Details

analyze85.0ms (1.9%)

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 (40.6%)

Results

1.8s

8256×

body

128

valid

Compiler

Compiled 72 to 60 computations (16.7% saved)

preprocess79.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 70 to 60 computations (14.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series74.0ms (1.6%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	u1	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
22.0ms	u1	@	-inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
12.0ms	u2	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
7.0ms	u1	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
2.0ms	u2	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	324	47
2	3617	47

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

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

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-neg_binary64`
479×	`distribute-rgt-neg-in_binary64`
467×	`distribute-lft-neg-in_binary64`
401×	`associate-r_binary64`
394×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	952
1	237	900
2	673	846
3	3032	828

Stop Event

1×	node limit

Counts

140 → 129

Calls

Call 1

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

Outputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
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(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
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(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
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(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (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 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (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 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (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 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (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 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(-.f64 (+.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 1/2 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/3 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(+.f64 1/2 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 -1/3 (.f64 (.f64 u2 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 1/3 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (+.f64 1/6 (.f64 (.f64 u2 (*.f64 u2 (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 (.f64 1/9 (pow.f64 u2 4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4))))) (.f64 -1/3 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.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)) (.f64 (.f64 -1/3 (.f64 (.f64 u2 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 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (.f64 1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2)))))))
(+.f64 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 (pow.f64 u2 4) (.f64 1/9 (pow.f64 (PI.f64) 4)) (.f64 (.f64 u2 (*.f64 u2 (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 (.f64 1/9 (pow.f64 u2 4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4)))) (fma.f64 1/3 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (.f64 2/135 (pow.f64 u2 6)) (.f64 (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 1/3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (.f64 2/135 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(+.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) 1/6))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (-.f64 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) -1/3) (.f64 2/135 (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(+.f64 1/2 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (+.f64 1/6 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) -1/3 (.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))))))
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(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
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(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
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(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
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(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
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(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (+.f64 0 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (+.f64 0 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (+.f64 0 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (+.f64 0 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
1
(-.f64 1 (.f64 2 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2))))
(fma.f64 -2 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) 1)
(-.f64 (+.f64 1 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (.f64 2 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (.f64 2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)))))
(+.f64 (fma.f64 (.f64 (pow.f64 u2 4) 2/3) (pow.f64 (PI.f64) 4) 1) (.f64 -2 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))))
(fma.f64 -2 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 u2 4) (*.f64 (pow.f64 (PI.f64) 4) 2/3) 1))
(-.f64 (+.f64 1 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 2 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (.f64 4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))))
(-.f64 (+.f64 1 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (fma.f64 2 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (.f64 4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))))
(-.f64 (fma.f64 (.f64 (pow.f64 u2 4) 2/3) (pow.f64 (PI.f64) 4) 1) (fma.f64 2 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) 4/45))))
(+.f64 (fma.f64 -2 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) 2/3) 1)) (.f64 (*.f64 -4/45 (pow.f64 (PI.f64) 6)) (pow.f64 u2 6)))
(-.f64 (fma.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) 2/3) 1) (fma.f64 (pow.f64 u2 6) (.f64 (pow.f64 (PI.f64) 6) 4/45) (.f64 2 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2))))))

prune181.0ms (4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	10	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Error

0.0b

Counts

130 → 10

Alt Table

Status	Error	Program
	0.6b	(fma.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.5b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
	0.4b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) 2)) (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) 2))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 (PI.f64) u2)) 2)) (neg.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) u2)) 2))) (fma.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) u2))) (sin.f64 (.f64 (PI.f64) u2)) (pow.f64 (sin.f64 (.f64 (PI.f64) u2)) 2)))) 1/2)
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.6b	(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))))
	0.7b	(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2))) 1)
	0.5b	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))
▶	0.3b	(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
	0.7b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)
	0.9b	(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3) 1/3)

Compiler

Compiled 4064 to 2789 computations (31.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series60.0ms (1.3%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)))
8.0ms	u1	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)))
2.0ms	u1	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)))
2.0ms	u2	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)))
1.0ms	u2	@	0	(.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	346	63
2	4000	63

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

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

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

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-neg_binary64`
641×	`associate-l_binary64`
479×	`distribute-lft-neg-in_binary64`
467×	`distribute-rgt-neg-in_binary64`
278×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1664
1	249	1614
2	847	1553
3	2953	1543

Stop Event

1×	node limit

Counts

134 → 96

Calls

Call 1

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

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

prune195.0ms (4.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	7	2	9
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Error

0.0b

Counts

106 → 7

Alt Table

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

Compiler

Compiled 2604 to 1920 computations (26.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series19.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Expression
5.0ms	u1	@	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))
2.0ms	u2	@	(sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36))
2.0ms	u2	@	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))
1.0ms	u1	@	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)
1.0ms	u2	@	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)

rewrite71.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))))))) (#(struct:change #<rule egg-rr> (2) 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simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

982×	`times-frac_binary64`
563×	`associate-/l*_binary64`
388×	`associate-/r*_binary64`
254×	`fma-def_binary64`
170×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	2276
1	410	2258
2	1318	2244

Stop Event

1×	node limit

Counts

149 → 113

Calls

Call 1

Inputs
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(*.f64 -1/18 (log.f64 u1))
(-.f64 (.f64 2/9 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (.f64 1/18 (log.f64 u1)))
(-.f64 (.f64 2/9 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 u2 2)))) (+.f64 (.f64 1/18 (log.f64 u1)) (.f64 8/27 (.f64 (log.f64 u1) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4))))))
(-.f64 (+.f64 (.f64 64/405 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (.f64 2/9 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 u2 2))))) (+.f64 (.f64 1/18 (log.f64 u1)) (.f64 8/27 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 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 1/18) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.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 1/18) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(-.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))) (+.f64 (.f64 4/27 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 u1) 2) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4))) (pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)))))
(-.f64 (+.f64 (.f64 4/243 (/.f64 (.f64 (pow.f64 (log.f64 u1) 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 3))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (.f64 1/1458 (/.f64 (.f64 (pow.f64 (log.f64 u1) 3) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 5))) (.f64 32/405 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))))) (+.f64 (.f64 4/27 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 u1) 2) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4))) (pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 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 1/2 (sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))))
(+.f64 1/2 (sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))))
(+.f64 1/2 (sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))))
(+.f64 1/2 (sqrt.f64 (.f64 -1/18 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))
(-.f64 (+.f64 1/2 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 u1) 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 3))) (.f64 4/27 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))
(-.f64 (+.f64 1/2 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (.f64 32/405 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 u2 6))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (.f64 4/243 (/.f64 (.f64 (pow.f64 (log.f64 u1) 2) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 u2 6))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 3))) (.f64 1/1458 (/.f64 (.f64 (pow.f64 (log.f64 u1) 3) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 u2 6))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 5)))))))) (+.f64 (.f64 4/27 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 u1) 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) 1/2)

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

prune137.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Error

0.0b

Counts

136 → 7

Alt Table

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

Compiler

Compiled 3858 to 2784 computations (27.8% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
	0.2b	(*.f64 (PI.f64) u2)
✓	0.3b	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/6))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/6)))

series14.0ms (0.3%)

Counts

3 → 56

Calls

15 calls:

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

rewrite54.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
268×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
156×	`pow1_binary64`
155×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	330	48
2	3935	48

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

983×	`fma-neg_binary64`
648×	`distribute-rgt-neg-in_binary64`
600×	`associate-l_binary64`
560×	`associate-r_binary64`
211×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1526
1	234	1518
2	705	1442
3	3428	1430

Stop Event

1×	node limit

Counts

111 → 85

Calls

Call 1

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

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

prune87.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	100	7	107

Error

0.0b

Counts

107 → 7

Alt Table

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

Compiler

Compiled 2402 to 1686 computations (29.8% saved)

regimes1.0s (22.6%)

Accuracy

Total 0.3b remaining (94%)

Threshold costs 0.3b (94%)

Counts

134 → 1

Compiler

Compiled 2871 to 1986 computations (30.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end156.0ms (3.4%)

Stop Event

1×

fuel

Compiler

Compiled 223 to 182 computations (18.4% saved)

Details

analyze85.0ms (1.9%)

sample1.8s (40.6%)

preprocess79.0ms (1.7%)

simplify55.0ms (1.2%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

series74.0ms (1.6%)

rewrite66.0ms (1.5%)

simplify46.0ms (1%)

prune181.0ms (4%)

localize15.0ms (0.3%)

series60.0ms (1.3%)

rewrite63.0ms (1.4%)

simplify53.0ms (1.2%)

prune195.0ms (4.3%)

localize13.0ms (0.3%)

series19.0ms (0.4%)

rewrite71.0ms (1.6%)

simplify52.0ms (1.2%)

prune137.0ms (3%)

localize21.0ms (0.5%)

series14.0ms (0.3%)

rewrite54.0ms (1.2%)

simplify54.0ms (1.2%)

prune87.0ms (1.9%)

regimes1.0s (22.6%)

simplify2.0ms (0.1%)

end156.0ms (3.4%)

Profiling