Details

analyze73.0ms (1.8%)

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 (45.1%)

Results

1.8s

8256×

body

128

valid

preprocess78.0ms (1.9%)

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)

simplify51.0ms (1.2%)

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)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.4b

Counts

3 → 2

Alt Table

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

Status

Error

Program

0.4b

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

▶

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 112 to 98 computations (12.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 (.f64 2 (.f64 (PI.f64) u2)))
✓	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.3b	(*.f64 (PI.f64) u2)
✓	0.4b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

series75.0ms (1.8%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	u1	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
23.0ms	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)

rewrite66.0ms (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	47
1	324	47
2	3617	47

Stop Event

1×	node limit

Counts

4 → 104

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)))
(cos.f64 (.f64 2 (.f64 (PI.f64) u2)))

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

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-lft-out_binary64`
377×	`fma-def_binary64`
358×	`associate-l_binary64`
323×	`associate-r_binary64`
240×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1086
1	208	1038
2	569	1006
3	2287	956
4	3428	956

Stop Event

1×	node limit

Counts

160 → 130

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))))
1
(+.f64 1 (.f64 -2 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (+.f64 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (.f64 -2 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (+.f64 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -2 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (.f64 -4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))
(cos.f64 (.f64 2 (.f64 u2 (PI.f64))))

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

prune289.0ms (7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	121	9	130
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	123	9	132

Error

0.0b

Counts

132 → 9

Alt Table

Status	Error	Program
	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)
▶	0.3b	(fma.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	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)))
	0.6b	(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)))
	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))
	0.8b	(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)
	0.4b	(/.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))
	0.6b	(/.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))))
	0.7b	(.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)))

Compiler

Compiled 3964 to 2729 computations (31.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.2%)

Counts

3 → 40

Calls

12 calls:

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

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
170×	`add-sqr-sqrt_binary64`
163×	`pow1_binary64`
161×	`*-un-lft-identity_binary64`
159×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	349	37
2	4023	37

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Inputs

(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

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

(sqrt.f64 (neg.f64 (log.f64 u1)))

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

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

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

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

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-lft-out_binary64`
394×	`associate-l_binary64`
388×	`associate-r_binary64`
240×	`unswap-sqr_binary64`
213×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	990
1	175	944
2	486	904
3	2229	878
4	3353	878
5	4896	878

Stop Event

1×	node limit

Counts

104 → 82

Calls

Call 1

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

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

prune100.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Error

0.0b

Counts

107 → 8

Alt Table

Status	Error	Program
	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)
	0.5b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 u2 (pow.f64 (PI.f64) 2)) (.f64 u2 -1/3)) (+.f64 1/6 (.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))))
▶	0.4b	(fma.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
	0.6b	(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)))
	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))
	0.6b	(/.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))))
	0.7b	(.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)))

Compiler

Compiled 2610 to 1889 computations (27.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	0.3b	(*.f64 u2 (PI.f64))
✓	0.4b	(fma.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
✓	0.5b	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))

series11.0ms (0.3%)

Counts

3 → 36

Calls

15 calls:

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

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
170×	`add-sqr-sqrt_binary64`
163×	`pow1_binary64`
162×	`*-un-lft-identity_binary64`
159×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	349	51
2	4037	51

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs

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

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

(*.f64 u2 (PI.f64))

Outputs

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

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

((#(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 expm1.f64 (log1p.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))))))

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

742×	`distribute-lft-out_binary64`
557×	`associate-l_binary64`
490×	`associate-r_binary64`
375×	`fma-def_binary64`
240×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1192
1	236	1146
2	678	1080
3	2976	1038
4	4257	1038

Stop Event

1×	node limit

Counts

87 → 73

Calls

Call 1

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

prune93.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Error

0.0b

Counts

109 → 8

Alt Table

Status	Error	Program
	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)
	0.5b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 u2 (pow.f64 (PI.f64) 2)) (.f64 u2 -1/3)) (+.f64 1/6 (.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))))
✓	0.4b	(fma.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
	0.6b	(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)))
	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))
	0.6b	(/.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))))
	0.7b	(.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)))

Compiler

Compiled 2784 to 1951 computations (29.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series23.0ms (0.6%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	0	(/.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))
2.0ms	u1	@	0	(.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)))))))
2.0ms	u2	@	0	(.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)))))))
2.0ms	u1	@	-inf	(/.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))
1.0ms	u1	@	inf	(/.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))

rewrite44.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

223×	`add-sqr-sqrt_binary64`
212×	`*-un-lft-identity_binary64`
212×	`pow1_binary64`
209×	`add-exp-log_binary64`
209×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	112
1	458	79

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

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

Outputs
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((#(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 (.f64 -2 (log.f64 u1)) (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) 1/36)) (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) -1/2)) (neg.f64 (/.f64 1/4 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 -2 (log.f64 u1)) (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) 1/36)) (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) -1/2)) (/.f64 1/4 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) -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 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simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-def_binary64`
351×	`associate-/l*_binary64`
338×	`times-frac_binary64`
231×	`distribute-rgt-in_binary64`
224×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	4216
1	497	3752
2	1725	3665

Stop Event

1×	node limit

Counts

165 → 123

Calls

Call 1

Inputs
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2))
(+.f64 (.f64 1/36 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)) (.f64 -1/9 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/36 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)) (+.f64 (.f64 1/36 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4)))))) (.f64 -1/9 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 1/36 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)) (+.f64 (.f64 1/36 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 u2 6)))) (+.f64 (.f64 1/36 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4)))))) (.f64 -1/9 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (PI.f64) 2)))))))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/4) (-.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/4) (-.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/4) (-.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/4) (-.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.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)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.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)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.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)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.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)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)) 1/4) (-.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2))
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(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.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)))))
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(.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 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
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(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
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(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))

Outputs
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(.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (.f64 1/36 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (log.f64 u1) (neg.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/18)
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (.f64 1/36 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (log.f64 u1) (neg.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/18)
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
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(.f64 (.f64 (log.f64 u1) (neg.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/18)
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (.f64 1/36 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (log.f64 u1) (neg.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/18)
(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
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(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
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(.f64 1/36 (.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
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(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (fma.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)) -1/4) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) -1/2))
(/.f64 (fma.f64 (.f64 1/36 (.f64 -2 (log.f64 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) -1/4) (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2))
(/.f64 (fma.f64 (neg.f64 (.f64 1/18 (log.f64 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6) -1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (fma.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)) -1/4) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) -1/2))
(/.f64 (fma.f64 (.f64 1/36 (.f64 -2 (log.f64 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) -1/4) (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2))
(/.f64 (fma.f64 (neg.f64 (.f64 1/18 (log.f64 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6) -1/2))
(/.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/4) (-.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(/.f64 (fma.f64 1/36 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)) -1/4) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) -1/2))
(/.f64 (fma.f64 (.f64 1/36 (.f64 -2 (log.f64 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) -1/4) (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2))
(/.f64 (fma.f64 (neg.f64 (.f64 1/18 (log.f64 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6) -1/2))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (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 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 2)))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 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 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 2)))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 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 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 2)))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 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 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 2)))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.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 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6))
(.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 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6))
(.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 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6))
(.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 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(+.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)))))
(fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 -1/3 (.f64 u2 u2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2)) -1/3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (+.f64 1/6 (.f64 (.f64 (*.f64 u2 u2) -1/3) (pow.f64 (PI.f64) 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))))))
(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))))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 (fma.f64 -1/3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 u2))) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)) (*.f64 (pow.f64 (PI.f64) 4) 1/9))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (+.f64 (.f64 (.f64 (.f64 u2 u2) -1/3) (pow.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 u2 4) 1/9) (pow.f64 (PI.f64) 4)))))
(+.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)))))))
(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)))))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 (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 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (+.f64 (.f64 (.f64 (.f64 u2 u2) -1/3) (pow.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 u2 4) 1/9) (pow.f64 (PI.f64) 4)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (+.f64 (.f64 (*.f64 (pow.f64 u2 6) -2/135) (pow.f64 (PI.f64) 6)) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))

prune484.0ms (11.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	211	2	213
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	212	9	221

Error

0.0b

Counts

221 → 9

Alt Table

Status	Error	Program
	0.7b	(.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)))
	0.9b	(/.f64 (fma.f64 1/36 (.f64 -2 (log.f64 u1)) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6 -1/2))
	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)
	0.5b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 u2 (pow.f64 (PI.f64) 2)) (.f64 u2 -1/3)) (+.f64 1/6 (.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))))
✓	0.4b	(fma.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
	0.6b	(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)))
	0.5b	(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))
✓	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))
	0.6b	(/.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))))

Compiler

Compiled 11593 to 8887 computations (23.3% saved)

regimes277.0ms (6.7%)

Accuracy

Total -1.6b remaining (-460.2%)

Threshold costs -1.6b (-460.2%)

Counts

45 → 1

Compiler

Compiled 1069 to 805 computations (24.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	25	28
2	27	28
3	28	28

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(fma.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

end160.0ms (3.9%)

Stop Event

1×

fuel

Compiler

Compiled 303 to 231 computations (23.8% saved)

Details

analyze73.0ms (1.8%)

sample1.9s (45.1%)

preprocess78.0ms (1.9%)

simplify51.0ms (1.2%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

series75.0ms (1.8%)

rewrite66.0ms (1.6%)

simplify57.0ms (1.4%)

prune289.0ms (7%)

localize14.0ms (0.3%)

series7.0ms (0.2%)

rewrite59.0ms (1.4%)

simplify65.0ms (1.6%)

prune100.0ms (2.4%)

localize13.0ms (0.3%)

series11.0ms (0.3%)

rewrite53.0ms (1.3%)

simplify58.0ms (1.4%)

prune93.0ms (2.3%)

localize15.0ms (0.4%)

series23.0ms (0.6%)

rewrite44.0ms (1.1%)

simplify77.0ms (1.9%)

prune484.0ms (11.8%)

regimes277.0ms (6.7%)

simplify2.0ms (0.1%)

end160.0ms (3.9%)

Profiling