Details

analyze36.0ms (0.5%)

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

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample2.0s (29.7%)

Results

2.0s

8256×

body

256

valid

preprocess135.0ms (2%)

Algorithm

2×	egg-herbie

Rules

836×	`sqr-pow_binary64`
652×	`cube-prod_binary64`
598×	`fabs-mul_binary64`
553×	`*-commutative_binary64`
493×	`associate-l_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
14	5353	48
15	6281	48
16	6785	48
17	7267	48
18	7665	48
19	7991	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 23 to 21 computations (8.7% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
670×	`sqr-pow_binary64`
499×	`unpow3_binary64`
498×	`cube-mult_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
15	5040	24
16	5880	24
17	6544	24
18	7101	24
19	7661	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)

eval1.0ms (0%)

Compiler: Compiled 36 to 30 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize42.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 85 to 63 computations (25.9% saved)

series79.0ms (1.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
19.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
17.0ms	u2	@	inf	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
11.0ms	u1	@	inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
2.0ms	u1	@	0	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`log-prod_binary64`
572×	`prod-diff_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
260×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 u2) (.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 -2 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 2)) (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (sqrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2) (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8) (-.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8) (+.f64 1/4 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36))) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))))))

simplify101.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1030×	`distribute-lft-out_binary64`
428×	`unswap-sqr_binary64`
413×	`associate-r_binary64`
412×	`associate-l_binary64`
409×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1194
1	192	1142
2	550	1125
3	2308	1104
4	3046	1094
5	5295	1094
6	7054	1094

Stop Event

1×	node limit

Counts

165 → 128

Calls

Call 1

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

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

eval62.0ms (0.9%)

Compiler: Compiled 3091 to 2308 computations (25.3% saved)

prune30.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	12	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Error

Counts

129 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	64.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
	0.5b	(+.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (.f64 (/.f64 1 6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(expm1.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))
▶	1.2b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.7b	(+.f64 (.f64 (.f64 (/.f64 1 6) (exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 476 to 430 computations (9.7% saved)

localize31.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 72 to 50 computations (30.6% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite88.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`log-prod_binary64`
520×	`prod-diff_binary64`
298×	`expm1-udef_binary64`
298×	`log1p-udef_binary64`
273×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 u1 -2) 1/36)) (cbrt.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 u1 -2) 1/36))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (sqrt.f64 (.f64 (log.f64 u1) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (pow.f64 (.f64 (log.f64 u1) 1/36) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))) (sqrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1/36 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2)) 1/2) (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 u1) -1/18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/8) (/.f64 1 (-.f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2) (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/8) (-.f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/8) (+.f64 1/4 (-.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/8)) (neg.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) 1/4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) (fma.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2) (fma.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (pow.f64 (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2)) (cbrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4)) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -2) (sqrt.f64 (*.f64 (log.f64 u1) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -2) (pow.f64 (*.f64 (log.f64 u1) 1/36) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))))

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

simplify127.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
383×	`associate-r_binary64`
355×	`associate-l_binary64`
302×	`sqr-pow_binary64`
250×	`+-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	72	924
1	187	899
2	521	872
3	2165	870
4	3032	868
5	3805	859
6	5080	859
7	6548	850
8	7469	845
9	7897	845

Stop Event

1×	node limit

Counts

145 → 117

Calls

Call 1

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

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

localize18.0ms (0.3%)

Compiler: Compiled 37 to 24 computations (35.1% saved)

localize35.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 80 to 51 computations (36.3% saved)

series14.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

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

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

851×	`log-prod_binary64`
572×	`prod-diff_binary64`
304×	`expm1-udef_binary64`
304×	`log1p-udef_binary64`
253×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	50
1	377	34
2	4513	34

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

743×	`associate-l_binary64`
693×	`associate-r_binary64`
502×	`unswap-sqr_binary64`
392×	`fma-neg_binary64`
324×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	83	1326
1	216	1185
2	677	1154
3	3476	1119
4	5255	1119
5	6232	1110
6	7549	1110

Stop Event

1×	node limit

Counts

146 → 119

Calls

Call 1

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

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

localize53.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.0b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))
✓	0.4b	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))

Compiler

Compiled 96 to 72 computations (25% saved)

series78.0ms (1.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	u1	@	0	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
15.0ms	u1	@	-inf	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
14.0ms	u1	@	inf	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
6.0ms	u1	@	0	(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))
1.0ms	u1	@	inf	(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
859×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	241	28
2	2482	28

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
(.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)))

Outputs

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

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

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

757×	`unsub-neg_binary64`
655×	`fma-neg_binary64`
555×	`fma-def_binary64`
499×	`distribute-rgt-in_binary64`
390×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	476
1	89	476
2	162	452
3	420	452
4	1211	452
5	4618	452

Stop Event

1×	node limit

Counts

90 → 67

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 8))
(*.f64 (sqrt.f64 8) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -8))
(*.f64 (sqrt.f64 -8) (pow.f64 (log.f64 u1) 3/2))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))

localize51.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.0b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
✓	0.6b	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))

Compiler

Compiled 96 to 70 computations (27.1% saved)

series114.0ms (1.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
71.0ms	u1	@	-inf	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
20.0ms	u1	@	0	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
15.0ms	u1	@	inf	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
4.0ms	u1	@	-inf	(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
1.0ms	u1	@	0	(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
786×	`add-log-exp_binary64`
785×	`log1p-expm1-u_binary64`
785×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	228	35
2	2233	35

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

Outputs

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

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

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

simplify120.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

563×	`unswap-sqr_binary64`
469×	`distribute-rgt-in_binary64`
408×	`sqr-pow_binary64`
393×	`*-commutative_binary64`
357×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	608
1	136	584
2	278	584
3	665	584
4	901	584
5	1200	584
6	2131	584
7	4241	584
8	5040	584
9	5849	584
10	6251	584
11	6520	584
12	6788	584
13	7118	584
14	7529	584

Stop Event

1×	node limit

Counts

99 → 68

Calls

Call 1

Inputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))

Outputs
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (log.f64 u1) 1/6) (*.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (pow.f64 (.f64 -1 (log.f64 (/.f64 1 u1))) 1/6) (.f64 (pow.f64 (.f64 1 (sqrt.f64 -2)) 1/3) (cbrt.f64 1/6)))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 (sqrt.f64 1) (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 -2) 1/3) (cbrt.f64 1/6))))
(.f64 (pow.f64 (log.f64 u1) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -2)) (cbrt.f64 1/6)))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (.f64 (pow.f64 1 1/3) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (pow.f64 1 1/6) (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 -1))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))

eval192.0ms (2.8%)

Compiler: Compiled 10076 to 7481 computations (25.8% saved)

prune64.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	443	8	451
Fresh	6	1	7
Picked	1	0	1
Done	3	1	4
Total	453	10	463

Error

Counts

463 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	64.0b	(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
	0.4b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 334 to 298 computations (10.8% saved)

localize47.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.2b	(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 -1/18 (log.f64 u1))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series4.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	0	(*.f64 -1/18 (log.f64 u1))
0.0ms	u1	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`log-prod_binary64`
520×	`prod-diff_binary64`
383×	`pow2_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	310	35
2	3620	35

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/18 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 u1 -1/18)) 2)) (log.f64 (cbrt.f64 (pow.f64 u1 -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 u1 -1/18))) (log.f64 (sqrt.f64 (pow.f64 u1 -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/18 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))

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

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
386×	`associate-r_binary64`
354×	`associate-l_binary64`
302×	`sqr-pow_binary64`
249×	`+-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	71	916
1	185	891
2	519	848
3	2170	846
4	3013	844
5	3788	835
6	5067	835
7	6532	826
8	7453	821
9	7881	821

Stop Event

1×	node limit

Counts

137 → 112

Calls

Call 1

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

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

localize12.0ms (0.2%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

localize39.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.0b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
✓	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.6b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))

Compiler

Compiled 72 to 50 computations (30.6% saved)

series49.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	u1	@	inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
15.0ms	u1	@	-inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
13.0ms	u1	@	0	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
1.0ms	u1	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
1.0ms	u1	@	0	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	165	23
2	1822	23

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
(*.f64 (log.f64 u1) -1/18)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)

Outputs

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

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

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

778×	`unsub-neg_binary64`
710×	`fma-neg_binary64`
611×	`fma-def_binary64`
530×	`distribute-rgt-in_binary64`
408×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	364
1	82	364
2	142	340
3	384	340
4	1239	340
5	4818	340

Stop Event

1×	node limit

Counts

91 → 67

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 -1/18 (log.f64 u1))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 u1) -1/18)
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (log.f64 u1) -1/18)
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (log.f64 u1) -1/18)
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (log.f64 u1) -1/18)
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (log.f64 u1) -1/18)
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))

localize40.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.1b	(log.f64 (*.f64 (log.f64 u1) -1/18))
	0.0b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
✓	0.1b	(log.f64 (*.f64 (log.f64 u1) -1/18))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 80 to 56 computations (30% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
0.0ms	u1	@	-inf	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
0.0ms	u1	@	inf	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
0.0ms	u1	@	-inf	(log.f64 (*.f64 (log.f64 u1) -1/18))
0.0ms	u1	@	inf	(log.f64 (*.f64 (log.f64 u1) -1/18))

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
652×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	173	16
2	1880	16

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
(log.f64 (*.f64 (log.f64 u1) -1/18))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 u1)) (*.f64 (log.f64 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1/18) (log.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))) (log.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2) (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) 3) (pow.f64 (log.f64 -1/18) 3)) (+.f64 (*.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (-.f64 (*.f64 (log.f64 -1/18) (log.f64 -1/18)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (*.f64 (log.f64 -1/18) (log.f64 -1/18))) (-.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (log.f64 u1) -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))))

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

642×	`unsub-neg_binary64`
633×	`fma-neg_binary64`
573×	`associate--r-_binary64`
441×	`distribute-rgt-in_binary64`
393×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	224
1	58	224
2	86	224
3	143	224
4	276	224
5	649	224
6	1954	224
7	3736	224
8	4149	224
9	4210	224
10	4230	224
11	4232	224
12	6399	224
13	6772	224
14	7175	224
15	7648	224
16	7821	224
17	7881	224
18	7986	224

Stop Event

1×	node limit

Counts

74 → 57

Calls

Call 1

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

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

localize41.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))))
	0.1b	(log1p.f64 (*.f64 (log.f64 u1) -1/18))
	0.0b	(+.f64 (.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))
✓	0.2b	(sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.6b	(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))

Compiler

Compiled 76 to 52 computations (31.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
0.0ms	u1	@	-inf	(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
0.0ms	u1	@	inf	(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
0.0ms	u1	@	-inf	(sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))))
0.0ms	u1	@	inf	(sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))))

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`pow1_binary64`
530×	`expm1-log1p-u_binary64`
529×	`add-log-exp_binary64`
529×	`log1p-expm1-u_binary64`
517×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	138	14
2	1485	14

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 u1) -1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/18 (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) (*.f64 (cbrt.f64 (log.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 (log.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (cbrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (sqrt.f64 (log.f64 u1))) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) (+.f64 (*.f64 (log.f64 u1) -1/18) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) (+.f64 (*.f64 (log.f64 u1) -1/18) 1)) 1) (+.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))))

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

simplify143.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

640×	`distribute-rgt-in_binary64`
629×	`fma-neg_binary64`
552×	`associate--r-_binary64`
371×	`associate--l-_binary64`
358×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	220
1	51	220
2	83	220
3	141	220
4	266	220
5	617	220
6	1868	220
7	3638	220
8	4043	220
9	4104	220
10	4124	220
11	4126	220
12	6526	220
13	6677	220
14	6887	220
15	7154	220
16	7258	220
17	7258	220
18	7762	220
19	7890	220
20	7890	220

Stop Event

1×	node limit

Counts

75 → 56

Calls

Call 1

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

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

eval169.0ms (2.5%)

Compiler: Compiled 8105 to 6098 computations (24.8% saved)

prune60.0ms (0.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	400	4	404
Fresh	2	2	4
Picked	0	1	1
Done	1	4	5
Total	403	11	414

Error

Counts

414 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	64.0b	(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 (log.f64 u1) -1/18) 1) 1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 303 to 270 computations (10.9% saved)

localize39.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
	0.0b	(log.f64 (pow.f64 u1 -1/18))
	0.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
✓	0.0b	(log.f64 (pow.f64 u1 -1/18))
✓	0.2b	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	2.7b	(pow.f64 u1 -1/18)

Compiler

Compiled 60 to 44 computations (26.7% saved)

series50.0ms (0.7%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	u1	@	-inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
13.0ms	u1	@	inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
13.0ms	u1	@	0	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
0.0ms	u1	@	0	(pow.f64 u1 -1/18)
0.0ms	u1	@	-inf	(pow.f64 u1 -1/18)

rewrite44.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
478×	`add-log-exp_binary64`
478×	`log1p-expm1-u_binary64`
478×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

721×	`log-prod_binary64`
482×	`fma-def_binary64`
457×	`associate-l_binary64`
401×	`distribute-rgt-in_binary64`
348×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	276
1	45	260
2	87	260
3	185	204
4	510	168
5	1650	168
6	7395	168

Stop Event

1×	node limit

Counts

91 → 72

Calls

Call 1

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

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

localize34.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 71 to 49 computations (31% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`log-prod_binary64`
572×	`prod-diff_binary64`
299×	`expm1-udef_binary64`
299×	`log1p-udef_binary64`
249×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	352	32
2	4086	32

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) -1/2)) (/.f64 1/4 (fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 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 2 (*.f64 (PI.f64) u2)))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/216 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2))) (fma.f64 1/216 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) -1/2) (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/216 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8) (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/216 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4) (fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)) (neg.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) (sqrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) (sqrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))))))

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1030×	`distribute-lft-out_binary64`
428×	`unswap-sqr_binary64`
415×	`associate-l_binary64`
413×	`associate-r_binary64`
410×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	954
1	187	902
2	541	885
3	2296	864
4	3014	854
5	5268	854
6	7026	854

Stop Event

1×	node limit

Counts

112 → 92

Calls

Call 1

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

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

localize36.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) 1)
	0.1b	(+.f64 (*.f64 (log.f64 u1) -1/18) 1)
	0.0b	(+.f64 (.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 (log.f64 u1) -1/18) 1) 1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 (log.f64 u1) -1/18) 1) 1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))
✓	0.1b	(-.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) 1)
✓	0.2b	(sqrt.f64 (-.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 1) 1))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 86 to 62 computations (27.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	195	14
2	2400	14

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 u1) -1/18) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (log.f64 u1) -1/18 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 u1) -1/18 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (log.f64 u1) -1/18 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 u1) -1/18)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/18 (log.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) (*.f64 (cbrt.f64 (log.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 (log.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) (+.f64 (*.f64 (log.f64 u1) -1/18) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (log.f64 u1) -1/18) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (log.f64 u1) -1/18 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (log.f64 u1) -1/18 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (cbrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/18 (sqrt.f64 (log.f64 u1))) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) (+.f64 (*.f64 (log.f64 u1) -1/18) 2)) (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 2) (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) (+.f64 (*.f64 (log.f64 u1) -1/18) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) (-.f64 1 (*.f64 (fma.f64 (log.f64 u1) -1/18 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) -1) (+.f64 (*.f64 (log.f64 u1) -1/18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) -1) (-.f64 (fma.f64 (log.f64 u1) -1/18 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) (+.f64 (*.f64 (log.f64 u1) -1/18) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 u1) -1/18 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -1/5832) 0) (+.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) (-.f64 0 (*.f64 (*.f64 (log.f64 u1) -1/18) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 0) (-.f64 (*.f64 (log.f64 u1) -1/18) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) -1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -1/5832) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -1/5832))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 u1) -1/18 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/18 (log.f64 u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 u1) -1/18) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 u1) -1/18 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 u1) -1/18 1)) 2) (cbrt.f64 (fma.f64 (log.f64 u1) -1/18 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 u1) -1/18 1)) (sqrt.f64 (fma.f64 (log.f64 u1) -1/18 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))))))

simplify147.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

640×	`distribute-rgt-in_binary64`
613×	`fma-neg_binary64`
540×	`associate--r-_binary64`
371×	`associate--l-_binary64`
358×	`associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	220
1	51	220
2	83	220
3	141	220
4	266	220
5	618	220
6	1876	220
7	3618	220
8	4027	220
9	4088	220
10	4108	220
11	4110	220
12	6490	220
13	6641	220
14	6851	220
15	7119	220
16	7223	220
17	7223	220
18	7728	220
19	7856	220
20	7856	220

Stop Event

1×	node limit

Counts

101 → 82

Calls

Call 1

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

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

localize29.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
	0.0b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))
✓	0.0b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))

Compiler

Compiled 70 to 41 computations (41.4% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	inf	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	0	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	-inf	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	0	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`log-prod_binary64`
572×	`prod-diff_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
239×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	357	29
2	4241	29

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-neg_binary64`
567×	`associate-l_binary64`
562×	`associate-r_binary64`
504×	`distribute-lft-in_binary64`
480×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1046
1	203	978
2	615	936
3	3022	912
4	4220	910
5	4897	910
6	6044	910
7	7671	910

Stop Event

1×	node limit

Counts

105 → 87

Calls

Call 1

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

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

localize48.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
	0.0b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.0b	(log.f64 (/.f64 1 u1))
	0.0b	(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
✓	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 91 to 73 computations (19.8% saved)

series12.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	u1	@	-inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	0	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	-inf	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
1.0ms	u1	@	0	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u1	@	inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite94.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
824×	`add-log-exp_binary64`
824×	`log1p-expm1-u_binary64`
824×	`expm1-log1p-u_binary64`
807×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	222	30
2	2386	30

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

Outputs

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

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

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

simplify32.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

97×	`fma-neg_binary64`
54×	`fma-def_binary64`
35×	`associate-l_binary64`
29×	`cancel-sign-sub-inv_binary64`
27×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	118	380
4	143	380
5	191	380
6	315	380
7	450	380
8	519	380
9	560	380
10	565	380

Stop Event

1×

saturated

Counts

69 → 54

Calls

Call 1

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

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

eval362.0ms (5.2%)

Compiler: Compiled 11548 to 8529 computations (26.1% saved)

prune148.0ms (2.1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	540	2	542
Fresh	0	1	1
Picked	0	1	1
Done	1	8	9
Total	541	12	553

Error

Counts

553 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.7b	(+.f64 (.f64 (.f64 1/6 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	64.0b	(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
✓	0.3b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 3/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 (log.f64 u1) -1/18) 1) 1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 215 to 192 computations (10.7% saved)

regimes109.0ms (1.6%)

Counts

12 → 1

Calls

Call 1

Inputs
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 (log.f64 u1) -1/18) 1) 1)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 3/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

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

Calls

8 calls:

33.0ms	u2
27.0ms	(*.f64 -2 (log.f64 u1))
9.0ms	(log.f64 u1)
7.0ms	u1
7.0ms	(*.f64 -2 (log.f64 u1))

Results

Error	Segments	Branch
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(*.f64 -2 (log.f64 u1))`
0.2b	1	`(*.f64 -2 (log.f64 u1))`
0.2b	1	`(log.f64 u1)`
0.2b	1	`(log.f64 u1)`
0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 234 to 184 computations (21.4% saved)

regimes57.0ms (0.8%)

Accuracy

Total -63.8b remaining (-35517.4%)

Threshold costs -63.8b (-35517.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(*.f64 -2 (log.f64 u1))
4.0ms	(.f64 (.f64 2 (PI.f64)) u2)
4.0ms	u2
4.0ms	(log.f64 u1)
4.0ms	u1

Results

Error	Segments	Branch
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(*.f64 -2 (log.f64 u1))`
0.2b	1	`(log.f64 u1)`
0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 89 to 71 computations (20.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	59
1	33	59

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))

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

end78.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 80 to 68 computations (15% saved)

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	118	380
4	143	380
5	191	380
6	315	380
7	450	380
8	519	380
9	560	380
10	565	380

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	118	380
4	143	380
5	191	380
6	315	380
7	450	380
8	519	380
9	560	380
10	565	380

Details

analyze36.0ms (0.5%)

sample2.0s (29.7%)

preprocess135.0ms (2%)

simplify92.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize42.0ms (0.6%)

series79.0ms (1.1%)

rewrite78.0ms (1.1%)

simplify101.0ms (1.5%)

eval62.0ms (0.9%)

prune30.0ms (0.4%)

localize31.0ms (0.4%)

series8.0ms (0.1%)

rewrite88.0ms (1.3%)

simplify127.0ms (1.8%)

localize18.0ms (0.3%)

localize35.0ms (0.5%)

series14.0ms (0.2%)

rewrite78.0ms (1.1%)

simplify112.0ms (1.6%)

localize53.0ms (0.8%)

series78.0ms (1.1%)

rewrite54.0ms (0.8%)

simplify43.0ms (0.6%)

localize51.0ms (0.7%)

series114.0ms (1.7%)

rewrite58.0ms (0.8%)

simplify120.0ms (1.7%)

eval192.0ms (2.8%)

prune64.0ms (0.9%)

localize47.0ms (0.7%)

series4.0ms (0.1%)

rewrite66.0ms (1%)

simplify121.0ms (1.7%)

localize12.0ms (0.2%)

localize39.0ms (0.6%)

series49.0ms (0.7%)

rewrite48.0ms (0.7%)

simplify46.0ms (0.7%)

localize40.0ms (0.6%)

series2.0ms (0%)

rewrite45.0ms (0.7%)

simplify122.0ms (1.8%)

localize41.0ms (0.6%)

series2.0ms (0%)

rewrite41.0ms (0.6%)

simplify143.0ms (2.1%)

eval169.0ms (2.5%)

prune60.0ms (0.9%)

localize39.0ms (0.6%)

series50.0ms (0.7%)

rewrite44.0ms (0.6%)

simplify44.0ms (0.6%)

localize34.0ms (0.5%)

series3.0ms (0%)

rewrite64.0ms (0.9%)

simplify80.0ms (1.2%)

localize36.0ms (0.5%)

series2.0ms (0%)

rewrite56.0ms (0.8%)

simplify147.0ms (2.1%)

localize29.0ms (0.4%)

series8.0ms (0.1%)

rewrite72.0ms (1%)

simplify110.0ms (1.6%)

localize48.0ms (0.7%)

series12.0ms (0.2%)

rewrite94.0ms (1.4%)

simplify32.0ms (0.5%)

eval362.0ms (5.2%)

prune148.0ms (2.1%)

regimes109.0ms (1.6%)

regimes57.0ms (0.8%)

simplify2.0ms (0%)

end78.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	118	380
4	143	380
5	191	380
6	315	380
7	450	380
8	519	380
9	560	380
10	565	380