms (0.9%)

simplify148.0ms (1.8%)

localize12.0ms (0.2%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

rewrite71.0ms (0.9%)

simplify152.0ms (1.9%)

localize43.0ms (0.5%)

series55.0ms (0.7%)

rewrite89.0ms (1.1%)

simplify179.0ms (2.2%)

localize46.0ms (0.6%)

series63.0ms (0.8%)

rewrite103.0ms (1.3%)

simplify58.0ms (0.7%)

eval271.0ms (3.3%)

prune70.0ms (0.9%)

regimes301.0ms (3.7%)

regimes13.0ms (0.2%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end22.0ms (0.3%)

Profiling

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	380