Details

analyze81.0ms (2.2%)

Algorithm

1×

Search

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

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample1.9s (51.3%)

Results

1.8s

8256×

body

128

valid

Compiler

Compiled 72 to 60 computations (16.7% saved)

preprocess77.0ms (2.1%)

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)

simplify56.0ms (1.6%)

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

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

Compiler

Compiled 70 to 60 computations (14.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))
✓	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.2b	(*.f64 (PI.f64) u2)
✓	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

series74.0ms (2.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
25.0ms	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)
13.0ms	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)

rewrite70.0ms (1.9%)

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	50
1	324	50
2	3617	50

Stop Event

1×	node limit

Counts

4 → 76

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

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-neg_binary64`
432×	`distribute-rgt-neg-in_binary64`
423×	`distribute-lft-neg-in_binary64`
387×	`associate-l_binary64`
351×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	952
1	231	900
2	643	838
3	2796	824

Stop Event

1×	node limit

Counts

112 → 101

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

prune123.0ms (3.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	7	102

Error

Counts

102 → 7

Alt Table

Status	Error	Program
▶	0.3b	(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.7b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
	1.2b	(.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))
	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
	0.5b	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))
	0.8b	(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3) 1/3)
	0.5b	(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))))

Compiler

Compiled 2494 to 1905 computations (23.6% saved)

localize12.0ms (0.3%)

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

series8.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

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

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	349	37
2	4021	37

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
476×	`distribute-rgt-neg-in_binary64`
458×	`distribute-lft-neg-in_binary64`
445×	`associate-l_binary64`
426×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1102
1	193	1070
2	559	1024
3	2667	1018

Stop Event

1×	node limit

Counts

108 → 84

Calls

Call 1

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

prune72.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Error

Counts

106 → 6

Alt Table

Status	Error	Program
✓	0.3b	(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.7b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
	0.5b	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))
▶	0.2b	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
	0.5b	(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))))

Compiler

Compiled 2416 to 1723 computations (28.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

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

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	349	46
2	4035	46

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

Outputs

((#(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 expm1.f64 (log1p.f64 (*.f64 u2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 u2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 u2 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 u2 (PI.f64))))))))

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

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

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg_binary64`
628×	`associate-l_binary64`
624×	`associate-r_binary64`
238×	`cancel-sign-sub-inv_binary64`
233×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1174
1	223	1134
2	732	1080
3	3847	1076

Stop Event

1×	node limit

Counts

101 → 76

Calls

Call 1

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

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

prune135.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	104	6	110

Error

Counts

110 → 6

Alt Table

Status	Error	Program
✓	0.3b	(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.4b	(fma.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
	0.7b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
▶	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
	0.5b	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))
✓	0.2b	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)

Compiler

Compiled 2540 to 1810 computations (28.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.2b	(.f64 u2 (.f64 2 (PI.f64)))
✓	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)

series6.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
0.0ms	u1	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
0.0ms	u2	@	inf	(.f64 u2 (.f64 2 (PI.f64)))
0.0ms	u2	@	0	(.f64 u2 (.f64 2 (PI.f64)))
0.0ms	u2	@	-inf	(.f64 u2 (.f64 2 (PI.f64)))

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`prod-diff_binary64`
283×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
155×	`pow1_binary64`
154×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	341	47
2	3716	47

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs

(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (log1p.f64 (expm1.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)

(*.f64 u2 (*.f64 2 (PI.f64)))

(expm1.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))

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

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

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

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-neg_binary64`
507×	`distribute-rgt-neg-in_binary64`
462×	`associate-l_binary64`
458×	`associate-r_binary64`
288×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1093
1	268	1043
2	767	1009
3	3469	999

Stop Event

1×	node limit

Counts

106 → 84

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 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(-.f64 (exp.f64 1/6) 1)
(-.f64 (exp.f64 1/6) (+.f64 (.f64 1/3 (.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (exp.f64 1/6)))) 1))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (exp.f64 1/6)))) (exp.f64 1/6)) (+.f64 (.f64 1/3 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (exp.f64 1/6)))) 1))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (exp.f64 1/6)))) (exp.f64 1/6)) (+.f64 (.f64 1/3 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (exp.f64 1/6)))) (+.f64 (.f64 47/810 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (exp.f64 1/6)))) 1)))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)

Outputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 2 (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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
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(+.f64 (exp.f64 1/6) (fma.f64 (exp.f64 1/6) (fma.f64 1/6 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) -1/3))) -1))
(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (exp.f64 1/6)))) (exp.f64 1/6)) (+.f64 (.f64 1/3 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (exp.f64 1/6)))) (+.f64 (.f64 47/810 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (exp.f64 1/6)))) 1)))
(-.f64 (fma.f64 1/6 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (exp.f64 1/6))) (exp.f64 1/6)) (fma.f64 1/3 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (exp.f64 1/6)) (fma.f64 47/810 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (exp.f64 1/6))) 1)))
(-.f64 (fma.f64 1/6 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (exp.f64 1/6))) (exp.f64 1/6)) (fma.f64 1/3 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (exp.f64 1/6))) (fma.f64 47/810 (.f64 (exp.f64 1/6) (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) 1)))
(fma.f64 1/6 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (exp.f64 1/6))) (-.f64 (expm1.f64 1/6) (.f64 (exp.f64 1/6) (+.f64 (.f64 (.f64 u2 u2) (.f64 1/3 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 u2 6) (.f64 47/810 (pow.f64 (PI.f64) 6)))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))
(expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))

prune108.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Error

Counts

119 → 6

Alt Table

Status	Error	Program
✓	0.3b	(fma.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.4b	(fma.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
	0.7b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
✓	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
	0.5b	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))
✓	0.2b	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)

Compiler

Compiled 2677 to 2113 computations (21.1% saved)

regimes428.0ms (11.9%)

Accuracy

Total 0.2b remaining (95.4%)

Threshold costs 0.2b (95.4%)

Counts

69 → 1

Compiler

Compiled 1378 to 1030 computations (25.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

end110.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 152 to 136 computations (10.5% saved)

Details

analyze81.0ms (2.2%)

sample1.9s (51.3%)

preprocess77.0ms (2.1%)

simplify56.0ms (1.6%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

series74.0ms (2.1%)

rewrite70.0ms (1.9%)

simplify39.0ms (1.1%)

prune123.0ms (3.4%)

localize12.0ms (0.3%)

series8.0ms (0.2%)

rewrite53.0ms (1.5%)

simplify48.0ms (1.3%)

prune72.0ms (2%)

localize14.0ms (0.4%)

series9.0ms (0.3%)

rewrite55.0ms (1.5%)

simplify47.0ms (1.3%)

prune135.0ms (3.7%)

localize14.0ms (0.4%)

series6.0ms (0.2%)

rewrite59.0ms (1.6%)

simplify44.0ms (1.2%)

prune108.0ms (3%)

regimes428.0ms (11.9%)

simplify2.0ms (0.1%)

end110.0ms (3.1%)

Profiling