Details

analyze95.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample1.8s (30.9%)

Results

1.8s

8256×

body

128

valid

Compiler

Compiled 72 to 60 computations (16.7% saved)

preprocess75.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	48
1	59	48
2	110	48
3	207	48
4	495	48
5	1512	48
6	2056	48
7	2701	48
8	2820	48
9	2994	48
10	3213	48
11	3545	48
12	4005	48
13	4604	48
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify51.0ms (0.9%)

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)

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

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)

Compiler

Compiled 78 to 68 computations (12.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series265.0ms (4.5%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
67.0ms	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)
54.0ms	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)
35.0ms	u1	@	0	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
25.0ms	u1	@	-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)
13.0ms	u1	@	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)

rewrite68.0ms (1.1%)

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 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 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 -.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 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 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 -.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 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 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 -.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 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))))) (#(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 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)))))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

726×	`unswap-sqr_binary64`
433×	`fma-neg_binary64`
309×	`distribute-rgt-neg-in_binary64`
298×	`distribute-lft-neg-in_binary64`
285×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	1098
1	193	1050
2	514	1020
3	2142	998
4	4345	998

Stop Event

1×	node limit

Counts

143 → 104

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

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

prune122.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Error

Counts

105 → 8

Alt Table

Status	Error	Program
	0.6b	(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))
	0.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(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)))
	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)
	0.7b	(+.f64 (.f64 (.f64 (/.f64 1 6) (.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	1.2b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(-.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)))

Compiler

Compiled 2870 to 2205 computations (23.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series203.0ms (3.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
53.0ms	u2	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
53.0ms	u2	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
13.0ms	u1	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
12.0ms	u1	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
12.0ms	u1	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite66.0ms (1.1%)

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

726×	`unswap-sqr_binary64`
416×	`fma-neg_binary64`
312×	`distribute-rgt-neg-in_binary64`
303×	`distribute-lft-neg-in_binary64`
266×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	826
1	175	814
2	455	786
3	2044	774
4	4130	774

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

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

prune132.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	114	7	121

Error

Counts

121 → 7

Alt Table

Status	Error	Program
	0.5b	(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))
	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))) (sqrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (.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)

Compiler

Compiled 2595 to 1923 computations (25.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
✓	0.8b	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3)

series211.0ms (3.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	u1	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
52.0ms	u1	@	inf	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
49.0ms	u1	@	0	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
12.0ms	u1	@	-inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3)
10.0ms	u1	@	inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3)

rewrite36.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`pow1_binary64`
563×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	168	21
2	1611	21

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 u1) (*.f64 -1/18 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/18 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (log.f64 u1) 2) 1/324)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 u1) -1/18) (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/5832 (pow.f64 (log.f64 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (*.f64 (pow.f64 (log.f64 u1) 2) 1/324)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (*.f64 (pow.f64 (log.f64 u1) 2) 1/324)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 3) -1/5832)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) 3) (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) (log.f64 u1)) -1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) -1/18) (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1) (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))))))))

((#(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 *.f64 (log.f64 u1) -1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 u1) (pow.f64 -1/5832 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/18 (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) (*.f64 (cbrt.f64 (log.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 (log.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/3) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (cbrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (sqrt.f64 (log.f64 u1))) (sqrt.f64 (log.f64 u1)))))) (#(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 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 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 pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 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 pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))))))

simplify34.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

289×	`associate-+l+_binary64`
287×	`distribute-rgt-in_binary64`
266×	`unsub-neg_binary64`
254×	`distribute-rgt-neg-out_binary64`
249×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	276
1	69	276
2	170	276
3	666	276
4	2437	276
5	4887	276

Stop Event

1×	node limit

Counts

101 → 61

Calls

Call 1

Inputs
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.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 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))

Outputs
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 1/5832 (pow.f64 (log.f64 (/.f64 1 u1)) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 -1/5832 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3))
(*.f64 -1/5832 (pow.f64 (log.f64 u1) 3))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(.f64 -1 (.f64 (log.f64 (/.f64 1 u1)) (cbrt.f64 -1/5832)))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (cbrt.f64 -1/5832))
(*.f64 (log.f64 u1) (cbrt.f64 -1/5832))
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 (log.f64 u1) -1/18)

prune154.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	78	6	84

Error

Counts

84 → 6

Alt Table

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

Compiler

Compiled 1781 to 1385 computations (22.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f64 (pow.f64 u1 -1/18))
✓	0.1b	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	2.7b	(pow.f64 u1 -1/18)

series567.0ms (9.5%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
95.0ms	u1	@	-inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
92.0ms	u1	@	-inf	(log.f64 (pow.f64 u1 -1/18))
90.0ms	u1	@	0	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
88.0ms	u1	@	inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
87.0ms	u1	@	0	(log.f64 (pow.f64 u1 -1/18))

rewrite35.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`pow1_binary64`
478×	`add-log-exp_binary64`
478×	`log1p-expm1-u_binary64`
478×	`expm1-log1p-u_binary64`
466×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	124	18
2	1356	18

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 u1 -1/18)) 2)) (log.f64 (cbrt.f64 (pow.f64 u1 -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 u1) -1/36) (*.f64 (log.f64 u1) -1/36))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/18 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/18 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/18 (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/18 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 u1) -1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 2) (cbrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/18 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1))))))))

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

433×	`fma-def_binary64`
347×	`distribute-rgt-in_binary64`
288×	`distribute-lft-in_binary64`
281×	`associate-l_binary64`
261×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	244
1	33	228
2	61	228
3	152	196
4	414	160
5	1339	160

Stop Event

1×	node limit

Counts

91 → 71

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

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

prune94.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Error

Counts

93 → 6

Alt Table

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

Compiler

Compiled 1691 to 1318 computations (22.1% saved)

regimes1.6s (26.8%)

Accuracy

Total 0.2b remaining (87.5%)

Threshold costs 0.2b (87.5%)

Counts

151 → 1

Compiler

Compiled 30994 to 27232 computations (12.1% 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	17	28
1	22	28

Stop Event

1×

saturated

Calls

Call 1

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

end118.0ms (2%)

Stop Event

1×

fuel

Compiler

Compiled 157 to 139 computations (11.5% saved)

Details

analyze95.0ms (1.6%)

sample1.8s (30.9%)

preprocess75.0ms (1.3%)

simplify51.0ms (0.9%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

series265.0ms (4.5%)

rewrite68.0ms (1.1%)

simplify55.0ms (0.9%)

prune122.0ms (2.1%)

localize11.0ms (0.2%)

series203.0ms (3.4%)

rewrite66.0ms (1.1%)

simplify52.0ms (0.9%)

prune132.0ms (2.2%)

localize14.0ms (0.2%)

series211.0ms (3.6%)

rewrite36.0ms (0.6%)

simplify34.0ms (0.6%)

prune154.0ms (2.6%)

localize11.0ms (0.2%)

series567.0ms (9.5%)

rewrite35.0ms (0.6%)

simplify23.0ms (0.4%)

prune94.0ms (1.6%)

regimes1.6s (26.8%)

simplify2.0ms (0%)

end118.0ms (2%)

Profiling