Details

analyze159.0ms (3.6%)

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
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample1.9s (42.6%)

Results

1.9s

8256×

body

128

valid

Compiler

Compiled 72 to 60 computations (16.7% saved)

preprocess78.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

545×	`*-commutative_binary64`
493×	`associate-l_binary64`
470×	`sqr-pow_binary64`
416×	`unswap-sqr_binary64`
325×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	48
1	59	48
2	110	48
3	207	48
4	495	48
5	1512	48
6	2056	48
7	2701	48
8	2820	48
9	2994	48
10	3213	48
11	3545	48
12	4005	48
13	4604	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)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u2))) (cos.f64 (.f64 2 (.f64 u1 (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)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u2))) (.f64 1/6 (cos.f64 (.f64 u1 (.f64 2 (PI.f64))))) 1/2)

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
500×	`sqr-pow_binary64`
281×	`cube-prod_binary64`
277×	`*-commutative_binary64`
242×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	24
1	38	24
2	65	24
3	114	24
4	255	24
5	739	24
6	1007	24
7	1337	24
8	2621	24
9	2723	24
10	2884	24
11	3093	24
12	3400	24
13	3828	24
14	4392	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)

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 70 to 60 computations (14.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series75.0ms (1.7%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	u1	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
24.0ms	u1	@	-inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
12.0ms	u2	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
7.0ms	u1	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
2.0ms	u2	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
276×	`log1p-udef_binary64`
158×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	324	37
2	3617	37

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

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

Outputs

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

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

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

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

482×	`unswap-sqr_binary64`
447×	`*-commutative_binary64`
265×	`fma-def_binary64`
256×	`associate-+l+_binary64`
241×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	912
1	169	866
2	436	836
3	1618	786
4	2709	786
5	3886	786

Stop Event

1×	node limit

Counts

107 → 81

Calls

Call 1

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

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

prune105.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Error

0.0b

Counts

82 → 10

Alt Table

Status	Error	Program
	0.5b	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))
▶	0.3b	(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
	0.5b	(fma.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.9b	(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3) 1/3)
	0.5b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.6b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
	0.5b	(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))))
	1.3b	(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)) 2))

Compiler

Compiled 2273 to 1750 computations (23% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
✓	0.3b	(*.f64 u2 (PI.f64))
✓	0.3b	(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.4b	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))

series56.0ms (1.3%)

Counts

4 → 32

Calls

18 calls:

Time	Variable		Point	Expression
37.0ms	u2	@	inf	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
9.0ms	u1	@	-inf	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
2.0ms	u2	@	0	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	0	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u2	@	0	(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
167×	`add-sqr-sqrt_binary64`
160×	`*-un-lft-identity_binary64`
160×	`pow1_binary64`
154×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	346	63
2	3996	63

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

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

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

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

990×	`distribute-lft-out_binary64`
517×	`associate-r_binary64`
444×	`associate-l_binary64`
327×	`fma-def_binary64`
240×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	980
1	184	928
2	559	865
3	2784	847
4	4021	845

Stop Event

1×	node limit

Counts

98 → 93

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (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 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(fma.f64 -2 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 -2 (.f64 (.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (+.f64 (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2))) 1) (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (+.f64 1 (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 2)))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(fma.f64 -2 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -2 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (fma.f64 (.f64 (sqrt.f64 2) 2/3) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1 (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (+.f64 1 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (.f64 -2 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(fma.f64 -2 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))) (fma.f64 -4/45 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1)))))))))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 -4/45 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 -2 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))) (.f64 (+.f64 (.f64 -2 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) 1) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (.f64 -4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -2 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (.f64 2/3 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.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 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) -1/3))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) 1/6) (.f64 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))) -1/3)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 1/6 (.f64 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 1/6 (.f64 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2))) -1/3))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (fma.f64 -1/3 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/9)))
(fma.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))) -1/3) (.f64 (.f64 1/9 (sqrt.f64 2)) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3))) (.f64 (sqrt.f64 2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (+.f64 1/6 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3)) (.f64 (*.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (+.f64 (+.f64 1/6 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) -1/3)) (.f64 (*.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4))))
(+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(fma.f64 -2/135 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (fma.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (fma.f64 -1/3 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/9))))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))) -1/3) (.f64 (.f64 1/9 (sqrt.f64 2)) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) -2/135) (*.f64 (sqrt.f64 2) 1/6))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 -2/135 (pow.f64 (PI.f64) 6)) (pow.f64 u2 6)) 1/6))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (+.f64 1/6 (.f64 (.f64 -2/135 (pow.f64 (PI.f64) 6)) (pow.f64 u2 6))) (+.f64 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3) (.f64 (*.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (+.f64 1/6 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) -1/3)) (+.f64 (.f64 (.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) -2/135)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.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)))

prune139.0ms (3.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Error

Counts

103 → 7

Alt Table

Status	Error	Program
	0.6b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)
	0.5b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)))
	0.5b	(+.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)))) 1))
	0.5b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
▶	0.2b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Compiler

Compiled 2511 to 1881 computations (25.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))
✓	0.1b	(sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36))
	0.3b	(*.f64 u2 (PI.f64))
✓	0.4b	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)

series13.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`prod-diff_binary64`
188×	`add-sqr-sqrt_binary64`
182×	`pow1_binary64`
180×	`*-un-lft-identity_binary64`
179×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	389	68
2	4773	68

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(*.f64 (*.f64 (neg.f64 (log.f64 u1)) (*.f64 2 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)

(sqrt.f64 (*.f64 (*.f64 (neg.f64 (log.f64 u1)) (*.f64 2 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36))

(+.f64 1/2 (sqrt.f64 (*.f64 (*.f64 (neg.f64 (log.f64 u1)) (*.f64 2 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4) (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 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(PI.f64))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))) (/.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 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simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary64`
590×	`associate-r_binary64`
349×	`fma-def_binary64`
234×	`*-commutative_binary64`
181×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	2389
1	296	2347
2	965	2294

Stop Event

1×	node limit

Counts

149 → 116

Calls

Call 1

Inputs
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(*.f64 -1/18 (log.f64 u1))
(+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 2/9 (.f64 (pow.f64 u2 2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)))))
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(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
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(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (pow.f64 (PI.f64) 2))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2)))) (pow.f64 u2 6)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
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(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (pow.f64 (PI.f64) 2))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2)))) (pow.f64 u2 6)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)

Outputs
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
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(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
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(*.f64 -1/18 (log.f64 u1))
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(fma.f64 -1/18 (log.f64 u1) (.f64 2/9 (.f64 (.f64 u2 u2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)))))
(fma.f64 -1/18 (log.f64 u1) (.f64 2/9 (.f64 (log.f64 u1) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))))
(.f64 (log.f64 u1) (+.f64 -1/18 (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 (.f64 u2 2/9)))))
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(fma.f64 -1/18 (log.f64 u1) (fma.f64 -1/18 (.f64 (.f64 (pow.f64 u2 4) (log.f64 u1)) (.f64 (pow.f64 (PI.f64) 4) 16/3)) (.f64 2/9 (.f64 (.f64 u2 u2) (*.f64 (log.f64 u1) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/18 (log.f64 u1) (fma.f64 (.f64 2/9 (.f64 u2 u2)) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (*.f64 16/3 (log.f64 u1)))))))
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(fma.f64 -1/18 (log.f64 u1) (fma.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (fma.f64 -1/18 (.f64 (pow.f64 (PI.f64) 6) (.f64 -128/45 (.f64 (log.f64 u1) (pow.f64 u2 6)))) (.f64 2/9 (.f64 (log.f64 u1) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 (log.f64 u1) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 (.f64 u2 2/9))) (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) -8/27)))) (.f64 (log.f64 u1) (+.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) 64/405)) -1/18)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
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(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
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(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(+.f64 1/2 (+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 1/2 (/.f64 (pow.f64 u2 4) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)))))))
(+.f64 1/2 (fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (fma.f64 1/2 (.f64 (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)) (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (pow.f64 (PI.f64) 2))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2)))) (pow.f64 u2 6)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))
(+.f64 1/2 (+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 u2 4) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)))) (/.f64 (+.f64 (.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 6) -128/45)) (log.f64 u1)) (.f64 -1/9 (/.f64 (log.f64 u1) (/.f64 (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2) (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))))))) (/.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (pow.f64 u2 6)))))))
(+.f64 1/2 (fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2))) (/.f64 (fma.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 6) -128/45)) (.f64 (/.f64 (log.f64 u1) (/.f64 (/.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (PI.f64) 2)) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2)))) -1/9)) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (pow.f64 u2 6)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))
(+.f64 (fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)) (.f64 (/.f64 (pow.f64 u2 6) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (fma.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 6) 64/405) (.f64 2 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)))) (log.f64 u1)))))) 1/2))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)

prune130.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Error

Counts

138 → 7

Alt Table

Status	Error	Program
	0.5b	(+.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)))) 1))
	0.5b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.6b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
✓	0.2b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))
▶	0.3b	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)

Compiler

Compiled 3935 to 2878 computations (26.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
✓	0.2b	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	0.3b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
✓	0.3b	(.f64 u2 (.f64 2 (PI.f64)))

series9.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

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

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`prod-diff_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`
156×	`add-sqr-sqrt_binary64`
149×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	324	42
2	3662	42

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

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

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

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
371×	`unswap-sqr_binary64`
367×	`associate-l_binary64`
322×	`associate-r_binary64`
190×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	976
1	165	974
2	443	953
3	1903	927
4	2849	923
5	3999	923
6	4865	923

Stop Event

1×	node limit

Counts

131 → 100

Calls

Call 1

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

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

prune75.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Error

Counts

107 → 7

Alt Table

Status	Error	Program
	0.5b	(+.f64 1/2 (-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)))) 1))
	0.5b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.6b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
✓	0.2b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))
✓	0.3b	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)

Compiler

Compiled 2085 to 1499 computations (28.1% saved)

regimes930.0ms (21%)

Accuracy

Total 0.3b remaining (94.2%)

Threshold costs 0.3b (94.2%)

Counts

137 → 1

Compiler

Compiled 2822 to 2032 computations (28% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
5×	`+-commutative_binary64`
4×	`distribute-lft-neg-in_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	30	26
2	46	26
3	53	26
4	57	26
5	58	26

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end154.0ms (3.5%)

Stop Event

1×

fuel

Compiler

Compiled 207 to 181 computations (12.6% saved)

Details

analyze159.0ms (3.6%)

sample1.9s (42.6%)

preprocess78.0ms (1.8%)

simplify58.0ms (1.3%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

series75.0ms (1.7%)

rewrite69.0ms (1.6%)

simplify55.0ms (1.2%)

prune105.0ms (2.4%)

localize14.0ms (0.3%)

series56.0ms (1.3%)

rewrite68.0ms (1.5%)

simplify51.0ms (1.2%)

prune139.0ms (3.1%)

localize14.0ms (0.3%)

series13.0ms (0.3%)

rewrite68.0ms (1.5%)

simplify57.0ms (1.3%)

prune130.0ms (2.9%)

localize11.0ms (0.3%)

series9.0ms (0.2%)

rewrite60.0ms (1.4%)

simplify76.0ms (1.7%)

prune75.0ms (1.7%)

regimes930.0ms (21%)

simplify3.0ms (0.1%)

end154.0ms (3.5%)

Profiling