Details

analyze48.0ms (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)

sample2.1s (23.2%)

Results

2.1s

8256×

body

256

valid

preprocess154.0ms (1.7%)

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)

simplify120.0ms (1.3%)

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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize42.0ms (0.5%)

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)
✓	0.3b	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 85 to 63 computations (25.9% saved)

series77.0ms (0.8%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
17.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
12.0ms	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)
12.0ms	u1	@	inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
5.0ms	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)

rewrite112.0ms (1.2%)

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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simplify163.0ms (1.8%)

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

eval121.0ms (1.3%)

Compiler: Compiled 3091 to 2430 computations (21.4% saved)

prune54.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	9	129

Error

0.0b

Counts

129 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (pow.f64 u1 -2)) 1/36)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	64.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
	34.5b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (log.f64 (pow.f64 u1 -2)) 3/2))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	34.5b	(+.f64 (.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1) (cos.f64 (.f64 (.f64 2 (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)
▶	34.4b	(+.f64 (.f64 (exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	34.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -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)
▶	0.2b	(+.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)

Compiler

Compiled 331 to 299 computations (9.7% saved)

localize95.0ms (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)
✓	0.3b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 91 to 73 computations (19.8% saved)

series20.0ms (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))))

rewrite95.0ms (1%)

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)))))))))

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)))))))))

simplify58.0ms (0.6%)

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)))

localize26.0ms (0.3%)

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

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 82 to 49 computations (40.2% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`pow1_binary64`
719×	`add-log-exp_binary64`
718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	204	24
2	2288	24

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

584×	`unswap-sqr_binary64`
510×	`distribute-rgt-in_binary64`
379×	`unsub-neg_binary64`
347×	`fma-def_binary64`
330×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	552
1	75	468
2	180	464
3	404	464
4	1005	464
5	1316	464
6	1979	464
7	3724	464
8	4574	464
9	5730	464
10	7080	464
11	7551	464

Stop Event

1×	node limit

Counts

82 → 58

Calls

Call 1

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

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

localize64.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(log.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
✓	0.3b	(*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
✓	33.2b	(log.f64 (pow.f64 u1 -2))

Compiler

Compiled 93 to 74 computations (20.4% saved)

series112.0ms (1.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	u1	@	0	(log.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
15.0ms	u1	@	-inf	(log.f64 (pow.f64 u1 -2))
14.0ms	u1	@	inf	(log.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
13.0ms	u1	@	0	(log.f64 (pow.f64 u1 -2))
13.0ms	u1	@	inf	(log.f64 (pow.f64 u1 -2))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`pow1_binary64`
703×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	183	30
2	1973	30

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

117×	`fma-def_binary64`
110×	`fma-neg_binary64`
39×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-in_binary64`
34×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	460
1	57	460
2	103	460
3	163	460
4	190	460
5	220	460
6	264	460
7	324	460
8	417	460
9	521	460
10	612	460
11	709	460
12	723	460

Stop Event

1×

saturated

Counts

99 → 73

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

localize93.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.3b	(*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
✓	0.4b	(exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
	33.2b	(log.f64 (pow.f64 u1 -2))

Compiler

Compiled 109 to 89 computations (18.3% saved)

series39.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

u1

(exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))

15.0ms

u1

inf

(exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))

6.0ms

u1

-inf

(exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`pow1_binary64`
752×	`add-log-exp_binary64`
751×	`expm1-log1p-u_binary64`
750×	`log1p-expm1-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	199	14
2	2139	14

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))

Outputs

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

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

53×	`fma-def_binary64`
37×	`fma-neg_binary64`
17×	`*-commutative_binary64`
16×	`cancel-sign-sub-inv_binary64`
13×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	204
1	48	188
2	79	188
3	104	188
4	116	188
5	125	188
6	145	188
7	172	188
8	207	188
9	262	188
10	298	188
11	324	188
12	326	188

Stop Event

1×

saturated

Counts

34 → 28

Calls

Call 1

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

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

eval154.0ms (1.7%)

Compiler: Compiled 7631 to 5983 computations (21.6% saved)

prune57.0ms (0.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	333	6	339
Fresh	3	0	3
Picked	1	0	1
Done	2	3	5
Total	339	9	348

Error

Counts

348 → 9

Alt Table

Click to see full alt table

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

Compiler

Compiled 317 to 284 computations (10.4% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))

Compiler

Compiled 79 to 50 computations (36.7% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log-prod_binary64`
520×	`prod-diff_binary64`
287×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`
236×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	361	35
2	4336	35

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

(*.f64 1/36 (*.f64 2 (neg.f64 (log.f64 u1))))

(sqrt.f64 (*.f64 1/36 (*.f64 2 (neg.f64 (log.f64 u1)))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 u1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 u1 u1) 1/36)) (cbrt.f64 (pow.f64 (*.f64 u1 u1) 1/36)))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 u1 u1) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 u1 u1) 1/36))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 u1 u1) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 u1) 1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) 1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 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 neg.f64 (*.f64 (log.f64 u1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 u1 u1) 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 log.f64 (/.f64 1 (pow.f64 (*.f64 u1 u1) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.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 exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) 1/18)) 1))))))

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

simplify149.0ms (1.6%)

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

146 → 118

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)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 49 computations (37.2% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`log-prod_binary64`
572×	`prod-diff_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`
239×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	49
1	359	43
2	4335	43

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1030×	`distribute-lft-out_binary64`
434×	`associate-l_binary64`
428×	`unswap-sqr_binary64`
423×	`associate-r_binary64`
408×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1138
1	194	1086
2	558	1069
3	2332	1048
4	3074	1038
5	5346	1038
6	7113	1038

Stop Event

1×	node limit

Counts

140 → 114

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

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

localize61.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
✓	0.3b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
✓	0.3b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
✓	0.4b	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))

Compiler

Compiled 160 to 120 computations (25% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
1.0ms	u1	@	inf	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
1.0ms	u1	@	0	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
0.0ms	u1	@	inf	(-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
0.0ms	u1	@	-inf	(-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
358×	`pow2_binary64`
304×	`fma-def_binary64`
246×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	308	36
2	4041	36

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 -2 (log.f64 u1)) 1/36)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(-.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))

Outputs
((#(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 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (/.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)) (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (/.f64 (cbrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)) (-.f64 1 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 3))) (+.f64 (fma.f64 (log.f64 u1) -1/18 1) (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)) (-.f64 1 (.f64 (log.f64 u1) -1/18))) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) 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(log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) 2) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (-.f64 1 (.f64 (log.f64 u1) -1/18))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (-.f64 1 (.f64 (log.f64 u1) -1/18))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)) 2))) (/.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2)) (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)) 2))) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cbrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)) 2))) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (cbrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (/.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 2)) (sqrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (-.f64 1 (.f64 (log.f64 u1) -1/18)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/6 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (-.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))) (fma.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 (log.f64 u1) -1/18 1) 1) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (-.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))) (fma.f64 (log.f64 u1) -1/18 1) (neg.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (+.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 (cbrt.f64 (log.f64 (pow.f64 u1 -2)))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4)) (pow.f64 (log.f64 (pow.f64 u1 -2)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)) 1)))))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

845×	`fma-neg_binary64`
442×	`times-frac_binary64`
436×	`associate-/l*_binary64`
433×	`distribute-neg-frac_binary64`
405×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	836
1	111	828
2	277	756
3	729	756
4	1916	756
5	5602	756

Stop Event

1×	node limit

Counts

236 → 206

Calls

Call 1

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

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

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 92 to 66 computations (28.3% saved)

series89.0ms (1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	u1	@	-inf	(log.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
15.0ms	u1	@	inf	(log.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
8.0ms	u1	@	0	(log.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
0.0ms	u1	@	0	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
0.0ms	u1	@	0	(exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))))

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`pow1_binary64`
694×	`add-log-exp_binary64`
694×	`log1p-expm1-u_binary64`
694×	`expm1-log1p-u_binary64`
680×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	184	35
2	1923	35

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify251.0ms (2.7%)

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: 0 (0.0ms)

Iter	Nodes	Cost
0	29	576
1	61	576
2	122	576
3	243	576
4	356	576
5	542	576
6	1122	576
7	2638	576
8	3388	576
9	4171	576
10	4511	576
11	4577	576
12	4583	576
13	4589	576
14	4589	576
15	5293	576
16	6129	576
17	6509	576
18	6635	576
19	6719	576
20	6719	576

Stop Event

1×	node limit

Counts

101 → 61

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

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

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.3b	(.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))
✓	0.4b	(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))

Compiler

Compiled 102 to 67 computations (34.3% saved)

series54.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	u1	@	-inf	(log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))))
15.0ms	u1	@	0	(log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))))
15.0ms	u1	@	inf	(log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))))
0.0ms	u1	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))
0.0ms	u1	@	-inf	(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`expm1-log1p-u_binary64`
731×	`log1p-expm1-u_binary64`
718×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	211	18
2	2384	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1)))))))
(log1p.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1) 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 1/6 (sqrt.f64 (*.f64 2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (sqrt.f64 (*.f64 2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/18 1/2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1)) (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) 1/18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) 1/18) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) 1/18) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) 1/18) 3/2))))) (#(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 (+.f64 1 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) (sqrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))))))))

simplify220.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	320
1	50	320
2	70	320
3	102	320
4	168	320
5	355	320
6	953	320
7	2473	320
8	3227	320
9	4010	320
10	4345	320
11	4411	320
12	4417	320
13	4423	320
14	4423	320
15	5127	320
16	5963	320
17	6331	320
18	6457	320
19	6541	320
20	6541	320

Stop Event

1×	node limit

Counts

68 → 53

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.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 -1) (.f64 (sqrt.f64 -1/18) (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 -1) (.f64 (sqrt.f64 -1/18) (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 -1) (.f64 (sqrt.f64 -1/18) (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))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(log.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(log1p.f64 (.f64 (.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (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 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(log.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))))
(log1p.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))

eval372.0ms (4.1%)

Compiler: Compiled 16854 to 12841 computations (23.8% saved)

prune103.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	649	6	655
Fresh	1	0	1
Picked	1	0	1
Done	5	2	7
Total	656	8	664

Error

Counts

664 → 8

Alt Table

Click to see full alt table

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

Compiler

Compiled 293 to 259 computations (11.6% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 39 computations (33.9% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite110.0ms (1.2%)

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

Outputs

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

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

simplify150.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
383×	`associate-r_binary64`
354×	`associate-l_binary64`
302×	`sqr-pow_binary64`
245×	`+-commutative_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	71	916
1	185	891
2	521	848
3	2162	846
4	3021	844
5	3837	835
6	5141	835
7	6631	826
8	7551	821
9	7979	821

Stop Event

1×	node limit

Counts

137 → 112

Calls

Call 1

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

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

localize12.0ms (0.1%)

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 49 computations (31% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	352	43
2	4080	43

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

simplify133.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1030×	`distribute-lft-out_binary64`
434×	`associate-l_binary64`
428×	`unswap-sqr_binary64`
423×	`associate-r_binary64`
408×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	1138
1	194	1086
2	558	1069
3	2332	1048
4	3074	1038
5	5346	1038
6	7113	1038

Stop Event

1×	node limit

Counts

143 → 116

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

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

localize84.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
✓	0.3b	(*.f64 (log.f64 u1) -1/18)
	0.3b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
✓	0.4b	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))

Compiler

Compiled 147 to 107 computations (27.2% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
1.0ms	u1	@	0	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
1.0ms	u1	@	inf	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
0.0ms	u1	@	-inf	(-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
0.0ms	u1	@	inf	(-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log-prod_binary64`
344×	`pow2_binary64`
310×	`fma-def_binary64`
238×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	307	28
2	4082	28

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(*.f64 (log.f64 u1) -1/18)
(-.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))) (neg.f64 (/.f64 (log.f64 (pow.f64 u1 -1/18)) (-.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 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-1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))) (neg.f64 (/.f64 (log.f64 (pow.f64 u1 -1/18)) (-.f64 1 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))) 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simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

819×	`times-frac_binary64`
724×	`fma-neg_binary64`
441×	`associate-/r*_binary64`
324×	`sub-neg_binary64`
316×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	580
1	98	572
2	229	548
3	504	548
4	1318	548
5	3829	548

Stop Event

1×	node limit

Counts

178 → 154

Calls

Call 1

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

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

localize132.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1))
	0.3b	(*.f64 (log.f64 u1) -1/18)
	0.3b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
✓	0.4b	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)))

Compiler

Compiled 183 to 139 computations (24% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)))
0.0ms	u1	@	-inf	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)))
0.0ms	u1	@	inf	(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)))
0.0ms	u1	@	inf	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1))
0.0ms	u1	@	-inf	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1))

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`fma-def_binary64`
408×	`fma-neg_binary64`
254×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`
198×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	370	22
2	5465	22

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1)))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1))

Outputs

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

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

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

819×	`times-frac_binary64`
724×	`fma-neg_binary64`
441×	`associate-/r*_binary64`
324×	`sub-neg_binary64`
316×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	508
1	98	500
2	229	476
3	504	476
4	1318	476
5	3829	476

Stop Event

1×	node limit

Counts

151 → 137

Calls

Call 1

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

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

eval808.0ms (8.8%)

Compiler: Compiled 17862 to 14322 computations (19.8% saved)

prune361.0ms (3.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	622	6	628
Fresh	1	0	1
Picked	1	0	1
Done	2	4	6
Total	626	10	636

Error

Counts

636 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.2b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	64.0b	(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
	0.6b	(+.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)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/4) 2) 1/6) (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)
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	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)
	0.5b	(+.f64 (.f64 (-.f64 (/.f64 (-.f64 1 (.f64 -1/18 (log.f64 u1))) (-.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 1) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 184 to 163 computations (11.4% saved)

regimes270.0ms (2.9%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

12 calls:

43.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
37.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
37.0ms	u2
33.0ms	(*.f64 -2 (log.f64 u1))
15.0ms	(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	`(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 603 to 482 computations (20.1% saved)

regimes83.0ms (0.9%)

Counts

7 → 1

Calls

Call 1

Inputs
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 1/36 (.f64 2 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 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
(+.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Calls

10 calls:

30.0ms	(.f64 (.f64 2 (PI.f64)) u2)
7.0ms	(+.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)
7.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
5.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
5.0ms	(.f64 (/.f64 1 6) (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	`(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 194 to 158 computations (18.6% saved)

regimes30.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	u2
3.0ms	u1
3.0ms	(log.f64 u1)

Results

Error	Segments	Branch
64.0b	1	`u1`
64.0b	1	`u2`
64.0b	1	`(log.f64 u1)`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	59
1	33	59

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

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

Compiler

Compiled 42 to 37 computations (11.9% saved)

soundness0.0ms (0%)

end147.0ms (1.6%)

Compiler: Compiled 38 to 31 computations (18.4% 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	29	460
1	57	460
2	103	460
3	163	460
4	190	460
5	220	460
6	264	460
7	324	460
8	417	460
9	521	460
10	612	460
11	709	460
12	723	460

Iter	Nodes	Cost
0	26	204
1	48	188
2	79	188
3	104	188
4	116	188
5	125	188
6	145	188
7	172	188
8	207	188
9	262	188
10	298	188
11	324	188
12	326	188

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	29	460
1	57	460
2	103	460
3	163	460
4	190	460
5	220	460
6	264	460
7	324	460
8	417	460
9	521	460
10	612	460
11	709	460
12	723	460

Iter	Nodes	Cost
0	26	204
1	48	188
2	79	188
3	104	188
4	116	188
5	125	188
6	145	188
7	172	188
8	207	188
9	262	188
10	298	188
11	324	188
12	326	188

Details

analyze48.0ms (0.5%)

sample2.1s (23.2%)

preprocess154.0ms (1.7%)

simplify120.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize42.0ms (0.5%)

series77.0ms (0.8%)

rewrite112.0ms (1.2%)

simplify163.0ms (1.8%)

eval121.0ms (1.3%)

prune54.0ms (0.6%)

localize95.0ms (1%)

series20.0ms (0.2%)

rewrite95.0ms (1%)

simplify58.0ms (0.6%)

localize26.0ms (0.3%)

localize39.0ms (0.4%)

series7.0ms (0.1%)

rewrite65.0ms (0.7%)

simplify124.0ms (1.3%)

localize64.0ms (0.7%)

series112.0ms (1.2%)

rewrite68.0ms (0.7%)

simplify93.0ms (1%)

localize93.0ms (1%)

series39.0ms (0.4%)

rewrite59.0ms (0.6%)

simplify24.0ms (0.3%)

eval154.0ms (1.7%)

prune57.0ms (0.6%)

localize32.0ms (0.4%)

series8.0ms (0.1%)

rewrite87.0ms (0.9%)

simplify149.0ms (1.6%)

localize32.0ms (0.3%)

series6.0ms (0.1%)

rewrite83.0ms (0.9%)

simplify105.0ms (1.1%)

localize61.0ms (0.7%)

series5.0ms (0.1%)

rewrite91.0ms (1%)

simplify74.0ms (0.8%)

localize46.0ms (0.5%)

series89.0ms (1%)

rewrite63.0ms (0.7%)

simplify251.0ms (2.7%)

localize49.0ms (0.5%)

series54.0ms (0.6%)

rewrite55.0ms (0.6%)

simplify220.0ms (2.4%)

eval372.0ms (4.1%)

prune103.0ms (1.1%)

localize27.0ms (0.3%)

series4.0ms (0%)

rewrite110.0ms (1.2%)

simplify150.0ms (1.6%)

localize12.0ms (0.1%)

localize32.0ms (0.3%)

series4.0ms (0%)

rewrite84.0ms (0.9%)

simplify133.0ms (1.5%)

localize84.0ms (0.9%)

series5.0ms (0.1%)

rewrite82.0ms (0.9%)

simplify84.0ms (0.9%)

localize132.0ms (1.4%)

series2.0ms (0%)

rewrite92.0ms (1%)

simplify75.0ms (0.8%)

eval808.0ms (8.8%)

prune361.0ms (3.9%)

regimes270.0ms (2.9%)

regimes83.0ms (0.9%)

regimes30.0ms (0.3%)

simplify4.0ms (0%)

soundness0.0ms (0%)

end147.0ms (1.6%)

Profiling

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	29	460
1	57	460
2	103	460
3	163	460
4	190	460
5	220	460
6	264	460
7	324	460
8	417	460
9	521	460
10	612	460
11	709	460
12	723	460

Iter	Nodes	Cost
0	26	204
1	48	188
2	79	188
3	104	188
4	116	188
5	125	188
6	145	188
7	172	188
8	207	188
9	262	188
10	298	188
11	324	188
12	326	188