Details

analyze72.0ms (1.7%)

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 (43.7%)

Results

1.9s

8256×

body

128

valid

preprocess74.0ms (1.7%)

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)

simplify53.0ms (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)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series75.0ms (1.7%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
18.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
17.0ms	u2	@	inf	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
8.0ms	u1	@	inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
2.0ms	u2	@	0	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite66.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`prod-diff_binary64`
188×	`add-sqr-sqrt_binary64`
177×	`pow1_binary64`
176×	`*-un-lft-identity_binary64`
176×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	395	51
2	4433	51

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

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

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg_binary64`
482×	`unswap-sqr_binary64`
436×	`*-commutative_binary64`
266×	`fma-def_binary64`
245×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1092
1	174	1050
2	442	1020
3	1612	1002
4	2682	1002
5	3860	1002
6	4981	1002

Stop Event

1×	node limit

Counts

143 → 105

Calls

Call 1

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

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

prune139.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	98	9	107

Error

Counts

107 → 9

Alt Table

Status	Error	Program
	0.5b	(/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2))
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.8b	(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 2)))
	0.5b	(exp.f64 (log.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))
	0.7b	(+.f64 (.f64 (.f64 (/.f64 1 6) (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)

Compiler

Compiled 2923 to 2255 computations (22.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

series7.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

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

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`prod-diff_binary64`
170×	`add-sqr-sqrt_binary64`
162×	`*-un-lft-identity_binary64`
162×	`pow1_binary64`
160×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	353	35
2	4076	35

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (sqrt.f64 (.f64 (log.f64 u1) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (pow.f64 (.f64 (log.f64 u1) 1/36) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))) (sqrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1/36 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2)) 1/2) (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 u1) -1/18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (/.f64 1 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))) (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2) (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (+.f64 1/4 (-.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))) (neg.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 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(.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))))))

Outputs

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

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

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

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-neg_binary64`
480×	`unswap-sqr_binary64`
409×	`*-commutative_binary64`
223×	`associate-l_binary64`
200×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	850
1	151	808
2	393	786
3	1466	776
4	2398	769
5	3601	769
6	4754	769

Stop Event

1×	node limit

Counts

125 → 97

Calls

Call 1

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

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

prune140.0ms (3.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Error

Counts

123 → 6

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
	0.8b	(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 2)))
▶	0.2b	(+.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))
	0.4b	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)

Compiler

Compiled 2630 to 1942 computations (26.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	1.0b	(exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`pow1_binary64`
518×	`add-log-exp_binary64`
518×	`log1p-expm1-u_binary64`
518×	`expm1-log1p-u_binary64`
506×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	134	24
2	1463	24

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

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

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

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-neg_binary64`
442×	`distribute-rgt-in_binary64`
440×	`unswap-sqr_binary64`
244×	`distribute-lft-in_binary64`
234×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	320
1	47	320
2	78	320
3	143	320
4	291	320
5	703	320
6	2166	320
7	4568	320

Stop Event

1×	node limit

Counts

93 → 68

Calls

Call 1

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

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

prune95.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Error

Counts

91 → 5

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))
	0.8b	(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 2)))
▶	0.2b	(+.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 1897 to 1490 computations (21.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	1.0b	(exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))
✓	2.6b	(pow.f64 u1 -1/18)

series69.0ms (1.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	u1	@	0	(exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))
15.0ms	u1	@	-inf	(exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))
13.0ms	u1	@	inf	(exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))
0.0ms	u1	@	0	(pow.f64 u1 -1/18)
0.0ms	u1	@	-inf	(pow.f64 u1 -1/18)

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`pow1_binary64`
741×	`expm1-log1p-u_binary64`
740×	`log1p-expm1-u_binary64`
90×	`add-sqr-sqrt_binary64`
86×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	186	22
2	2150	22

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(pow.f64 u1 -1/18)
(exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))
(sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1)))

Outputs

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

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

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

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-def_binary64`
301×	`unswap-sqr_binary64`
197×	`times-frac_binary64`
190×	`exp-sum_binary64`
176×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	300
1	53	300
2	103	300
3	212	300
4	565	264
5	1909	264

Stop Event

1×	node limit

Counts

104 → 79

Calls

Call 1

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

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

prune114.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Error

Counts

101 → 5

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))
	0.8b	(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 2)))
✓	0.2b	(+.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 2152 to 1751 computations (18.6% saved)

regimes943.0ms (22%)

Accuracy

Total 0.2b remaining (91.1%)

Threshold costs 0.2b (91.1%)

Counts

165 → 1

Compiler

Compiled 3399 to 2567 computations (24.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	24	32

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Outputs
(+.f64 (.f64 (log.f64 (exp.f64 (sqrt.f64 (sqrt.f64 (.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

end126.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 166 to 142 computations (14.5% saved)

Details

analyze72.0ms (1.7%)

sample1.9s (43.7%)

preprocess74.0ms (1.7%)

simplify53.0ms (1.2%)

prune4.0ms (0.1%)

localize14.0ms (0.3%)

series75.0ms (1.7%)

rewrite66.0ms (1.6%)

simplify77.0ms (1.8%)

prune139.0ms (3.3%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite66.0ms (1.5%)

simplify65.0ms (1.5%)

prune140.0ms (3.3%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite40.0ms (0.9%)

simplify40.0ms (0.9%)

prune95.0ms (2.2%)

localize16.0ms (0.4%)

series69.0ms (1.6%)

rewrite58.0ms (1.4%)

simplify29.0ms (0.7%)

prune114.0ms (2.7%)

regimes943.0ms (22%)

simplify2.0ms (0%)

end126.0ms (2.9%)

Profiling