Details

analyze64.0ms (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)

sample2.3s (19.3%)

Results

2.3s

8256×

body

256

valid

preprocess163.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

788×	`sqr-pow_binary64`
654×	`cube-prod_binary64`
599×	`fabs-mul_binary64`
495×	`*-commutative_binary64`
494×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	48
1	59	48
2	110	48
3	205	48
4	483	48
5	1548	48
6	2100	48
7	2745	48
8	2862	48
9	3035	48
10	3254	48
11	3586	48
12	4046	48
13	4646	48
14	5397	48
15	6333	48
16	6839	48
17	7323	48
18	7721	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)
(+.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 (sqrt.f64 (.f64 -2 (log.f64 u2))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u1 (PI.f64))))) 1/2)

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify122.0ms (1%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
498×	`unpow3_binary64`
492×	`cube-mult_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	24
1	38	24
2	65	24
3	116	24
4	268	24
5	821	24
6	1100	24
7	1430	24
8	2714	24
9	2816	24
10	2975	24
11	3181	24
12	3486	24
13	3914	24
14	4473	24
15	5151	24
16	6011	24
17	6677	24
18	7234	24
19	7796	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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

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

Status

Error

Program

▶

0.3b

(+.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)

▶

0.3b

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

Compiler

Compiled 38 to 34 computations (10.5% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 85 to 63 computations (25.9% saved)

series126.0ms (1.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
23.0ms	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)
21.0ms	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))
9.0ms	u1	@	-inf	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite121.0ms (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	4432	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 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1))))))
((#(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 expm1.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cbrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(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 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4) (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (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 (pow.f64 u1 -2)) 1/36)) (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)) (/.f64 1/4 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (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 (log.f64 (pow.f64 u1 -2))) (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 (log.f64 (pow.f64 u1 -2))) (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 (log.f64 (pow.f64 u1 -2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 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simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1030×	`distribute-lft-out_binary64`
428×	`unswap-sqr_binary64`
413×	`associate-l_binary64`
412×	`associate-r_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	2310	1104
4	3047	1094
5	5321	1094
6	7090	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))))))
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(+.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 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.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 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.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 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.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 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.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 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.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 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 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 (log.f64 u1)) (sqrt.f64 -2)))
(.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 (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 (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 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 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 (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))
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(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
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(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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (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 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 -1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (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 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 -1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (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 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 -1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (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 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 (.f64 (.f64 1/6 (sqrt.f64 -1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (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 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (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))))))))
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(+.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))))))))
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(fma.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
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(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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2)
(fma.f64 (*.f64 1/6 (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)
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(+.f64 (fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1/2) (.f64 -1/3 (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (log.f64 u1))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (fma.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 2) (*.f64 u2 u2)))) 1/2))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 (.f64 (sqrt.f64 -2) u2)))) (.f64 1/6 (sqrt.f64 -2)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (+.f64 (.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 -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 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (log.f64 u1)))) (.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 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 u2)))) (.f64 1/9 (.f64 (sqrt.f64 -2) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (fma.f64 -1/3 (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 (.f64 (sqrt.f64 -2) u2))) (.f64 (pow.f64 u2 4) (.f64 (.f64 1/9 (pow.f64 (PI.f64) 4)) (sqrt.f64 -2)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -2) (.f64 (.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 1/6 (+.f64 (.f64 (.f64 -1/3 (.f64 u2 u2)) (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)))))))
(+.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 (.f64 (pow.f64 u2 6) (sqrt.f64 -2)) (pow.f64 (PI.f64) 6))) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (log.f64 u1)))) (.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 (.f64 1/6 (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)))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 u2)))) (.f64 1/9 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4))))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (pow.f64 u2 4) (.f64 (.f64 1/9 (pow.f64 (PI.f64) 4)) (sqrt.f64 -2))) (fma.f64 -2/135 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (.f64 -1/3 (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 (*.f64 (sqrt.f64 -2) u2))))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (sqrt.f64 -2) (+.f64 (.f64 (.f64 -2/135 (pow.f64 u2 6)) (pow.f64 (PI.f64) 6)) (.f64 -1/3 (.f64 (.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 1/6 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) -1/3)) (+.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 1/2 (.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 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2))) -1/3))))))
(+.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 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (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))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 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 (sqrt.f64 -2))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 34 computations (40.4% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log-prod_binary64`
575×	`prod-diff_binary64`
393×	`pow2_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	324	50
2	3619	50

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 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simplify128.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-neg_binary64`
543×	`associate-l_binary64`
510×	`associate-r_binary64`
467×	`distribute-lft-out_binary64`
439×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	86	1212
1	224	1156
2	670	1137
3	2912	1108
4	3878	1094
5	4963	1076
6	6553	1076
7	7776	1076

Stop Event

1×	node limit

Counts

150 → 115

Calls

Call 1

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

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

eval117.0ms (1%)

Compiler: Compiled 5514 to 4214 computations (23.6% saved)

prune43.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	235	8	243
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	235	10	245

Error

Counts

245 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	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	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
▶	1.2b	(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
	0.5b	(fma.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
✓	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)
	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.6b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)
▶	33.1b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	0.3b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 1/2)

Compiler

Compiled 328 to 294 computations (10.4% saved)

localize122.0ms (1%)

Local error

Found 4 expressions with local error:

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

series21.0ms (0.2%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	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	@	0	(.f64 1/6 (.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	@	inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite98.0ms (0.8%)

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	2387	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 (*.f64 2 (neg.f64 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (neg.f64 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (neg.f64 (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 expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (neg.f64 (log.f64 u1))))))))))

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

((#(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 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) 2)) (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 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) 2) 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 expm1.f64 (log1p.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 exp.f64 (log.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

97×	`fma-neg_binary64`
55×	`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	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	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 (.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 (.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 (.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 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 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 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 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 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 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 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 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 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)))

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 17 computations (32% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
678×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	180	12
2	1885	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify238.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
612×	`distribute-neg-in_binary64`
482×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	204
1	60	196
2	105	196
3	188	196
4	273	196
5	457	196
6	1050	196
7	2557	196
8	3310	196
9	4093	196
10	4432	196
11	4498	196
12	4504	196
13	4510	196
14	4510	196
15	5214	196
16	6054	196
17	6426	196
18	6552	196
19	6636	196
20	6636	196

Stop Event

1×	node limit

Counts

33 → 26

Calls

Call 1

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

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

localize93.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 (pow.f64 u1 -2)) 1/36))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 (log.f64 (pow.f64 u1 -2)) 1/36)
✓	32.0b	(log.f64 (pow.f64 u1 -2))

Compiler

Compiled 73 to 56 computations (23.3% saved)

series51.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	u1	@	-inf	(log.f64 (pow.f64 u1 -2))
14.0ms	u1	@	0	(log.f64 (pow.f64 u1 -2))
13.0ms	u1	@	inf	(log.f64 (pow.f64 u1 -2))
1.0ms	u1	@	0	(*.f64 (log.f64 (pow.f64 u1 -2)) 1/36)
1.0ms	u1	@	inf	(*.f64 (log.f64 (pow.f64 u1 -2)) 1/36)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`pow1_binary64`
630×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
616×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	167	20
2	1788	20

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(log.f64 (pow.f64 u1 -2))
(*.f64 (log.f64 (pow.f64 u1 -2)) 1/36)
(sqrt.f64 (*.f64 (log.f64 (pow.f64 u1 -2)) 1/36))

Outputs

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

((#(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 (*.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 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (#(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 1/36 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 -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 expm1.f64 (log1p.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 exp.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

203×	`fma-def_binary64`
183×	`fma-neg_binary64`
63×	`cancel-sign-sub-inv_binary64`
61×	`distribute-rgt-in_binary64`
35×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	344
1	55	344
2	86	344
3	125	344
4	167	344
5	218	344
6	286	344
7	380	344
8	532	344
9	695	344
10	843	344
11	1011	344
12	1037	344

Stop Event

1×

saturated

Counts

92 → 67

Calls

Call 1

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

Outputs
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.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 (log.f64 (/.f64 -1 u1)))
(*.f64 (log.f64 (/.f64 -1 u1)) 1/18)
(*.f64 1/18 (log.f64 (/.f64 -1 u1)))
(*.f64 (log.f64 (/.f64 -1 u1)) 1/18)
(*.f64 1/18 (log.f64 (/.f64 -1 u1)))
(*.f64 (log.f64 (/.f64 -1 u1)) 1/18)
(*.f64 1/18 (log.f64 (/.f64 -1 u1)))
(*.f64 (log.f64 (/.f64 -1 u1)) 1/18)
(.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 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 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)))))

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) u2)
✓	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
✓	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 68 to 43 computations (36.8% saved)

series72.0ms (0.6%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	u1	@	0	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
18.0ms	u1	@	inf	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
16.0ms	u1	@	-inf	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
1.0ms	u2	@	inf	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
1.0ms	u1	@	inf	(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
575×	`prod-diff_binary64`
305×	`expm1-udef_binary64`
305×	`log1p-udef_binary64`
257×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	371	41
2	4160	41

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

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

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

683×	`distribute-lft-out_binary64`
463×	`unsub-neg_binary64`
442×	`unswap-sqr_binary64`
432×	`fma-neg_binary64`
394×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	1078
1	215	1026
2	586	985
3	2438	964
4	3730	954
5	6969	954

Stop Event

1×	node limit

Counts

128 → 101

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

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.3b	(.f64 (PI.f64) (.f64 u2 2))
✓	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)
✓	1.0b	(exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))

Compiler

Compiled 78 to 56 computations (28.2% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`log-prod_binary64`
402×	`pow2_binary64`
372×	`prod-diff_binary64`
282×	`pow1/3_binary64`
282×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	344	45
2	3723	45

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (+.f64 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) u2) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 u2 u2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 u2 u2) 3) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) u2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (+.f64 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 u2 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 u2 u2) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1))))))

simplify123.0ms (1%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-neg_binary64`
536×	`associate-l_binary64`
504×	`associate-r_binary64`
467×	`distribute-lft-out_binary64`
441×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	83	1100
1	218	1044
2	663	1025
3	2906	996
4	3857	982
5	4950	964
6	6537	964
7	7768	964

Stop Event

1×	node limit

Counts

131 → 107

Calls

Call 1

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

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

eval311.0ms (2.6%)

Compiler: Compiled 9705 to 6965 computations (28.2% saved)

prune154.0ms (1.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	463	15	478
Fresh	3	0	3
Picked	1	0	1
Done	5	1	6
Total	472	16	488

Error

Counts

488 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1/6 1/2)
	0.4b	(+.f64 (.f64 (.f64 1/6 (-.f64 (+.f64 1 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) 1)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	1.2b	(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	1.4b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
▶	1.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
	2.0b	(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	1.5b	(fma.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/6 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	1.4b	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
✓	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
	1.4b	(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
	1.3b	(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) 1/6 1/2)
	0.4b	(+.f64 (.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 -1/18 (log.f64 u1))))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 467 to 421 computations (9.9% saved)

localize54.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 39 computations (33.9% saved)

series16.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
2.0ms	u1	@	inf	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
2.0ms	u2	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

rewrite109.0ms (0.9%)

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	3621	35

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

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

simplify175.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
382×	`associate-r_binary64`
353×	`associate-l_binary64`
302×	`sqr-pow_binary64`
248×	`+-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	72	924
1	187	899
2	523	872
3	2160	870
4	3016	868
5	3831	859
6	5127	859
7	6617	850
8	7538	845
9	7966	845

Stop Event

1×	node limit

Counts

141 → 112

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.4b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)

Compiler

Compiled 33 to 23 computations (30.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	211	23
2	2403	23

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (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 pow.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)))) (#(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 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) (/.f64 1 (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))) (neg.f64 (-.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 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))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.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))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.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)) (cbrt.f64 (*.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)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))))

simplify219.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
611×	`distribute-neg-in_binary64`
480×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	388
1	60	380
2	105	380
3	189	380
4	271	380
5	456	380
6	1045	380
7	2541	380
8	3281	380
9	4064	380
10	4402	380
11	4468	380
12	4474	380
13	4480	380
14	4480	380
15	5184	380
16	6026	380
17	6402	380
18	6528	380
19	6612	380
20	6612	380

Stop Event

1×	node limit

Counts

69 → 55

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

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

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 -2 (log.f64 u1)))
✓	0.4b	(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
✓	0.7b	(exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series3.0ms (0%)

Counts

3 → 32

Calls

9 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	215	28
2	2331	28

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))
(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
(log.f64 (*.f64 -2 (log.f64 u1)))

Outputs

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

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

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

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-neg_binary64`
669×	`associate--r-_binary64`
437×	`unsub-neg_binary64`
427×	`associate--l-_binary64`
409×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	392
1	75	384
2	128	368
3	206	368
4	351	368
5	733	368
6	2060	368
7	3680	368
8	4081	368
9	4138	368
10	4158	368
11	4160	368
12	6699	368
13	6920	368
14	7484	368
15	7879	368

Stop Event

1×	node limit

Counts

103 → 82

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.3b	(*.f64 (PI.f64) (+.f64 u2 u2))
✓	0.4b	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))

Compiler

Compiled 71 to 31 computations (56.3% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`prod-diff_binary64`
769×	`log-prod_binary64`
283×	`expm1-udef_binary64`
283×	`log1p-udef_binary64`
275×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	342	55
2	4324	55

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

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

(*.f64 (PI.f64) (+.f64 u2 u2))

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

Outputs

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

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1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) 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 -2 (log.f64 u1))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (*.f64 1/36 (pow.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (*.f64 1/36 (pow.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) 2)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) 2) (*.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) 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 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) (*.f64 (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (pow.f64 (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) 2)) (cbrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2))))) (sqrt.f64 (*.f64 1/6 (cos.f64 (*.f64 (*.f64 (PI.f64) 2) u2)))) 1/2)))))

simplify183.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1207×	`distribute-lft-out_binary64`
467×	`distribute-rgt-in_binary64`
428×	`unswap-sqr_binary64`
415×	`associate-r_binary64`
408×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	1638
1	193	1576
2	566	1540
3	2411	1498
4	3153	1478
5	5857	1478
6	7600	1478

Stop Event

1×	node limit

Counts

168 → 136

Calls

Call 1

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

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.1b	(log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
✓	0.4b	(fma.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/6 1/2)
✓	0.7b	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))

Compiler

Compiled 40 to 28 computations (30% saved)

series163.0ms (1.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
104.0ms	u1	@	-inf	(log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
28.0ms	u1	@	inf	(log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
27.0ms	u1	@	0	(log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
1.0ms	u1	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
1.0ms	u1	@	inf	(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
765×	`expm1-log1p-u_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	201	30
2	2093	30

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify237.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
614×	`distribute-neg-in_binary64`
482×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	532
1	72	516
2	124	516
3	212	516
4	295	516
5	482	516
6	1067	516
7	2593	516
8	3335	516
9	4118	516
10	4459	516
11	4525	516
12	4531	516
13	4537	516
14	4537	516
15	5241	516
16	6087	516
17	6463	516
18	6589	516
19	6673	516
20	6673	516

Stop Event

1×	node limit

Counts

97 → 74

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 (.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))) 1/2)
(+.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))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (+.f64 1 (.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 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.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 (.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))) 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))) 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))) 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 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6))
(fma.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) 1/6)) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6))
(fma.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) 1/6)) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6))
(fma.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) 1/6)) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6))
(fma.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) 1/6)) 1/2)
(fma.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) 1/6)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (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)
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(log.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(log.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2) 1))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))

eval360.0ms (3.1%)

Compiler: Compiled 10526 to 7882 computations (25.1% saved)

prune235.0ms (2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	560	12	572
Fresh	10	0	10
Picked	1	0	1
Done	2	3	5
Total	573	15	588

Error

Counts

588 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) 1/6) 1/2)
	1.3b	(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
▶	1.4b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) 1/2)
	1.3b	(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
▶	0.2b	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
	1.2b	(fma.f64 (-.f64 (+.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1) 1) 1/6 1/2)
	1.1b	(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
	1.1b	(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
▶	2.0b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	1.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6) 1/2)
▶	1.0b	(+.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
▶	1.4b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 1/2)) 1/6) 1/2)
✓	1.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)

Compiler

Compiled 379 to 343 computations (9.5% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

series70.0ms (0.6%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
64.0ms	u2	@	-inf	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
1.0ms	u2	@	inf	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
1.0ms	u1	@	0	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
1.0ms	u1	@	-inf	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
1.0ms	u1	@	inf	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`log-prod_binary64`
484×	`prod-diff_binary64`
361×	`pow-prod-down_binary64`
338×	`pow2_binary64`
238×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	279	29
2	3100	29

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (PI.f64) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) u2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) u2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) u2) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) u2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) u2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) u2) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) u2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) u2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) u2) 2)) 1))))))

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

simplify191.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1112×	`fma-neg_binary64`
400×	`distribute-rgt-in_binary64`
382×	`associate-r_binary64`
363×	`distribute-lft-in_binary64`
354×	`associate-l_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	65	800
1	166	775
2	481	748
3	2113	746
4	2928	744
5	3529	735
6	4345	735
7	5834	726
8	7382	726

Stop Event

1×	node limit

Counts

80 → 59

Calls

Call 1

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

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 24 computations (29.4% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
1.0ms	u1	@	0	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
1.0ms	u1	@	-inf	(+.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
1.0ms	u1	@	inf	(+.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
0.0ms	u1	@	0	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
901×	`add-log-exp_binary64`
901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	213	25
2	2464	25

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(.f64 (.f64 -2 (log.f64 u1)) 1/36)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(+.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 u1) -1/18) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)) (/.f64 1/4 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (/.f64 1 (+.f64 (*.f64 (log.f64 u1) -1/18) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) -1/4) (/.f64 1 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))) (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2) (+.f64 (*.f64 (log.f64 u1) -1/18) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (+.f64 (*.f64 (log.f64 u1) -1/18) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (+.f64 1/4 (-.f64 (*.f64 (log.f64 u1) -1/18) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) -1/4) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))) (neg.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (log.f64 u1) -1/18) -1/4)) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (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)) (cbrt.f64 (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) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))

simplify290.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
636×	`distribute-rgt-in_binary64`
581×	`associate--r-_binary64`
366×	`associate--l-_binary64`
360×	`associate--l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	404
1	58	380
2	99	380
3	161	380
4	296	380
5	655	380
6	1919	380
7	3718	380
8	4126	380
9	4187	380
10	4207	380
11	4209	380
12	6636	380
13	6787	380
14	6997	380
15	7267	380
16	7371	380
17	7371	380
18	7868	380
19	7996	380
20	7996	380

Stop Event

1×	node limit

Counts

108 → 84

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) 1/2)
✓	0.4b	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6)
	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 46 to 34 computations (26.1% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	0	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6)
1.0ms	u1	@	inf	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6)
1.0ms	u1	@	-inf	(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6)
1.0ms	u1	@	inf	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) 1/2)
1.0ms	u1	@	-inf	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) 1/2)

rewrite126.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log-prod_binary64`
380×	`exp-prod_binary64`
296×	`pow2_binary64`
258×	`pow-prod-down_binary64`
205×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	259	23
2	2963	23

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))) (sqrt.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (+.f64 1/4 (-.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))) (-.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 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))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.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))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) (cbrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) (sqrt.f64 (sqrt.f64 (log.f64 (pow.f64 (pow.f64 u1 -2) 1/36)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/2)))))

simplify238.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
611×	`distribute-neg-in_binary64`
480×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	388
1	60	380
2	105	380
3	189	380
4	271	380
5	456	380
6	1045	380
7	2541	380
8	3281	380
9	4064	380
10	4402	380
11	4468	380
12	4474	380
13	4480	380
14	4480	380
15	5184	380
16	6026	380
17	6402	380
18	6528	380
19	6612	380
20	6612	380

Stop Event

1×	node limit

Counts

99 → 85

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

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

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 1/2)) 1/6) 1/2)
	0.0b	(log.f64 (*.f64 -2 (log.f64 u1)))
✓	0.4b	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 1/2)) 1/6)
	0.7b	(exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))

Compiler

Compiled 54 to 40 computations (25.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
391×	`exp-prod_binary64`
289×	`pow2_binary64`
280×	`pow-prod-down_binary64`
203×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	246	23
2	2849	23

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/2)))) (#(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 pow.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))) (sqrt.f64 (log.f64 (*.f64 (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 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (+.f64 1/4 (-.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 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))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (sqrt.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.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))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 1/6) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 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)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/2)))))

simplify251.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
609×	`distribute-neg-in_binary64`
482×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	348
1	57	340
2	89	340
3	133	340
4	199	340
5	384	340
6	962	340
7	2482	340
8	3230	340
9	4013	340
10	4351	340
11	4417	340
12	4423	340
13	4429	340
14	4429	340
15	5133	340
16	5995	340
17	6379	340
18	6505	340
19	6589	340
20	6589	340

Stop Event

1×	node limit

Counts

99 → 85

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

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
✓	0.4b	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)
	0.4b	(pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)
✓	1.1b	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)

Compiler

Compiled 50 to 38 computations (24% saved)

series13.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	0	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
2.0ms	u1	@	0	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)
2.0ms	u1	@	-inf	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
2.0ms	u1	@	inf	(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
1.0ms	u1	@	-inf	(.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6)

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
318×	`pow2_binary64`
266×	`pow-prod-down_binary64`
222×	`pow-to-exp_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	289	31
2	3182	31

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)) (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 (exp.f64 (log1p.f64 (*.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 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/2)))) (#(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 pow.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216) 1/3)))) (#(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 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8) (+.f64 1/4 (-.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4) (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) (neg.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 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))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 1/4) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12)) (fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 -1/2) (fma.f64 (*.f64 -2 (log.f64 u1)) 1/36 -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.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))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 1/6) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 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)) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/2)))))

simplify250.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3967×	`fma-neg_binary64`
709×	`distribute-rgt-in_binary64`
655×	`unsub-neg_binary64`
609×	`distribute-neg-in_binary64`
480×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	476
1	57	468
2	89	468
3	133	468
4	199	468
5	385	468
6	977	468
7	2489	468
8	3224	468
9	4007	468
10	4345	468
11	4411	468
12	4417	468
13	4423	468
14	4423	468
15	5127	468
16	5969	468
17	6333	468
18	6459	468
19	6543	468
20	6543	468

Stop Event

1×	node limit

Counts

136 → 113

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

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

eval388.0ms (3.3%)

Compiler: Compiled 9414 to 7451 computations (20.9% saved)

prune315.0ms (2.7%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	616	8	624
Fresh	6	1	7
Picked	0	1	1
Done	2	5	7
Total	624	15	639

Error

Counts

639 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	1.2b	(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1/6) 1/2)
	1.2b	(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
✓	1.4b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 1/2)) 1/6) 1/2)
	1.3b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1/2)
	1.0b	(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
	1.3b	(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
	1.8b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2)) 1/6) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
✓	0.2b	(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))) 1/2)
	1.1b	(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
	1.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6) 1/2)
✓	1.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
	1.3b	(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) 1/2)
✓	2.0b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)

Compiler

Compiled 205 to 184 computations (10.2% saved)

regimes714.0ms (6.1%)

Counts

45 → 1

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1/2)
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) 1/2)
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) 1/2)
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) 1/6) 1/2)
(fma.f64 (-.f64 (+.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1) 1) 1/6 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 1/2)) 1/6) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1/6 1/2)
(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6) 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) 1/6 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 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)
(+.f64 (.f64 (.f64 1/6 (-.f64 (+.f64 1 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) 1)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/6 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (PI.f64) (*.f64 2 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 (cbrt.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) (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 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 -1/18 (log.f64 u1))))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 u2 2)))))) 1/2)

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

Calls

13 calls:

110.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
64.0ms	(*.f64 -2 (log.f64 u1))
62.0ms	u2
61.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
57.0ms	(log.f64 u1)

Results

Error	Segments	Branch
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(+.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)`
0.2b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.2b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.2b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
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	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 703 to 559 computations (20.5% saved)

regimes402.0ms (3.4%)

Counts

34 → 1

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1/2)
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) 1/2)
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) 1/2)
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) 1/6) 1/2)
(fma.f64 (-.f64 (+.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1) 1) 1/6 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 1/2)) 1/6) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1/6 1/2)
(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6) 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) 1/6 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))) 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)
(+.f64 (.f64 (.f64 1/6 (-.f64 (+.f64 1 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) 1)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/6 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2) 3))

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

Calls

11 calls:

63.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
57.0ms	(+.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)
51.0ms	(.f64 (.f64 2 (PI.f64)) u2)
50.0ms	(*.f64 -2 (log.f64 u1))
32.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)

Results

Error	Segments	Branch
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(+.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)`
0.2b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.2b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.2b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
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	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 506 to 410 computations (19% saved)

regimes159.0ms (1.3%)

Accuracy

Total -1.2b remaining (-121.8%)

Threshold costs -1.2b (-121.8%)

Counts

26 → 1

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(+.f64 (.f64 (-.f64 (+.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) 1/2)
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) 1/2)
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2)) 1/6) 1/2)
(+.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/216)) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2) 1/6) 1/2)
(fma.f64 (-.f64 (+.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1) 1) 1/6 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6) 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (*.f64 -2 (log.f64 u1))) 1/2)) 1/6) 1/2)
(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6 1/2)) 1)
(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) -1/18)) (-.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(/.f64 (-.f64 1/4 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1/6 1/2)
(+.f64 (.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6) 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3) 1/6 1/2)
(fma.f64 (exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2)) 1/6 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) 1/6 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2)) 1/6) 1/2)

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

Calls

5 calls:

47.0ms	u1
21.0ms	(log.f64 u1)
19.0ms	u2
14.0ms	(*.f64 -2 (log.f64 u1))
12.0ms	(*.f64 -2 (log.f64 u1))

Results

Error	Segments	Branch
1.0b	1	`u1`
1.0b	1	`u2`
1.0b	1	`(*.f64 -2 (log.f64 u1))`
1.0b	1	`(*.f64 -2 (log.f64 u1))`
1.0b	1	`(log.f64 u1)`

Compiler

Compiled 314 to 253 computations (19.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	31	55

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 40 to 35 computations (12.5% saved)

soundness53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

203×	`fma-def_binary64`
183×	`fma-neg_binary64`
63×	`cancel-sign-sub-inv_binary64`
61×	`distribute-rgt-in_binary64`
35×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	344
1	55	344
2	86	344
3	125	344
4	167	344
5	218	344
6	286	344
7	380	344
8	532	344
9	695	344
10	843	344
11	1011	344
12	1037	344

Stop Event

1×

saturated

Compiler

Compiled 12 to 10 computations (16.7% saved)

end89.0ms (0.8%)

Compiler: Compiled 36 to 28 computations (22.2% saved)

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	380

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	380

Iter	Nodes	Cost
0	20	380
1	33	380
2	65	380
3	117	380
4	142	380
5	190	380
6	316	380
7	447	380
8	516	380
9	557	380
10	562	380