Details

analyze68.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.2%	99.8%	0%	0%	0%	0
0%	0%	0.2%	99.8%	0%	0%	0%	1
0%	0%	0.2%	99.8%	0%	0%	0%	2
25%	0%	0.1%	99.8%	0%	0%	0%	3
37.5%	0.1%	0.1%	99.8%	0%	0%	0%	4
56.3%	0.1%	0.1%	99.8%	0%	0%	0%	5
65.6%	0.1%	0.1%	99.8%	0%	0%	0%	6
76.6%	0.1%	0%	99.8%	0%	0%	0%	7
82%	0.2%	0%	99.8%	0%	0%	0%	8
87.9%	0.2%	0%	99.8%	0%	0%	0%	9
90.8%	0.2%	0%	99.8%	0%	0%	0%	10
93.8%	0.2%	0%	99.8%	0%	0%	0%	11
95.4%	0.2%	0%	99.8%	0%	0%	0%	12

Compiler

Compiled 54 to 41 computations (24.1% saved)

sample1.7s (1.2%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess3.1s (2.1%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(*.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

(*.f64 (neg.f64 u) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 s (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) u)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) u)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) u)))))) 1)))

Outputs
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))
(.f64 (neg.f64 u) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 s (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) u)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) u)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) u)))))) 1)))
(*.f64 (neg.f64 u) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 s (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) u))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) u)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) u)))))) -1))))

Compiler

Compiled 41 to 32 computations (22% saved)

simplify1.4s (1%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs

(*.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

Outputs

(*.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

(*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))

eval2.0ms (0%)

Compiler: Compiled 72 to 45 computations (37.5% saved)

prune2.0ms (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

0.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

Status

Error

Program

▶

0.4b

(*.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

localize103.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)
✓	0.2b	(/.f64 (PI.f64) s)
✓	0.2b	(/.f64 (neg.f64 (PI.f64)) s)
✓	0.3b	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

Compiler

Compiled 258 to 133 computations (48.4% saved)

series353.0ms (0.2%)

Counts

4 → 35

Calls

18 calls:

Time	Variable		Point	Expression
73.0ms	s	@	0	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
9.0ms	s	@	inf	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
8.0ms	s	@	-inf	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
4.0ms	u	@	inf	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
4.0ms	u	@	0	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

Compiler

Compiled 36170 to 26990 computations (25.4% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

57×	`egg-rr`
57×	`egg-rr`
44×	`egg-rr`
40×	`egg-rr`

Counts

4 → 198

Calls

Call 1

Inputs
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
(/.f64 (neg.f64 (PI.f64)) s)
(/.f64 (PI.f64) s)
(-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (cbrt.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2)) (cbrt.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 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2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) (neg.f64 (pow.f64 (cbrt.f64 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (pow.f64 (cbrt.f64 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 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simplify4.9s (3.4%)

Algorithm

1×

egglog

Counts

233 → 293

Calls

Call 1

Inputs
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(if (!=.f64 0 0) (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) (+.f64 0 (+.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 2) (*.f64 0 (-.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))
(+.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) (+.f64 1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))
(+.f64 0 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))
(+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))
(+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)

Outputs
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(fma.f64 4 (fma.f64 (.f64 (PI.f64) 1/2) u (.f64 (PI.f64) -1/4)) (.f64 -1/2 (/.f64 (-.f64 (.f64 -2 (fma.f64 -8 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/2) u (.f64 (PI.f64) -1/4)) 2) (.f64 (fma.f64 0 u 0) 4))) (pow.f64 (.f64 -4 (fma.f64 (.f64 (PI.f64) 1/2) u (.f64 (PI.f64) -1/4))) 2)) s)))
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(fma.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1 -1)
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 1)
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(neg.f64 (-.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) (+.f64 0 (+.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 2) (*.f64 0 (-.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))
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(+.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) (+.f64 1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))) (neg.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))
(+.f64 0 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)

eval311.0ms (0.2%)

Compiler: Compiled 30254 to 13775 computations (54.5% saved)

prune98.0ms (0.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	328	20	348
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	328	21	349

Error

0.1b

Counts

349 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 -1 (/.f64 1 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))) (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	27.2b	(if (!=.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 0) (/.f64 (neg.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2)) (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	60.1b	(pow.f64 (pow.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) 1/3)
	1.5b	(pow.f64 (cbrt.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) 3)
	0.9b	(.f64 (.f64 (neg.f64 s) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)))
	27.8b	(.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
	37.7b	(*.f64 (neg.f64 (cbrt.f64 (pow.f64 s 3))) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
	0.3b	(*.f64 (neg.f64 s) (log.f64 (if (!=.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 0) (/.f64 (+.f64 1 (/.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))
	0.5b	(*.f64 (neg.f64 s) (log.f64 (fma.f64 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 2) -1)) -1)))
▶	0.4b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))
	0.5b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))
▶	0.3b	(*.f64 (neg.f64 s) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))
✓	0.4b	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
	54.7b	(.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (.f64 4 (fma.f64 (.f64 (PI.f64) -1/2) u (.f64 (PI.f64) 1/4))) s))))
	0.4b	(.f64 (neg.f64 s) (log.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
	63.9b	(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
▶	0.4b	(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))
▶	60.6b	(*.f64 (neg.f64 s) (log.f64 1))
▶	0.6b	(.f64 (neg.f64 s) (cbrt.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2))))
	0.9b	(.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)) (neg.f64 s)))
	37.6b	(cbrt.f64 (pow.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3))

Compiler

Compiled 2343 to 1138 computations (51.4% saved)

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1)
✓	0.3b	(/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))
✓	0.3b	(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))
✓	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 633 to 94 computations (85.2% saved)

series3.2s (2.2%)

Counts

4 → 20

Calls

21 calls:

Time	Variable		Point	Expression
56.0ms	s	@	inf	(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))
42.0ms	s	@	0	(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))
40.0ms	s	@	-inf	(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))
29.0ms	u	@	0	(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))
12.0ms	s	@	0	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 273290 to 223555 computations (18.2% saved)

rewrite2.1s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`egg-rr`
82×	`egg-rr`
45×	`egg-rr`
34×	`egg-rr`

Counts

4 → 253

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))
(pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)) (+.f64 0 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) 0))) (-.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)) (.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) (+.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2))) (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)) (neg.f64 (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) 0) (/.f64 1 (/.f64 1 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 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simplify7.3s (5%)

Algorithm

1×

egglog

Counts

273 → 375

Calls

Call 1

Inputs
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(pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1)
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(if (!=.f64 1 0) (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1))
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Outputs
-1
-1
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(if (!=.f64 (+.f64 (pow.f64 (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) 0) (.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 2)) (+.f64 (pow.f64 (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 3) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))) -3))) (+.f64 (pow.f64 (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1))
(if (!=.f64 (+.f64 (pow.f64 (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) 0) (/.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 2) -1) (+.f64 (pow.f64 (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))) (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) (+.f64 (pow.f64 (.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 3) (exp.f64 (*.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))) -3)))) (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1))

localize6.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

localize53.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))
✓	0.5b	(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))
✓	0.7b	(pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3)

Compiler

Compiled 295 to 55 computations (81.4% saved)

series2.8s (1.9%)

Counts

3 → 22

Calls

18 calls:

Time	Variable		Point	Expression
54.0ms	s	@	0	(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))
43.0ms	s	@	-inf	(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))
31.0ms	u	@	0	(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))
25.0ms	s	@	inf	(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))
18.0ms	s	@	inf	(pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3)

Compiler

Compiled 248995 to 206970 computations (16.9% saved)

rewrite2.3s (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`egg-rr`
55×	`egg-rr`
37×	`egg-rr`

Counts

3 → 168

Calls

Call 1

Inputs
(pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3)
(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))
(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))

Inputs

(pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3)

(cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))

(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 2)) (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 -1 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 3)) 3) (/.f64 1 (pow.f64 (+.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 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Outputs

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simplify6.6s (4.6%)

Algorithm

1×

egglog

Counts

190 → 241

Calls

Call 1

Inputs
-1
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Outputs
-1
-1
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(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))
(+.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 0) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))

localize114.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))
	0.7b	(pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3)
✓	2.1b	(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)

Compiler

Compiled 299 to 59 computations (80.3% saved)

series1.8s (1.3%)

Counts

2 → 14

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	u	@	0	(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)
10.0ms	s	@	inf	(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)
9.0ms	s	@	-inf	(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)
7.0ms	u	@	inf	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))
7.0ms	s	@	-inf	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))

Compiler

Compiled 194815 to 162395 computations (16.6% saved)

rewrite2.0s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

55×	`egg-rr`
37×	`egg-rr`

Counts

2 → 92

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)
(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))

Inputs

(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)

(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (-.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 2))) (/.f64 -1 (cbrt.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) (+.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 2))) (-.f64 1 (/.f64 -1 (cbrt.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) (+.f64 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 3)) (/.f64 1 (+.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3))) (/.f64 1 (+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 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Outputs

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simplify5.1s (3.5%)

Algorithm

1×

egglog

Counts

106 → 141

Calls

Call 1

Inputs
(cbrt.f64 -1)
(cbrt.f64 -1)
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(pow.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 1)
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(+.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 0) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))

Outputs
(cbrt.f64 -1)
-1
(cbrt.f64 -1)
-1
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(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
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(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(neg.f64 (-.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
(neg.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 1))
(-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)
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(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))

localize107.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2))
✓	0.5b	(cbrt.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)))
✓	0.5b	(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 418 to 79 computations (81.1% saved)

series2.5s (1.7%)

Counts

3 → 12

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	u	@	0	(cbrt.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)))
26.0ms	s	@	0	(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)
23.0ms	s	@	inf	(cbrt.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)))
23.0ms	u	@	-inf	(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)
22.0ms	s	@	-inf	(cbrt.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)))

Compiler

Compiled 237495 to 198110 computations (16.6% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

24×	`egg-rr`
18×	`egg-rr`
15×	`egg-rr`

Counts

3 → 57

Calls

Call 1

Inputs

(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)

(cbrt.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2)))

(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) (*.f64 1 (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) -1) (*.f64 (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 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simplify3.3s (2.3%)

Algorithm

1×

egglog

Counts

69 → 87

Calls

Call 1

Inputs
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(*.f64 1 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3))
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Outputs
(+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (log.f64 2))) (PI.f64))) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 (log.f64 2))) (PI.f64)))) u) (pow.f64 (exp.f64 (neg.f64 (log.f64 2))) 2)) (.f64 -1/2 (/.f64 (.f64 (exp.f64 (neg.f64 (log.f64 2))) (PI.f64)) (pow.f64 (exp.f64 (neg.f64 (log.f64 2))) 2)))) (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))) (.f64 s (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1)))) (pow.f64 (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1)) 2))
(fma.f64 -2 (/.f64 (.f64 (log.f64 (expm1.f64 (log.f64 2))) (/.f64 (fma.f64 (.f64 -1/2 (PI.f64)) u (.f64 1/4 (PI.f64))) 1/4)) (.f64 s (-.f64 1 2))) (pow.f64 (log.f64 (expm1.f64 (log.f64 2))) 2))
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(.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2) 2)))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(*.f64 -1 (neg.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(*.f64 1 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1)
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(/.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1)
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 3) 1/3)
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1)
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 3))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(neg.f64 (*.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) -1))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(neg.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(neg.f64 (*.f64 1 (neg.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3))))
(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)
(if (!=.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) -1)) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3))
(if (!=.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3) 0) (pow.f64 (pow.f64 (/.f64 1 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 3) -1) (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3))

eval5.9s (4.1%)

Compiler: Compiled 321995 to 174681 computations (45.8% saved)

prune590.0ms (0.4%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1637	11	1648
Fresh	8	7	15
Picked	1	0	1
Done	2	3	5
Total	1648	21	1669

Error

0.1b

Counts

1669 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 -1 (/.f64 1 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s))) (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	60.1b	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3) 1/3)
▶	1.5b	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)
	0.9b	(.f64 (.f64 (neg.f64 s) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)))
	27.8b	(.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
	37.7b	(*.f64 (neg.f64 (cbrt.f64 (pow.f64 s 3))) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
	4.6b	(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1/3))
	1.3b	(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3))
	0.9b	(.f64 (neg.f64 s) (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
✓	0.4b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))
	0.5b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))
	0.5b	(*.f64 (neg.f64 s) (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) -1) 1) (+.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 3)))))
▶	0.3b	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
✓	0.4b	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
	54.7b	(.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (.f64 4 (fma.f64 (.f64 (PI.f64) -1/2) u (.f64 (PI.f64) 1/4))) s))))
	0.4b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
▶	63.9b	(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
✓	60.6b	(*.f64 (neg.f64 s) (log.f64 1))
▶	0.6b	(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))
	0.9b	(.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)) (neg.f64 s)))
	37.6b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3))

Compiler

Compiled 1867 to 1021 computations (45.3% saved)

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (PI.f64) (neg.f64 s))
	0.2b	(/.f64 (PI.f64) s)
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 324 to 32 computations (90.1% saved)

series493.0ms (0.3%)

Counts

2 → 18

Calls

9 calls:

Time	Variable		Point	Expression
126.0ms	s	@	0	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
11.0ms	s	@	inf	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
9.0ms	s	@	-inf	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
7.0ms	u	@	inf	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
6.0ms	u	@	0	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))

Compiler

Compiled 50105 to 39600 computations (21% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`egg-rr`
39×	`egg-rr`

Counts

2 → 79

Calls

Call 1

Inputs

(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))

(/.f64 (PI.f64) (neg.f64 s))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))) (cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 2)) (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) 2)) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 s) (cbrt.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 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simplify3.6s (2.5%)

Algorithm

1×

egglog

Counts

97 → 100

Calls

Call 1

Inputs
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(+.f64 (.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) 0) (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))))
(*.f64 (/.f64 -1 s) (PI.f64))
(*.f64 (PI.f64) (/.f64 -1 s))
(*.f64 -1 (/.f64 (PI.f64) s))
(*.f64 (cbrt.f64 (pow.f64 s -1)) (neg.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 s 2)))))
(*.f64 (/.f64 (PI.f64) s) -1)
(*.f64 (/.f64 -1 (cbrt.f64 s)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))
(.f64 (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) s))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 s 2))))
(*.f64 1 (/.f64 (PI.f64) (neg.f64 s)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) s))))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) s))
(.f64 (cbrt.f64 (PI.f64)) (neg.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s)))
(.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s))
(*.f64 (neg.f64 (PI.f64)) (pow.f64 s -1))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (cbrt.f64 (/.f64 (PI.f64) s)))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 s 2))))
(*.f64 (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s))) (/.f64 1 (cbrt.f64 (pow.f64 s 2))))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) 1)
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) s))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))
(*.f64 (pow.f64 s -1) (neg.f64 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))))
(-.f64 0 (/.f64 (PI.f64) s))
(-.f64 (/.f64 0 s) (/.f64 (PI.f64) s))
(/.f64 (PI.f64) (neg.f64 s))
(/.f64 (neg.f64 (PI.f64)) s)
(/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (neg.f64 (/.f64 (PI.f64) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (/.f64 (PI.f64) (neg.f64 s)) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (neg.f64 s)) 3) 1/3)
(pow.f64 (/.f64 (PI.f64) (neg.f64 s)) 1)
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (neg.f64 s)) 3))
(neg.f64 (/.f64 (PI.f64) s))
(if (!=.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 s (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (PI.f64) (neg.f64 s)))
(if (!=.f64 (PI.f64) 0) (/.f64 -1 (/.f64 s (PI.f64))) (/.f64 (PI.f64) (neg.f64 s)))
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Outputs
(.f64 -1 (.f64 s (log.f64 (*.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (log.f64 2))) 1) (exp.f64 (neg.f64 (log.f64 2))))))))
(*.f64 (neg.f64 s) (log.f64 (neg.f64 (-.f64 1 2))))
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(/.f64 (PI.f64) (neg.f64 s))
(.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 s 2)))))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (/.f64 (PI.f64) s) -1)
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (/.f64 -1 (cbrt.f64 s)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) (neg.f64 s))
(.f64 (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s))
(/.f64 (PI.f64) (neg.f64 s))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) s))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 s 2))))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 1 (/.f64 (PI.f64) (neg.f64 s)))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (neg.f64 (cbrt.f64 (/.f64 (PI.f64) s))))
(/.f64 (PI.f64) (neg.f64 s))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) s))
(/.f64 (PI.f64) (neg.f64 s))
(.f64 (cbrt.f64 (PI.f64)) (neg.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s)))
(/.f64 (PI.f64) (neg.f64 s))
(.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (neg.f64 (PI.f64)) (pow.f64 s -1))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (cbrt.f64 (/.f64 (PI.f64) s)))
(/.f64 (PI.f64) (neg.f64 s))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 s 2))))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s))) (/.f64 1 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) 1)
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (PI.f64) s))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (pow.f64 s -1) (neg.f64 (PI.f64)))
(/.f64 (PI.f64) (neg.f64 s))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))))
(/.f64 (PI.f64) (neg.f64 s))
(-.f64 0 (/.f64 (PI.f64) s))
(/.f64 (PI.f64) (neg.f64 s))
(-.f64 (/.f64 0 s) (/.f64 (PI.f64) s))
(/.f64 (PI.f64) (neg.f64 s))
(/.f64 (PI.f64) (neg.f64 s))
(/.f64 (neg.f64 (PI.f64)) s)
(/.f64 (PI.f64) (neg.f64 s))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) (neg.f64 s))
(/.f64 (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (PI.f64) (neg.f64 s))
(/.f64 (neg.f64 (/.f64 (PI.f64) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (PI.f64) (neg.f64 s))
(/.f64 (/.f64 (PI.f64) (neg.f64 s)) 1)
(/.f64 (PI.f64) (neg.f64 s))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) 3)
(/.f64 (PI.f64) (neg.f64 s))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (neg.f64 s)) 3) 1/3)
(/.f64 (PI.f64) (neg.f64 s))
(pow.f64 (/.f64 (PI.f64) (neg.f64 s)) 1)
(/.f64 (PI.f64) (neg.f64 s))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (neg.f64 s)) 3))
(/.f64 (PI.f64) (neg.f64 s))
(neg.f64 (/.f64 (PI.f64) s))
(/.f64 (PI.f64) (neg.f64 s))
(if (!=.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 s (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (PI.f64) (neg.f64 s)))
(if (!=.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 s (cbrt.f64 (neg.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (PI.f64) (neg.f64 s)))
(if (!=.f64 (PI.f64) 0) (/.f64 -1 (/.f64 s (PI.f64))) (/.f64 (PI.f64) (neg.f64 s)))
(if (!=.f64 (/.f64 (PI.f64) (neg.f64 s)) 0) (/.f64 1 (pow.f64 (/.f64 (PI.f64) (neg.f64 s)) -1)) (/.f64 (PI.f64) (neg.f64 s)))
(if (!=.f64 (/.f64 (PI.f64) (neg.f64 s)) 0) (pow.f64 (/.f64 -1 (/.f64 (PI.f64) s)) -1) (/.f64 (PI.f64) (neg.f64 s)))

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
✓	0.0b	(exp.f64 (/.f64 (PI.f64) s))
	0.2b	(/.f64 (PI.f64) s)
✓	0.7b	(log.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series12.0ms (0%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	s	@	inf	(exp.f64 (/.f64 (PI.f64) s))
0.0ms	s	@	-inf	(exp.f64 (/.f64 (PI.f64) s))
0.0ms	s	@	0	(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
0.0ms	s	@	0	(log.f64 (exp.f64 (/.f64 (PI.f64) s)))
0.0ms	s	@	inf	(log.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 925 to 545 computations (41.1% saved)

rewrite1.8s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

143×	`egg-rr`
119×	`egg-rr`
87×	`egg-rr`

Counts

3 → 349

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 (PI.f64) s)))
(exp.f64 (/.f64 (PI.f64) s))
(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (/.f64 1 (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) s) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (/.f64 (PI.f64) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 s -1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) s) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (PI.f64)) s) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))) (cbrt.f64 (pow.f64 s -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 s 2))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) s)) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (PI.f64) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 s 2))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64))) (neg.f64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (PI.f64)) (neg.f64 s)) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (neg.f64 s)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 s) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 s)) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) s) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 s 2))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 s 2))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 -1 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (neg.f64 (PI.f64))) s) (cbrt.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (pow.f64 s -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 s -1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 s)) (/.f64 (PI.f64) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 0 (neg.f64 s)) 1) (/.f64 (PI.f64) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 0 (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (PI.f64) (neg.f64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 3 (/.f64 (PI.f64) (neg.f64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (PI.f64) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))) (cbrt.f64 s))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (neg.f64 (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 s))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (neg.f64 (PI.f64)))) (neg.f64 (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (cbrt.f64 (pow.f64 s 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 s 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 (cbrt.f64 s))) (neg.f64 (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 s 2))) (neg.f64 (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s)) (neg.f64 (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (neg.f64 s))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (pow.f64 s 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 s -1)) (PI.f64)) (cbrt.f64 (pow.f64 s 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 s 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (neg.f64 s)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) s) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 3) s) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) s) (neg.f64 (pow.f64 s 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (neg.f64 (cbrt.f64 (pow.f64 s 2)))) (*.f64 (neg.f64 s) (/.f64 (PI.f64) (cbrt.f64 s)))) (*.f64 (neg.f64 s) (neg.f64 (cbrt.f64 (pow.f64 s 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (cbrt.f64 (pow.f64 s 2))) (*.f64 (neg.f64 s) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s)))) (*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (neg.f64 s) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))) (*.f64 (neg.f64 s) (neg.f64 (cbrt.f64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (neg.f64 (cbrt.f64 (pow.f64 s 2)))) (/.f64 (PI.f64) (cbrt.f64 s))) (neg.f64 (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (cbrt.f64 (pow.f64 s 2))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (neg.f64 (cbrt.f64 (pow.f64 s 2)))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 0 (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (cbrt.f64 s))) (neg.f64 (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 s 2)))) (cbrt.f64 s))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) (cbrt.f64 s)))) (cbrt.f64 (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (pow.f64 (/.f64 (PI.f64) s) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 s 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) s) 2))) (neg.f64 (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (neg.f64 (PI.f64)))) (neg.f64 (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify5.8s (4%)

Algorithm

1×

egglog

Counts

369 → 406

Calls

Call 1

Inputs
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
1
(+.f64 1 (/.f64 (PI.f64) s))
(+.f64 1 (+.f64 (/.f64 (PI.f64) s) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2)))))
(+.f64 1 (+.f64 (/.f64 (PI.f64) s) (+.f64 (.f64 1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 s) 3))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))))))
1
(+.f64 1 (/.f64 (PI.f64) s))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (*.f64 -1 (PI.f64)) 2))) (+.f64 1 (/.f64 (PI.f64) s)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (.f64 -1 (PI.f64)) 2))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 3) (pow.f64 (/.f64 -1 s) 3))) (/.f64 (PI.f64) s))))
(*.f64 1 (/.f64 (PI.f64) s))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (/.f64 1 (cbrt.f64 (pow.f64 s 2))))
(*.f64 (/.f64 (PI.f64) s) 1)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (cbrt.f64 s)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (/.f64 (PI.f64) s)))
(*.f64 (cbrt.f64 (pow.f64 s -1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))
(.f64 (.f64 (/.f64 (PI.f64) s) 1/2) 2)
(*.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) s) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))) (cbrt.f64 (pow.f64 s -1)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) s))
(.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 s)))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 s 2))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) s)))
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(fma.f64 1 0 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(fma.f64 -1 0 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(fma.f64 (/.f64 (PI.f64) s) 0 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(pow.f64 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)) 3))
(neg.f64 (/.f64 (*.f64 (PI.f64) s) s))
(neg.f64 (*.f64 (/.f64 (neg.f64 s) (cbrt.f64 (pow.f64 s 2))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s))))
(neg.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s)))
(neg.f64 (.f64 (neg.f64 (cbrt.f64 s)) (/.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (PI.f64)) (neg.f64 s))))
(neg.f64 (*.f64 (PI.f64) (/.f64 s s)))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (.f64 (/.f64 (PI.f64) (neg.f64 s)) (neg.f64 (cbrt.f64 s)))))
(if (!=.f64 (/.f64 (.f64 (PI.f64) s) s) 0) (/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2)) (/.f64 (.f64 (PI.f64) s) s)) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (neg.f64 s) 0) (/.f64 (PI.f64) (/.f64 s (neg.f64 s))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 s (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (/.f64 s (/.f64 s (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (neg.f64 s) 0) (/.f64 (neg.f64 (PI.f64)) (/.f64 s s)) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (/.f64 (.f64 (PI.f64) s) s) 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 3) (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2)) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2) 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 3) (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2)) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 3) (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2)) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 0) (/.f64 1 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) -1)) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2) (.f64 0 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 0))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2) (.f64 0 (/.f64 (.f64 (PI.f64) s) (neg.f64 s))))) 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2) (.f64 0 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))))) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2) (.f64 0 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))))) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(+.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) (.f64 0 (/.f64 (PI.f64) (neg.f64 s))))
(+.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) (.f64 (/.f64 (PI.f64) (neg.f64 s)) 0))
(+.f64 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)) 0)
(+.f64 0 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (.f64 (cbrt.f64 (/.f64 (PI.f64) s)) s)))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) s) s))))
(+.f64 0 (.f64 (/.f64 -1 s) (.f64 (PI.f64) s)))
(+.f64 0 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (PI.f64)) (neg.f64 s)) (cbrt.f64 s)))
(+.f64 (.f64 0 (/.f64 s s)) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(+.f64 (.f64 0 (/.f64 (PI.f64) (neg.f64 s))) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(+.f64 (.f64 0 (cbrt.f64 (/.f64 (PI.f64) s))) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(+.f64 (.f64 (/.f64 s s) 0) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(+.f64 (.f64 (/.f64 (PI.f64) (neg.f64 s)) 0) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(+.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) s)) 0) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))

Outputs
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
(/.f64 (PI.f64) s)
1
(+.f64 1 (/.f64 (PI.f64) s))
(+.f64 1 (+.f64 (/.f64 (PI.f64) s) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2)))))
(fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (+.f64 1 (/.f64 (PI.f64) s)))
(+.f64 1 (+.f64 (/.f64 (PI.f64) s) (+.f64 (.f64 1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 s) 3))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))))))
(fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (PI.f64) s) 3) (/.f64 (PI.f64) s)) -1))
1
(+.f64 1 (/.f64 (PI.f64) s))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (*.f64 -1 (PI.f64)) 2))) (+.f64 1 (/.f64 (PI.f64) s)))
(fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (+.f64 1 (/.f64 (PI.f64) s)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (.f64 -1 (PI.f64)) 2))) (+.f64 1 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 3) (pow.f64 (/.f64 -1 s) 3))) (/.f64 (PI.f64) s))))
(fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (PI.f64) s) 3) (/.f64 (PI.f64) s)) -1))
(*.f64 1 (/.f64 (PI.f64) s))
(/.f64 (PI.f64) s)
(*.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (/.f64 1 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) s)
(*.f64 (/.f64 (PI.f64) s) 1)
(/.f64 (PI.f64) s)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (cbrt.f64 s)))
(/.f64 (PI.f64) s)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (/.f64 (PI.f64) s)))
(/.f64 (PI.f64) s)
(*.f64 (cbrt.f64 (pow.f64 s -1)) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 s -1)) (PI.f64)) (cbrt.f64 (pow.f64 s 2)))
(.f64 (.f64 (/.f64 (PI.f64) s) 1/2) 2)
(/.f64 (PI.f64) s)
(*.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))
(/.f64 (PI.f64) s)
(.f64 (/.f64 (cbrt.f64 (PI.f64)) s) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (PI.f64) s)
(*.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))) (cbrt.f64 (pow.f64 s -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 s -1)) (PI.f64)) (cbrt.f64 (pow.f64 s 2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) s))
(/.f64 (PI.f64) s)
(.f64 (cbrt.f64 (neg.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (neg.f64 s)))
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (PI.f64)) 3)) (neg.f64 s))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 s 2))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) s)))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (pow.f64 s 2)) (/.f64 (.f64 (PI.f64) (PI.f64)) s)))
(.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) s)) (cbrt.f64 (/.f64 (PI.f64) (pow.f64 s 2))))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (pow.f64 s 2)) (/.f64 (.f64 (PI.f64) (PI.f64)) s)))
(*.f64 -1 (/.f64 (PI.f64) (neg.f64 s)))
(/.f64 (PI.f64) s)
(.f64 (cbrt.f64 (/.f64 (PI.f64) (pow.f64 s 2))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (neg.f64 (PI.f64))) (neg.f64 s))))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (pow.f64 s 2)) (/.f64 (.f64 (PI.f64) (PI.f64)) s)))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) (neg.f64 s)) (cbrt.f64 (.f64 (PI.f64) (neg.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (.f64 (PI.f64) (neg.f64 (.f64 (PI.f64) (PI.f64))))) (neg.f64 s))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) -1)
(/.f64 (PI.f64) s)
(*.f64 (/.f64 -1 s) (neg.f64 (PI.f64)))
(/.f64 (PI.f64) s)
(*.f64 (/.f64 -1 (cbrt.f64 s)) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) s)
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s) (cbrt.f64 (PI.f64)))
(/.f64 (PI.f64) s)
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (neg.f64 (PI.f64)) s) 3)))
(.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 s 2))) (cbrt.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (neg.f64 s))))
(cbrt.f64 (.f64 (/.f64 (neg.f64 (PI.f64)) (pow.f64 s 2)) (/.f64 (neg.f64 (.f64 (PI.f64) (PI.f64))) s)))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 s 2))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s)))
(/.f64 (PI.f64) s)
(*.f64 (neg.f64 (PI.f64)) (/.f64 -1 s))
(/.f64 (PI.f64) s)
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s))
(/.f64 (PI.f64) s)
(.f64 (/.f64 (cbrt.f64 (neg.f64 (PI.f64))) s) (cbrt.f64 (.f64 (PI.f64) (neg.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (.f64 (neg.f64 (PI.f64)) (neg.f64 (.f64 (PI.f64) (PI.f64))))) s)
(*.f64 (PI.f64) (pow.f64 s -1))
(/.f64 (PI.f64) s)
(.f64 (/.f64 (.f64 (PI.f64) 3) s) 1/3)
(/.f64 (.f64 3 (PI.f64)) (.f64 3 s))
(*.f64 (pow.f64 s -1) (PI.f64))
(/.f64 (PI.f64) s)
(-.f64 (/.f64 0 (neg.f64 s)) (/.f64 (PI.f64) (neg.f64 s)))
(/.f64 (PI.f64) s)
(-.f64 (/.f64 (/.f64 0 (neg.f64 s)) 1) (/.f64 (PI.f64) (neg.f64 s)))
(/.f64 (PI.f64) s)
(-.f64 (/.f64 (/.f64 0 (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (neg.f64 s)))
(/.f64 (PI.f64) s)
(-.f64 1 (+.f64 1 (/.f64 (PI.f64) (neg.f64 s))))
(/.f64 (PI.f64) s)
(-.f64 3 (+.f64 3 (/.f64 (PI.f64) (neg.f64 s))))
(/.f64 (PI.f64) s)
(-.f64 0 (/.f64 (PI.f64) (neg.f64 s)))
(/.f64 (PI.f64) s)
(log.f64 (exp.f64 (/.f64 (PI.f64) s)))
(/.f64 (PI.f64) s)
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))) (cbrt.f64 s))
(/.f64 (PI.f64) s)
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (neg.f64 (cbrt.f64 s)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (neg.f64 (PI.f64)))) (neg.f64 (cbrt.f64 s)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 s))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (PI.f64)) s))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (cbrt.f64 (neg.f64 (PI.f64)))) (neg.f64 (cbrt.f64 s)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (neg.f64 (PI.f64)))) (neg.f64 (cbrt.f64 s)))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (cbrt.f64 (pow.f64 s 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 s 2)) 2)))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (*.f64 s (cbrt.f64 (pow.f64 s 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 s 2)) 2)))
(/.f64 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 (cbrt.f64 s))) (neg.f64 (cbrt.f64 s)))
(/.f64 (PI.f64) s)
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 s 2))) (neg.f64 (cbrt.f64 s)))
(/.f64 (PI.f64) s)
(/.f64 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s)) (neg.f64 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) s)
(/.f64 (neg.f64 (PI.f64)) (neg.f64 s))
(/.f64 (PI.f64) s)
(/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (PI.f64) s)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 s -1)) (PI.f64)) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) s)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 s 2)))
(cbrt.f64 (/.f64 (.f64 (/.f64 (PI.f64) s) (.f64 (PI.f64) (PI.f64))) (pow.f64 s 2)))
(/.f64 (/.f64 (PI.f64) (neg.f64 s)) -1)
(/.f64 (PI.f64) s)
(/.f64 (/.f64 (PI.f64) s) 1)
(/.f64 (PI.f64) s)
(/.f64 (/.f64 (*.f64 (PI.f64) 3) s) 3)
(/.f64 (.f64 3 (PI.f64)) (.f64 3 s))
(/.f64 (*.f64 (neg.f64 (PI.f64)) s) (neg.f64 (pow.f64 s 2)))
(/.f64 (PI.f64) s)
(/.f64 (-.f64 (.f64 0 (neg.f64 (cbrt.f64 (pow.f64 s 2)))) (.f64 (neg.f64 s) (/.f64 (PI.f64) (cbrt.f64 s)))) (*.f64 (neg.f64 s) (neg.f64 (cbrt.f64 (pow.f64 s 2)))))
(/.f64 (/.f64 (.f64 (PI.f64) s) (cbrt.f64 s)) (.f64 s (cbrt.f64 (pow.f64 s 2))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (pow.f64 s 2))) (.f64 (neg.f64 s) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s)))) (*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 s 2))))
(/.f64 (/.f64 (.f64 (PI.f64) s) (cbrt.f64 s)) (.f64 s (cbrt.f64 (pow.f64 s 2))))
(/.f64 (-.f64 0 (.f64 (neg.f64 s) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))) (.f64 (neg.f64 s) (neg.f64 (cbrt.f64 s))))
(/.f64 (/.f64 (.f64 (PI.f64) s) (cbrt.f64 (pow.f64 s 2))) (.f64 s (cbrt.f64 s)))
(/.f64 (-.f64 (*.f64 0 (neg.f64 (cbrt.f64 (pow.f64 s 2)))) (/.f64 (PI.f64) (cbrt.f64 s))) (neg.f64 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) s)
(/.f64 (-.f64 (*.f64 0 (cbrt.f64 (pow.f64 s 2))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (PI.f64) s)
(/.f64 (-.f64 (*.f64 0 (neg.f64 (cbrt.f64 (pow.f64 s 2)))) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (PI.f64) s)
(/.f64 (-.f64 (*.f64 0 (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (cbrt.f64 s))) (neg.f64 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (PI.f64) s)
(/.f64 (-.f64 0 (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 s 2)))) (cbrt.f64 s))
(/.f64 (PI.f64) s)
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) (cbrt.f64 s)))) (cbrt.f64 (cbrt.f64 (pow.f64 s 2))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (pow.f64 (/.f64 (PI.f64) s) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 s 2))))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2))))
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(if (!=.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2) 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 3) (neg.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2))) (/.f64 (neg.f64 (.f64 (PI.f64) s)) s))
(if (!=.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2) (.f64 0 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))))) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(if (!=.f64 (/.f64 (neg.f64 (.f64 (PI.f64) s)) s) 0) (/.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 3) (neg.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2))) (/.f64 (neg.f64 (.f64 (PI.f64) s)) s))
(+.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) (.f64 0 (/.f64 (PI.f64) (neg.f64 s))))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 (/.f64 (.f64 (PI.f64) s) (neg.f64 s)) (.f64 (/.f64 (PI.f64) (neg.f64 s)) 0))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)) 0)
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 0 (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (.f64 (cbrt.f64 (/.f64 (PI.f64) s)) s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (PI.f64) s) s) 2))) (cbrt.f64 (/.f64 (*.f64 (PI.f64) s) s))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) s) s) 3)))
(+.f64 0 (.f64 (/.f64 -1 s) (.f64 (PI.f64) s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 0 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (PI.f64)) (neg.f64 s)) (cbrt.f64 s)))
(/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (PI.f64)) (cbrt.f64 s)) (neg.f64 s))
(+.f64 (.f64 0 (/.f64 s s)) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 (.f64 0 (/.f64 (PI.f64) (neg.f64 s))) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 (.f64 0 (cbrt.f64 (/.f64 (PI.f64) s))) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 (.f64 (/.f64 s s) 0) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 (.f64 (/.f64 (PI.f64) (neg.f64 s)) 0) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)
(+.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) s)) 0) (/.f64 (.f64 (PI.f64) s) (neg.f64 s)))
(/.f64 (neg.f64 (*.f64 (PI.f64) s)) s)

localize59.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))
✓	0.7b	(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)

Compiler

Compiled 295 to 55 computations (81.4% saved)

series4.0s (2.8%)

Counts

3 → 6

Calls

18 calls:

Time	Variable		Point	Expression
56.0ms	s	@	-inf	(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))
47.0ms	s	@	inf	(cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3))
34.0ms	u	@	0	(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))
31.0ms	s	@	inf	(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))
19.0ms	s	@	-inf	(cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3))

Compiler

Compiled 345600 to 291430 computations (15.7% saved)

rewrite1.7s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

39×	`egg-rr`
16×	`egg-rr`
13×	`egg-rr`

Counts

3 → 68

Calls

Call 1

Inputs

(pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)

(cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3))

(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))))) (#(struct:change #<rule 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simplify3.0s (2%)

Algorithm

1×

egglog

Counts

74 → 91

Calls

Call 1

Inputs
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Outputs
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(if (!=.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2)) (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))) (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) 0) (/.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))))) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2)) (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))) (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))))) (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2)) (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))) (*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))
(+.f64 (.f64 0 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
(+.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 0) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
(+.f64 0 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))

localize53.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))
✓	0.6b	(cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)

Compiler

Compiled 294 to 51 computations (82.7% saved)

series13.9s (9.6%)

Counts

3 → 6

Calls

18 calls:

Time	Variable		Point	Expression
595.0ms	s	@	inf	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)
591.0ms	s	@	-inf	(cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
502.0ms	s	@	inf	(cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
427.0ms	s	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)
32.0ms	u	@	0	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)

Compiler

Compiled 983485 to 859990 computations (12.6% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

43×	`egg-rr`
43×	`egg-rr`
16×	`egg-rr`

Counts

3 → 102

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)

(cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))

(*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))

Outputs

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simplify3.6s (2.5%)

Algorithm

1×

egglog

Counts

108 → 80

Calls

Call 1

Inputs
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
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(if (!=.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 0) (/.f64 1 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) -1)) (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
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(if (!=.f64 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 0) (/.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))))) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
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Outputs
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
(*.f64 (neg.f64 s) (log.f64 (expm1.f64 (log.f64 2))))
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(+.f64 (/.f64 (/.f64 (.f64 (.f64 1/2 (PI.f64)) u) (expm1.f64 (log.f64 2))) 1/4) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 -2 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 1/2 (-.f64 (fma.f64 -1/2 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) 2)) (fma.f64 -1/2 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) 2)))) u (.f64 (fma.f64 -1/2 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 1/4 (.f64 (PI.f64) (PI.f64))) 2)) 1/2)) 1/4) (/.f64 (.f64 (/.f64 (fma.f64 (.f64 -1/2 (PI.f64)) u (.f64 1/4 (PI.f64))) 1/4) (fma.f64 (.f64 1/2 (PI.f64)) u (neg.f64 (.f64 1/4 (PI.f64))))) -1/2)) (expm1.f64 (log.f64 2)))) (pow.f64 (/.f64 (/.f64 (fma.f64 (.f64 -1/2 (PI.f64)) u (.f64 1/4 (PI.f64))) 1/4) (expm1.f64 (log.f64 2))) 2)) s) (-.f64 (/.f64 (.f64 1/4 (PI.f64)) (.f64 1/4 (-.f64 1 2))) (*.f64 s (log.f64 (expm1.f64 (log.f64 2)))))))
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(if (!=.f64 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 0) (/.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))))) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 0) (/.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) 0) (/.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))))) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2) 0) (/.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2) (.f64 0 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))))) (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 2) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))) (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
(+.f64 0 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))
(+.f64 (.f64 0 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))
(+.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 0) (.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))

localize115.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (/.f64 1 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)))
✓	0.3b	(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))
✓	0.3b	(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 467 to 93 computations (80.1% saved)

series675.0ms (0.5%)

Counts

3 → 18

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	s	@	-inf	(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)
6.0ms	s	@	inf	(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)
2.0ms	s	@	-inf	(/.f64 -1 (/.f64 1 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)))
2.0ms	u	@	0	(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)
2.0ms	s	@	-inf	(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))

Compiler

Compiled 78900 to 65055 computations (17.5% saved)

rewrite1.7s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

46×	`egg-rr`
38×	`egg-rr`
35×	`egg-rr`

Counts

3 → 119

Calls

Call 1

Inputs

(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)

(*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s))

(/.f64 -1 (/.f64 1 (*.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s)))

Outputs

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simplify3.9s (2.7%)

Algorithm

1×

egglog

Counts

137 → 171

Calls

Call 1

Inputs
(*.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1)))
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(/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) 2)))
(/.f64 (pow.f64 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) -1)
(/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1)) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) 2))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) 3) -1) 1/3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1)) 3)
(pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) 3) -1))
(neg.f64 (pow.f64 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) -1)) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 -1 0) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 1 0) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 s 0) (*.f64 (/.f64 -1 (/.f64 1 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) s) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) 0) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) s) 2)) 0) (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) s) 2))) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) 0) (*.f64 (/.f64 -1 (pow.f64 s -1)) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (.f64 s (neg.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) 0) (.f64 s (neg.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (neg.f64 s) 0) (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) (neg.f64 s)) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 s 2)) 0) (*.f64 (/.f64 -1 (/.f64 (/.f64 1 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2))) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) s) 0) (.f64 s (neg.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))

Outputs
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(if (!=.f64 (.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) s) 0) (.f64 s (neg.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1))
(if (!=.f64 (.f64 s (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) 0) (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))))

eval2.7s (1.8%)

Compiler: Compiled 170452 to 68702 computations (59.7% saved)

prune821.0ms (0.6%)

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1959	29	1988
Fresh	9	4	13
Picked	1	0	1
Done	2	5	7
Total	1971	38	2009

Error

0.0b

Counts

2009 → 38

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (/.f64 1 (pow.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1)) (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
	0.4b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (if (!=.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 0) (/.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (/.f64 -1 s)) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	1.5b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (if (!=.f64 (cbrt.f64 (.f64 s s)) 0) (/.f64 (cbrt.f64 (.f64 s s)) (/.f64 (/.f64 -1 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) (cbrt.f64 s))) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	0.5b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (if (!=.f64 s 0) (/.f64 s (/.f64 -1 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	27.4b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) 2)) (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	0.5b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	0.9b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 -1 (/.f64 1 (.f64 (.f64 s (cbrt.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) 2))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	60.6b	(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 s (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
▶	60.1b	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)
	2.8b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) 3) 3)
	1.6b	(pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)
	1.5b	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))) 3)
	60.6b	(/.f64 (pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (PI.f64))) 3) s)
	60.6b	(/.f64 (*.f64 (neg.f64 (PI.f64)) s) s)
▶	60.6b	(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
	0.9b	(.f64 (.f64 (neg.f64 s) (cbrt.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))) (cbrt.f64 (pow.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) 2)))
	27.8b	(.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (*.f64 s s)))
	60.6b	(.f64 (.f64 (PI.f64) s) (/.f64 -1 s))
	37.7b	(*.f64 (neg.f64 (cbrt.f64 (pow.f64 s 3))) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
	62.3b	(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (/.f64 (PI.f64) s) 3) 1/3))
	4.6b	(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1/3))
	1.3b	(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3))
	60.6b	(.f64 (neg.f64 s) (/.f64 (/.f64 (.f64 (PI.f64) s) s) s))
	60.6b	(.f64 (neg.f64 s) (/.f64 (.f64 3 (PI.f64)) (*.f64 3 s)))
	60.6b	(.f64 (neg.f64 s) (.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3))
	60.6b	(.f64 (neg.f64 s) (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))
	59.2b	(*.f64 (neg.f64 s) (log.f64 (fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (+.f64 1 (/.f64 (PI.f64) s)))))
✓	0.4b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))
	0.5b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
✓	0.4b	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
	54.7b	(.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (.f64 4 (fma.f64 (.f64 (PI.f64) -1/2) u (.f64 (PI.f64) 1/4))) s))))
▶	54.6b	(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
	59.2b	(.f64 (neg.f64 s) (log.f64 (+.f64 1 (+.f64 (/.f64 (PI.f64) s) (.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2)))))))
▶	0.4b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
✓	60.6b	(*.f64 (neg.f64 s) (log.f64 1))
✓	0.6b	(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))
	37.6b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3))

Compiler

Compiled 3519 to 1765 computations (49.8% saved)

localize58.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (PI.f64) s)
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
✓	0.7b	(cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 327 to 63 computations (80.7% saved)

series1.5s (1%)

Counts

2 → 12

Calls

12 calls:

Time	Variable		Point	Expression
66.0ms	s	@	-inf	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
46.0ms	s	@	0	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
24.0ms	s	@	inf	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
23.0ms	u	@	0	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
19.0ms	u	@	-inf	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))

Compiler

Compiled 171700 to 139640 computations (18.7% saved)

rewrite1.7s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

66×	`egg-rr`
43×	`egg-rr`

Counts

2 → 109

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3))

(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))

Outputs

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simplify4.3s (3%)

Algorithm

1×

egglog

Counts

121 → 160

Calls

Call 1

Inputs
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(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 2) (.f64 0 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) s))))) (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
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Outputs
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(fma.f64 1/3 (/.f64 (.f64 3 (.f64 (fma.f64 (.f64 (PI.f64) 1/2) u (neg.f64 (.f64 1/4 (PI.f64)))) 1/4)) (.f64 s (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/4 1/2)) 2)))) (cbrt.f64 (*.f64 1/4 1/2)))
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(if (!=.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))) 2) 0) (/.f64 (neg.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))) 2)) (.f64 s (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)))) (.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 2) (.f64 0 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) s))))) (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (pow.f64 (.f64 s (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))) 2)) (.f64 s (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)))) (.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))))
(+.f64 0 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)))
(+.f64 (.f64 0 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)))
(+.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 0) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (PI.f64) (neg.f64 s))
✓	0.2b	(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)

Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	s	@	0	(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
0.0ms	s	@	inf	(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
0.0ms	s	@	-inf	(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)

Compiler

Compiled 195 to 140 computations (28.2% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

134× egg-rr

Counts

1 → 134

Calls

Call 1

Inputs
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)

Outputs

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simplify3.2s (2.2%)

Algorithm

1×

egglog

Counts

134 → 165

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2)) (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s)))
(*.f64 (/.f64 (neg.f64 (PI.f64)) s) s)
(*.f64 s (/.f64 (neg.f64 (PI.f64)) s))
(.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)) (.f64 (cbrt.f64 s) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) 2) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))))
(.f64 -1 (.f64 (/.f64 (PI.f64) s) s))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2)) 2)) (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s)))
(.f64 -1 (/.f64 (.f64 (PI.f64) s) s))
(.f64 -1 (.f64 (neg.f64 s) (/.f64 (neg.f64 (PI.f64)) s)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s) (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2)) 2)))
(.f64 (.f64 (*.f64 s (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) 2)))
(.f64 (.f64 (*.f64 s (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)))
(.f64 (.f64 s (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))
(.f64 (/.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) -1) -1)
(.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s))
(.f64 (.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 s)) (pow.f64 (cbrt.f64 (cbrt.f64 s)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 s 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) (.f64 s (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))))
(*.f64 (PI.f64) (/.f64 s (neg.f64 s)))
(.f64 (cbrt.f64 s) (.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))))
(.f64 (cbrt.f64 (cbrt.f64 s)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 s)) 2) (/.f64 (*.f64 (cbrt.f64 (pow.f64 s 2)) (neg.f64 (PI.f64))) s)))
(.f64 (cbrt.f64 (.f64 (PI.f64) s)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) s) 2)) (neg.f64 s)))
(.f64 (.f64 (PI.f64) (cbrt.f64 s)) (/.f64 (cbrt.f64 (pow.f64 s 2)) (neg.f64 s)))
(.f64 (neg.f64 (cbrt.f64 s)) (.f64 (neg.f64 (cbrt.f64 (pow.f64 s 2))) (/.f64 (neg.f64 (PI.f64)) s)))
(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (neg.f64 (PI.f64))) s) (cbrt.f64 s))
(*.f64 (/.f64 s (neg.f64 (cbrt.f64 s))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))))
(.f64 (.f64 s (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 s)))
(*.f64 (/.f64 s (neg.f64 s)) (PI.f64))
(.f64 (.f64 (/.f64 (*.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 s)) (cbrt.f64 s)) (cbrt.f64 s))
(.f64 (.f64 (/.f64 (neg.f64 (PI.f64)) s) (neg.f64 (cbrt.f64 s))) (neg.f64 (cbrt.f64 (pow.f64 s 2))))
(*.f64 (neg.f64 s) (/.f64 (PI.f64) s))
(.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)) (cbrt.f64 (pow.f64 (pow.f64 s 2) -1)))
(.f64 (cbrt.f64 (neg.f64 (PI.f64))) (.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) s) s))
(.f64 (cbrt.f64 s) (/.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (neg.f64 (PI.f64))) s))
(*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1) (neg.f64 s))
(.f64 (.f64 s (cbrt.f64 (neg.f64 (PI.f64)))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) s))
(.f64 -1 (/.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) -1))
(.f64 -1 (.f64 s (/.f64 (PI.f64) s)))
(.f64 -1 (.f64 (/.f64 (neg.f64 (PI.f64)) s) (neg.f64 s)))
(*.f64 (/.f64 (PI.f64) s) (neg.f64 s))
(.f64 (/.f64 (.f64 (PI.f64) s) s) -1)
(*.f64 (/.f64 s s) (neg.f64 (PI.f64)))
(.f64 (.f64 (PI.f64) s) (/.f64 -1 s))
(.f64 (/.f64 -1 s) (.f64 (PI.f64) s))
(.f64 (/.f64 -1 (cbrt.f64 s)) (.f64 (/.f64 (PI.f64) (cbrt.f64 (pow.f64 s 2))) s))
(*.f64 (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s))) (/.f64 s (cbrt.f64 (pow.f64 s 2))))
(.f64 (cbrt.f64 (pow.f64 s 2)) (/.f64 (.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 s)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 s)) s))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 s (neg.f64 s))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (/.f64 -1 (cbrt.f64 s)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s)))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) s) (neg.f64 s)))
(.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)) (pow.f64 (cbrt.f64 (pow.f64 s -1)) 2))
(*.f64 (neg.f64 (PI.f64)) (/.f64 s s))
(*.f64 (/.f64 s (cbrt.f64 (pow.f64 s 2))) (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s))))
(.f64 (.f64 (neg.f64 s) (PI.f64)) (pow.f64 s -1))
(.f64 (/.f64 (.f64 (PI.f64) (cbrt.f64 s)) (neg.f64 s)) (cbrt.f64 (pow.f64 s 2)))
(.f64 1 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 1)
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 s (neg.f64 s))))
(-.f64 (/.f64 0 s) (/.f64 (*.f64 (PI.f64) s) s))
(-.f64 0 (*.f64 s (/.f64 (PI.f64) s)))
(-.f64 0 (/.f64 (*.f64 (PI.f64) s) s))
(-.f64 0 (*.f64 (neg.f64 s) (/.f64 (neg.f64 (PI.f64)) s)))
(-.f64 0 (*.f64 (/.f64 (PI.f64) s) s))
(-.f64 0 (/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) -1))
(-.f64 0 (*.f64 (/.f64 (neg.f64 (PI.f64)) s) (neg.f64 s)))
(/.f64 (*.f64 (neg.f64 s) (PI.f64)) s)
(/.f64 (*.f64 (PI.f64) (/.f64 s s)) -1)
(/.f64 (/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)) (pow.f64 (cbrt.f64 (cbrt.f64 s)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 s 2)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) s)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))) (neg.f64 (cbrt.f64 s)))
(/.f64 (*.f64 (PI.f64) (/.f64 s (cbrt.f64 (pow.f64 s 2)))) (neg.f64 (cbrt.f64 s)))
(/.f64 (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s)) (neg.f64 (cbrt.f64 s)))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s)) (cbrt.f64 s))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2)) (cbrt.f64 (*.f64 (PI.f64) s))) (neg.f64 (cbrt.f64 s)))
(/.f64 (/.f64 (*.f64 (PI.f64) s) s) -1)
(/.f64 (/.f64 (*.f64 (PI.f64) s) (cbrt.f64 (pow.f64 s 2))) (neg.f64 (cbrt.f64 s)))
(/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 (pow.f64 s 2))) (cbrt.f64 s))
(/.f64 (/.f64 (*.f64 (PI.f64) s) (cbrt.f64 s)) (neg.f64 (cbrt.f64 (pow.f64 s 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)) (neg.f64 (cbrt.f64 s))) (neg.f64 (cbrt.f64 s)))
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) s))) 3) s)
(/.f64 (*.f64 (PI.f64) s) (neg.f64 s))
(/.f64 (/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) -1) -1)
(/.f64 (cbrt.f64 (.f64 (.f64 (neg.f64 s) (PI.f64)) (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))) (cbrt.f64 s))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2) (*.f64 (neg.f64 s) (PI.f64)))) (cbrt.f64 s))
(/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)) (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 s)) 2))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)))) (pow.f64 (cbrt.f64 (cbrt.f64 s)) 2))
(/.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) s) (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))) (neg.f64 (cbrt.f64 s)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2) (*.f64 (PI.f64) s))) (neg.f64 (cbrt.f64 s)))
(/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s))) s) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (*.f64 s (/.f64 (PI.f64) (neg.f64 (cbrt.f64 s)))) (cbrt.f64 (pow.f64 s 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 1)
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 3))
(neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) -1))
(neg.f64 (*.f64 s (/.f64 (PI.f64) s)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) s) (neg.f64 s)))
(neg.f64 (/.f64 (*.f64 (PI.f64) s) s))
(neg.f64 (*.f64 (/.f64 (PI.f64) s) s))
(neg.f64 (*.f64 (neg.f64 s) (/.f64 (neg.f64 (PI.f64)) s)))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) s) s) 1))
(neg.f64 (/.f64 (*.f64 (neg.f64 s) (/.f64 (neg.f64 (PI.f64)) s)) 1))
(neg.f64 (/.f64 (*.f64 (/.f64 (PI.f64) s) s) 1))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) -1) 1))
(neg.f64 (/.f64 (*.f64 s (/.f64 (PI.f64) s)) 1))
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (PI.f64)) s) (neg.f64 s)) 1))
(neg.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) (neg.f64 s)))
(neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) (cbrt.f64 s)) (neg.f64 (cbrt.f64 (pow.f64 s 2)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))) 3))
(if (!=.f64 s 0) (/.f64 (PI.f64) (/.f64 s (neg.f64 s))) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 0) (pow.f64 (/.f64 1 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) -1) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (neg.f64 s) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) s))) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 (neg.f64 s) (PI.f64))) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) s) 2)) 0) (/.f64 (cbrt.f64 (.f64 (PI.f64) s)) (/.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (.f64 (PI.f64) s) 2)))) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (cbrt.f64 (pow.f64 s 2)) 0) (/.f64 (.f64 (PI.f64) (cbrt.f64 s)) (/.f64 s (neg.f64 (cbrt.f64 (pow.f64 s 2))))) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (.f64 (PI.f64) s) 0) (pow.f64 (/.f64 (neg.f64 s) (.f64 (PI.f64) s)) -1) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (/.f64 s (/.f64 (neg.f64 s) (PI.f64))) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) -3)) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 3) -1/3)) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(+.f64 (.f64 (neg.f64 s) (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)) (.f64 0 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)))
(+.f64 (.f64 0 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)) (.f64 (neg.f64 s) (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)))
(+.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) (.f64 0 (/.f64 (neg.f64 (PI.f64)) s)))
(+.f64 (.f64 0 (/.f64 (neg.f64 (PI.f64)) s)) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(+.f64 (.f64 0 (/.f64 s s)) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(+.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) (.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1) 0))
(+.f64 (.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1) 0) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(+.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) (.f64 (/.f64 (neg.f64 (PI.f64)) s) 0))
(+.f64 (.f64 (/.f64 (neg.f64 (PI.f64)) s) 0) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(+.f64 (.f64 (/.f64 s s) 0) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))

Outputs
(.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2)))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2)) (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s)))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(*.f64 (/.f64 (neg.f64 (PI.f64)) s) s)
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(*.f64 s (/.f64 (neg.f64 (PI.f64)) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)) (.f64 (cbrt.f64 s) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (cbrt.f64 (.f64 s (pow.f64 (/.f64 (*.f64 s (PI.f64)) s) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) 2) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2))))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(.f64 -1 (.f64 (/.f64 (PI.f64) s) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2)) 2)) (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 s (PI.f64)) s)) 2)) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 s (PI.f64)) s) 2)) 2) (/.f64 (neg.f64 (*.f64 s (PI.f64))) s))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s)))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))) (*.f64 s (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))))
(.f64 -1 (/.f64 (.f64 (PI.f64) s) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(.f64 -1 (.f64 (neg.f64 s) (/.f64 (neg.f64 (PI.f64)) s)))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))) 2))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) s) (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (.f64 s (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s) 2)) 2)))
(.f64 (cbrt.f64 (/.f64 (neg.f64 (.f64 s (PI.f64))) s)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 s (PI.f64)) s)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 s (PI.f64)) s) 2)) 2))))
(.f64 (.f64 (*.f64 s (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)) 2)))
(.f64 (.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) s) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) s) 2) 2))))
(.f64 (.f64 (*.f64 s (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s)))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) s) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) s)) 2))
(.f64 (.f64 s (cbrt.f64 (/.f64 (neg.f64 (PI.f64)) s))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2)))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (neg.f64 s))) (.f64 s (cbrt.f64 (pow.f64 (/.f64 (PI.f64) s) 2))))
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(if (!=.f64 (.f64 s (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (neg.f64 s) (.f64 s (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (/.f64 (neg.f64 (*.f64 s (PI.f64))) s))
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 (neg.f64 s) (PI.f64))) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 (neg.f64 s) (PI.f64))) (/.f64 (neg.f64 (*.f64 s (PI.f64))) s))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) s) 2)) 0) (/.f64 (cbrt.f64 (.f64 (PI.f64) s)) (/.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (.f64 (PI.f64) s) 2)))) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 s (PI.f64)) 2)) 0) (/.f64 (cbrt.f64 (.f64 s (PI.f64))) (/.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (.f64 s (PI.f64)) 2)))) (/.f64 (neg.f64 (.f64 s (PI.f64))) s))
(if (!=.f64 (cbrt.f64 (pow.f64 s 2)) 0) (/.f64 (.f64 (PI.f64) (cbrt.f64 s)) (/.f64 s (neg.f64 (cbrt.f64 (pow.f64 s 2))))) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (cbrt.f64 (.f64 s s)) 0) (/.f64 (neg.f64 (.f64 (PI.f64) (cbrt.f64 s))) (/.f64 s (cbrt.f64 (.f64 s s)))) (/.f64 (neg.f64 (.f64 s (PI.f64))) s))
(if (!=.f64 (.f64 (PI.f64) s) 0) (pow.f64 (/.f64 (neg.f64 s) (.f64 (PI.f64) s)) -1) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (.f64 s (PI.f64)) 0) (/.f64 -1 (/.f64 (/.f64 s (PI.f64)) s)) (/.f64 (neg.f64 (.f64 s (PI.f64))) s))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (/.f64 s (/.f64 (neg.f64 s) (PI.f64))) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (neg.f64 (PI.f64)) 0) (/.f64 s (/.f64 (neg.f64 s) (PI.f64))) (/.f64 (neg.f64 (*.f64 s (PI.f64))) s))
(if (!=.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s)) -3)) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (cbrt.f64 (/.f64 (neg.f64 (.f64 s (PI.f64))) s)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (.f64 s (PI.f64))) s)) -3)) (/.f64 (neg.f64 (*.f64 s (PI.f64))) s))
(if (!=.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) 3) -1/3)) (/.f64 (*.f64 (neg.f64 s) (PI.f64)) s))
(if (!=.f64 (pow.f64 (/.f64 (neg.f64 (.f64 s (PI.f64))) s) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (neg.f64 (.f64 s (PI.f64))) s) 3) -1/3)) (/.f64 (neg.f64 (*.f64 s (PI.f64))) s))
(+.f64 (.f64 (neg.f64 s) (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)) (.f64 0 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (.f64 0 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)) (.f64 (neg.f64 s) (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1)))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) (.f64 0 (/.f64 (neg.f64 (PI.f64)) s)))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (.f64 0 (/.f64 (neg.f64 (PI.f64)) s)) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (.f64 0 (/.f64 s s)) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) (.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1) 0))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) s) -1) 0) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (/.f64 (.f64 (neg.f64 s) (PI.f64)) s) (.f64 (/.f64 (neg.f64 (PI.f64)) s) 0))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (.f64 (/.f64 (neg.f64 (PI.f64)) s) 0) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)
(+.f64 (.f64 (/.f64 s s) 0) (/.f64 (.f64 (neg.f64 s) (PI.f64)) s))
(/.f64 (neg.f64 (*.f64 s (PI.f64))) s)

localize27.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 1 (/.f64 (PI.f64) s)))
	0.2b	(/.f64 (PI.f64) s)
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))

Compiler

Compiled 30 to 15 computations (50% saved)

series40.0ms (0%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	s	@	0	(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
1.0ms	s	@	-inf	(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
1.0ms	s	@	inf	(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
0.0ms	s	@	-inf	(log.f64 (+.f64 1 (/.f64 (PI.f64) s)))
0.0ms	s	@	inf	(log.f64 (+.f64 1 (/.f64 (PI.f64) s)))

Compiler

Compiled 2535 to 1845 computations (27.2% saved)

rewrite2.0s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

47×	`egg-rr`
12×	`egg-rr`

Counts

2 → 59

Calls

Call 1

Inputs
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
(log.f64 (+.f64 1 (/.f64 (PI.f64) s)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 s (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (neg.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 s) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 s)) (*.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s))) (neg.f64 (cbrt.f64 s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (neg.f64 s)) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (*.f64 (neg.f64 s) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 s (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))) (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 s) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (*.f64 0 (cbrt.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))))) (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (*.f64 0 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (+.f64 0 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 s 2)) (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (neg.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) 0) (/.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0) (/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) -1)) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (*.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 0) (/.f64 (neg.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (-.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (*.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))) 0) (/.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (*.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0) (/.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (*.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0)))))

((#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (/.f64 (PI.f64) s))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (PI.f64) s)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 (PI.f64) s) s))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 (/.f64 (PI.f64) s)) 0) (/.f64 1 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) -1)) (log1p.f64 (/.f64 (PI.f64) s)))))))

simplify2.3s (1.6%)

Algorithm

1×

egglog

Counts

74 → 91

Calls

Call 1

Inputs
(.f64 -1 (.f64 s (+.f64 (*.f64 -1 (log.f64 s)) (log.f64 (PI.f64)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 s 2) (PI.f64))) (.f64 -1 (.f64 s (+.f64 (.f64 -1 (log.f64 s)) (log.f64 (PI.f64))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 s 3) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 s 2) (PI.f64))) (.f64 -1 (.f64 s (+.f64 (*.f64 -1 (log.f64 s)) (log.f64 (PI.f64)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 s 3) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 s 2) (PI.f64))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 s 4) (pow.f64 (PI.f64) 3))) (.f64 -1 (.f64 s (+.f64 (.f64 -1 (log.f64 s)) (log.f64 (PI.f64))))))))
(+.f64 (*.f64 -1 (log.f64 s)) (+.f64 (log.f64 (PI.f64)) (/.f64 s (PI.f64))))
(+.f64 (.f64 -1 (log.f64 s)) (+.f64 (log.f64 (PI.f64)) (+.f64 (/.f64 s (PI.f64)) (.f64 -1/2 (/.f64 (pow.f64 s 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1 (log.f64 s)) (+.f64 (log.f64 (PI.f64)) (+.f64 (/.f64 s (PI.f64)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 s 2) (pow.f64 (PI.f64) 2))) (*.f64 1/3 (/.f64 (pow.f64 s 3) (pow.f64 (PI.f64) 3)))))))
(/.f64 (PI.f64) s)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (/.f64 (PI.f64) s))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (+.f64 (/.f64 (PI.f64) s) (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 s) 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (/.f64 1 s) 4))) (+.f64 (/.f64 (PI.f64) s) (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 s) 3))))))
(/.f64 (PI.f64) s)
(+.f64 (/.f64 (PI.f64) s) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (*.f64 -1 (PI.f64)) 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 3) (pow.f64 (/.f64 -1 s) 3))) (+.f64 (/.f64 (PI.f64) s) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (.f64 -1 (PI.f64)) 2)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 4) (pow.f64 (/.f64 -1 s) 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 3) (pow.f64 (/.f64 -1 s) 3))) (+.f64 (/.f64 (PI.f64) s) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (*.f64 -1 (PI.f64)) 2))))))
(*.f64 s (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (neg.f64 s)))
(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)
(.f64 (.f64 (neg.f64 s) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)))
(.f64 (neg.f64 (cbrt.f64 s)) (.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s))))
(.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s))) (neg.f64 (cbrt.f64 s)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (neg.f64 s)) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (.f64 (neg.f64 s) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))))
(.f64 (.f64 s (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))) (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2))))
(.f64 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))))
(.f64 (cbrt.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)))
(.f64 1 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)
(*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 s) (neg.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))
(.f64 -1 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))
(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) -1)
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 0 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))))) (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 0 (cbrt.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (+.f64 0 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))
(.f64 (cbrt.f64 (pow.f64 s 2)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))))
(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(-.f64 0 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))
(/.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)
(/.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) -1)
(fma.f64 0 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(fma.f64 0 3 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(fma.f64 1 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(fma.f64 0 1 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) 1/3)
(pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))
(neg.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0) (/.f64 1 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) -1)) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (-.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (-.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(+.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(+.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0)
(log1p.f64 (/.f64 (PI.f64) s))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 1 (log1p.f64 (/.f64 (PI.f64) s)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)
(log.f64 (/.f64 (+.f64 (PI.f64) s) s))
(/.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3) 1/3)
(pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3))
(if (!=.f64 (log1p.f64 (/.f64 (PI.f64) s)) 0) (/.f64 1 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) -1)) (log1p.f64 (/.f64 (PI.f64) s)))

Outputs
(.f64 -1 (.f64 s (+.f64 (*.f64 -1 (log.f64 s)) (log.f64 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 s)) (neg.f64 s))
(+.f64 (.f64 -1 (/.f64 (pow.f64 s 2) (PI.f64))) (.f64 -1 (.f64 s (+.f64 (.f64 -1 (log.f64 s)) (log.f64 (PI.f64))))))
(-.f64 (/.f64 (neg.f64 (.f64 s s)) (PI.f64)) (.f64 s (-.f64 (log.f64 (PI.f64)) (log.f64 s))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 s 3) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 s 2) (PI.f64))) (.f64 -1 (.f64 s (+.f64 (*.f64 -1 (log.f64 s)) (log.f64 (PI.f64)))))))
(fma.f64 1/2 (/.f64 (pow.f64 s 3) (.f64 (PI.f64) (PI.f64))) (-.f64 (/.f64 (neg.f64 (.f64 s s)) (PI.f64)) (*.f64 s (-.f64 (log.f64 (PI.f64)) (log.f64 s)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 s 3) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 s 2) (PI.f64))) (+.f64 (.f64 -1/3 (/.f64 (pow.f64 s 4) (pow.f64 (PI.f64) 3))) (.f64 -1 (.f64 s (+.f64 (.f64 -1 (log.f64 s)) (log.f64 (PI.f64))))))))
(fma.f64 1/2 (/.f64 (pow.f64 s 3) (.f64 (PI.f64) (PI.f64))) (-.f64 (-.f64 (/.f64 (.f64 -1/3 (pow.f64 s 4)) (pow.f64 (PI.f64) 3)) (.f64 s (-.f64 (log.f64 (PI.f64)) (log.f64 s)))) (/.f64 (.f64 s s) (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 s)) (+.f64 (log.f64 (PI.f64)) (/.f64 s (PI.f64))))
(+.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 s)) (/.f64 s (PI.f64)))
(+.f64 (.f64 -1 (log.f64 s)) (+.f64 (log.f64 (PI.f64)) (+.f64 (/.f64 s (PI.f64)) (.f64 -1/2 (/.f64 (pow.f64 s 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (+.f64 (/.f64 s (PI.f64)) (*.f64 (pow.f64 (/.f64 s (PI.f64)) 2) -1/2)) (-.f64 (log.f64 (PI.f64)) (log.f64 s)))
(+.f64 (.f64 -1 (log.f64 s)) (+.f64 (log.f64 (PI.f64)) (+.f64 (/.f64 s (PI.f64)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 s 2) (pow.f64 (PI.f64) 2))) (*.f64 1/3 (/.f64 (pow.f64 s 3) (pow.f64 (PI.f64) 3)))))))
(+.f64 (+.f64 (/.f64 s (PI.f64)) (fma.f64 -1/2 (pow.f64 (/.f64 s (PI.f64)) 2) (*.f64 1/3 (pow.f64 (/.f64 s (PI.f64)) 3)))) (-.f64 (log.f64 (PI.f64)) (log.f64 s)))
(/.f64 (PI.f64) s)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (/.f64 (PI.f64) s))
(fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (+.f64 (/.f64 (PI.f64) s) (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 s) 3)))))
(fma.f64 1/3 (pow.f64 (/.f64 (PI.f64) s) 3) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (/.f64 1 s) 4))) (+.f64 (/.f64 (PI.f64) s) (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 s) 3))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (/.f64 -1 s) 4)) (fma.f64 1/3 (pow.f64 (/.f64 (PI.f64) s) 3) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s))))
(/.f64 (PI.f64) s)
(+.f64 (/.f64 (PI.f64) s) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (*.f64 -1 (PI.f64)) 2))))
(fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 3) (pow.f64 (/.f64 -1 s) 3))) (+.f64 (/.f64 (PI.f64) s) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (.f64 -1 (PI.f64)) 2)))))
(fma.f64 1/3 (pow.f64 (/.f64 (PI.f64) s) 3) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 4) (pow.f64 (/.f64 -1 s) 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 -1 (PI.f64)) 3) (pow.f64 (/.f64 -1 s) 3))) (+.f64 (/.f64 (PI.f64) s) (.f64 -1/2 (.f64 (pow.f64 (/.f64 -1 s) 2) (pow.f64 (*.f64 -1 (PI.f64)) 2))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (/.f64 -1 s) 4)) (fma.f64 1/3 (pow.f64 (/.f64 (PI.f64) s) 3) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s))))
(*.f64 s (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (neg.f64 s)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (.f64 (neg.f64 s) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (neg.f64 (cbrt.f64 s)) (.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s))) (neg.f64 (cbrt.f64 s)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (neg.f64 s)) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (.f64 (neg.f64 s) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (.f64 s (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s)))) (neg.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 1 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 s) (neg.f64 (.f64 (cbrt.f64 (pow.f64 s 2)) (log1p.f64 (/.f64 (PI.f64) s)))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 -1 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) -1)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 0 (cbrt.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))))) (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 0 (cbrt.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (+.f64 0 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (cbrt.f64 (pow.f64 s 2)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(-.f64 0 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(/.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(/.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) -1)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(fma.f64 0 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(fma.f64 0 3 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(fma.f64 1 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(fma.f64 0 1 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) 1/3)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 1)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(neg.f64 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) s))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) 0) (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 3) (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 3) (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 3) (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0) (/.f64 1 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) -1)) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)) 0) (/.f64 -1 (/.f64 (/.f64 1 s) (log1p.f64 (/.f64 (PI.f64) s)))) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 3) (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 (-.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (-.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 0) (/.f64 (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s)) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0))) (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 0 0) 0 (*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))))) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) 0) (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 3) (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(if (!=.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0) (/.f64 (pow.f64 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3) (+.f64 0 (-.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2) (.f64 0 (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))))) (.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(if (!=.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)) 0) (/.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 3) (neg.f64 (pow.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) s) 2))) (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s)))
(+.f64 0 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(+.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 0)
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 s))
(log1p.f64 (/.f64 (PI.f64) s))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)))
(log1p.f64 (/.f64 (PI.f64) s))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 2)) (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))))
(log1p.f64 (/.f64 (PI.f64) s))
(*.f64 1 (log1p.f64 (/.f64 (PI.f64) s)))
(log1p.f64 (/.f64 (PI.f64) s))
(*.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)
(log1p.f64 (/.f64 (PI.f64) s))
(log.f64 (/.f64 (+.f64 (PI.f64) s) s))
(log1p.f64 (/.f64 (PI.f64) s))
(/.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)
(log1p.f64 (/.f64 (PI.f64) s))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3)
(log1p.f64 (/.f64 (PI.f64) s))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3) 1/3)
(log1p.f64 (/.f64 (PI.f64) s))
(pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 1)
(log1p.f64 (/.f64 (PI.f64) s))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3))
(log1p.f64 (/.f64 (PI.f64) s))
(if (!=.f64 (log1p.f64 (/.f64 (PI.f64) s)) 0) (/.f64 1 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) -1)) (log1p.f64 (/.f64 (PI.f64) s)))
(if (!=.f64 (log1p.f64 (/.f64 (PI.f64) s)) 0) (pow.f64 (/.f64 1 (log1p.f64 (/.f64 (PI.f64) s))) -1) (log1p.f64 (/.f64 (PI.f64) s)))

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (PI.f64) s)
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))
✓	39.1b	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)

Compiler

Compiled 332 to 64 computations (80.7% saved)

series1.6s (1.1%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
46.0ms	s	@	-inf	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)
25.0ms	s	@	inf	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)
25.0ms	u	@	0	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)
15.0ms	s	@	0	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)
12.0ms	u	@	-inf	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)

Compiler

Compiled 166660 to 140400 computations (15.8% saved)

rewrite1.8s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

43×	`egg-rr`
43×	`egg-rr`

Counts

2 → 86

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)

(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) s) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) s) 2)) (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 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simplify3.4s (2.3%)

Algorithm

1×

egglog

Counts

92 → 64

Calls

Call 1

Inputs
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
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Outputs
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
(*.f64 (neg.f64 s) (log.f64 (expm1.f64 (log.f64 2))))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) s) 2) (.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))) (*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))
(+.f64 (.f64 0 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
(+.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 0) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
(+.f64 0 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
(*.f64 (neg.f64 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))

localize144.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (PI.f64) s)
✓	0.3b	(/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1))
	0.3b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))
	0.7b	(log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))

Compiler

Compiled 476 to 100 computations (79% saved)

series1.2s (0.8%)

Counts

1 → 2

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	s	@	inf	(/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1))
21.0ms	u	@	0	(/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1))
21.0ms	s	@	-inf	(/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1))
9.0ms	u	@	-inf	(/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1))
9.0ms	u	@	inf	(/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1))

Compiler

Compiled 76310 to 63420 computations (16.9% saved)

rewrite1.9s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

36× egg-rr

Counts

1 → 36

Calls

Call 1

Inputs

(/.f64 1 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))))) (#(struct:change #<rule 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simplify2.1s (1.4%)

Algorithm

1×

egglog

Counts

38 → 50

Calls

Call 1

Inputs
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
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(/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))
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(pow.f64 (pow.f64 (/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) 1/3)
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Outputs
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
0
(.f64 -1 (.f64 s (log.f64 (-.f64 (/.f64 1 (exp.f64 (neg.f64 (log.f64 2)))) 1))))
0
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(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) s) 2)) 0) (cbrt.f64 (/.f64 (pow.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) s) 2) (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 0) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 (.f64 (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) s) 0) (.f64 (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) s) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 (.f64 s (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 0) (.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) (/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))
(if (!=.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) s) 0) (.f64 (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) s) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))

eval2.4s (1.6%)

Compiler: Compiled 169094 to 77591 computations (54.1% saved)

prune1.4s (1%)

Pruning

54 alts after pruning (45 fresh and 9 done)

	Pruned	Kept	Total
New	1722	25	1747
Fresh	8	20	28
Picked	0	1	1
Done	1	8	9
Total	1731	54	1785

Error

0.0b

Counts

1785 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))) 0) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))) -1) (.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (*.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))))
	0.5b	(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (if (!=.f64 (neg.f64 s) 0) (/.f64 s (/.f64 -1 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
	0.4b	(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (if (!=.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 0) (/.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (/.f64 -1 s)) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
	1.3b	(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (if (!=.f64 (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 0) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) -3) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
	27.4b	(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2)) (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
✓	0.4b	(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (/.f64 1 (pow.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) -1)) (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
	1.5b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (if (!=.f64 (cbrt.f64 (.f64 s s)) 0) (/.f64 (cbrt.f64 (.f64 s s)) (/.f64 (/.f64 -1 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))) (cbrt.f64 s))) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
	0.9b	(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 -1 (/.f64 1 (.f64 (.f64 s (cbrt.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) 2))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
✓	60.1b	(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)
	2.8b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) 3) 3)
	1.6b	(pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)
	54.6b	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)
	1.5b	(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))) 3)
	60.6b	(/.f64 (pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (PI.f64))) 3) s)
	60.6b	(/.f64 (*.f64 (neg.f64 (PI.f64)) s) s)
	60.6b	(.f64 (/.f64 (.f64 s (PI.f64)) (neg.f64 (cbrt.f64 s))) (pow.f64 (/.f64 1 (cbrt.f64 s)) 2))
	59.6b	(.f64 (/.f64 (PI.f64) (neg.f64 s)) (.f64 (cbrt.f64 s) (cbrt.f64 (*.f64 s s))))
✓	60.6b	(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
	60.6b	(.f64 (/.f64 -1 s) (.f64 (PI.f64) s))
	54.6b	(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 s)) (neg.f64 s))
	60.6b	(.f64 (.f64 (/.f64 -1 s) (PI.f64)) s)
	27.8b	(.f64 (.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (.f64 s s))) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)))
	0.9b	(.f64 (.f64 (neg.f64 s) (cbrt.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))) (cbrt.f64 (pow.f64 (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))) 2)))
	56.6b	(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
	27.8b	(.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (*.f64 s s)))
	54.6b	(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)
	63.4b	(*.f64 (neg.f64 s) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s)))
	62.3b	(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (/.f64 (PI.f64) s) 3) 1/3))
	54.6b	(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3) 1/3))
	4.6b	(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1/3))
	54.6b	(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3))
	1.3b	(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3))
	60.6b	(.f64 (neg.f64 s) (/.f64 (/.f64 (.f64 (PI.f64) s) s) s))
	60.6b	(.f64 (neg.f64 s) (/.f64 (.f64 3 (PI.f64)) (*.f64 3 s)))
	63.4b	(.f64 (neg.f64 s) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (/.f64 (PI.f64) s)))
	60.6b	(.f64 (neg.f64 s) (.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3))
	59.2b	(*.f64 (neg.f64 s) (log.f64 (fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (+.f64 1 (/.f64 (PI.f64) s)))))
✓	0.4b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))
	0.5b	(*.f64 (neg.f64 s) (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))
✓	0.3b	(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))
✓	0.4b	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
	57.9b	(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 1/2))) 1)))
	58.6b	(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (pow.f64 s 2))))))
	54.7b	(.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (.f64 4 (fma.f64 (.f64 (PI.f64) -1/2) u (.f64 (PI.f64) 1/4))) s))))
✓	54.6b	(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
	59.2b	(.f64 (neg.f64 s) (log.f64 (+.f64 1 (+.f64 (/.f64 (PI.f64) s) (.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2)))))))
	54.6b	(.f64 (neg.f64 s) (log.f64 (+.f64 1 (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))))
	0.5b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) 1/3))))))
	0.6b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 3))))))
✓	0.4b	(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
✓	60.6b	(*.f64 (neg.f64 s) (log.f64 1))
	0.6b	(.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)) 3)))
	57.7b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))
	37.6b	(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3))

Compiler

Compiled 2282 to 1245 computations (45.4% saved)

regimes183.0ms (0.1%)

Counts

86 → 1

Calls

Call 1

Inputs
(*.f64 (neg.f64 s) (log.f64 1))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
(/.f64 (*.f64 (neg.f64 (PI.f64)) s) s)
(.f64 (.f64 (PI.f64) s) (/.f64 -1 s))
(.f64 (.f64 (/.f64 -1 s) (PI.f64)) s)
(.f64 (/.f64 -1 s) (.f64 (PI.f64) s))
(.f64 (neg.f64 s) (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))
(.f64 (neg.f64 s) (.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3))
(.f64 (neg.f64 s) (/.f64 (.f64 3 (PI.f64)) (*.f64 3 s)))
(.f64 (neg.f64 s) (/.f64 (/.f64 (.f64 (PI.f64) s) s) s))
(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 s (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 1/2))) 1)))
(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 s)) (neg.f64 s))
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (/.f64 (PI.f64) s) 3) 1/3))
(.f64 (/.f64 (PI.f64) (neg.f64 s)) (.f64 (cbrt.f64 s) (cbrt.f64 (*.f64 s s))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))
(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3))
(/.f64 (pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (PI.f64))) 3) s)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3) 1/3))
(*.f64 (neg.f64 s) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s)))
(.f64 (/.f64 (.f64 s (PI.f64)) (neg.f64 (cbrt.f64 s))) (pow.f64 (/.f64 1 (cbrt.f64 s)) 2))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (.f64 4 (fma.f64 (.f64 (PI.f64) -1/2) u (.f64 (PI.f64) 1/4))) s))))
(.f64 (neg.f64 s) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (/.f64 (PI.f64) s)))
(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (pow.f64 s 2))))))
(*.f64 (neg.f64 s) (log.f64 (fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (+.f64 1 (/.f64 (PI.f64) s)))))
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(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (if (!=.f64 (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 0) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) -3) (/.f64 1 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 -1 (/.f64 1 (.f64 (.f64 s (cbrt.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1)) 2))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))
(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (/.f64 (pow.f64 s -1) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 2)) (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) (.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))))
(if (!=.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))) -1) 2)) (cbrt.f64 (/.f64 (/.f64 -1 s) (log.f64 (+.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) -1))))) (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 s)))

Outputs

(*.f64 (neg.f64 s) (log.f64 (/.f64 (+.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) (neg.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))

Calls

3 calls:

39.0ms

(*.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

38.0ms

37.0ms

Results

Error	Segments	Branch
0.3b	1	`u`
0.3b	1	`s`
0.3b	1	`(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))`

Compiler

Compiled 4320 to 1222 computations (71.7% saved)

regimes125.0ms (0.1%)

Counts

61 → 1

Calls

Call 1

Inputs
(*.f64 (neg.f64 s) (log.f64 1))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
(/.f64 (*.f64 (neg.f64 (PI.f64)) s) s)
(.f64 (.f64 (PI.f64) s) (/.f64 -1 s))
(.f64 (.f64 (/.f64 -1 s) (PI.f64)) s)
(.f64 (/.f64 -1 s) (.f64 (PI.f64) s))
(.f64 (neg.f64 s) (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))
(.f64 (neg.f64 s) (.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3))
(.f64 (neg.f64 s) (/.f64 (.f64 3 (PI.f64)) (*.f64 3 s)))
(.f64 (neg.f64 s) (/.f64 (/.f64 (.f64 (PI.f64) s) s) s))
(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 s (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 1/2))) 1)))
(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 s)) (neg.f64 s))
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (/.f64 (PI.f64) s) 3) 1/3))
(.f64 (/.f64 (PI.f64) (neg.f64 s)) (.f64 (cbrt.f64 s) (cbrt.f64 (*.f64 s s))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))
(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3))
(/.f64 (pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (PI.f64))) 3) s)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3) 1/3))
(*.f64 (neg.f64 s) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s)))
(.f64 (/.f64 (.f64 s (PI.f64)) (neg.f64 (cbrt.f64 s))) (pow.f64 (/.f64 1 (cbrt.f64 s)) 2))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (.f64 4 (fma.f64 (.f64 (PI.f64) -1/2) u (.f64 (PI.f64) 1/4))) s))))
(.f64 (neg.f64 s) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (/.f64 (PI.f64) s)))
(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (pow.f64 s 2))))))
(*.f64 (neg.f64 s) (log.f64 (fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (+.f64 1 (/.f64 (PI.f64) s)))))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (+.f64 (/.f64 (PI.f64) s) (.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2)))))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))
(.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)) 3)))
(.f64 (.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (.f64 s s))) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3))
(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3)))))))
(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))) 3))))))
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))))))) 3)
(*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (pow.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) 3) 1/3))))))
(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (neg.f64 (+.f64 1 (/.f64 -1 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s))))))))))) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3))
(*.f64 (neg.f64 s) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) 3)))
(*.f64 (neg.f64 s) (log.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3))))
(*.f64 (neg.f64 s) (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3)))
(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3))
(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 s 3))) (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)))
(pow.f64 (cbrt.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))))) 3)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)
(*.f64 (neg.f64 s) (log.f64 (pow.f64 (pow.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)) 3) 1/3)))
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1/3))
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) 3) 1/3))
(pow.f64 (pow.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (neg.f64 s) (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1)))) 3) 1/3)
(.f64 (.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1) 1)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (*.f64 s s)))
(pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))) 3)
(.f64 (.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 s (neg.f64 (log.f64 (+.f64 -1 (pow.f64 (fma.f64 u (-.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))) -1))))))) 3) 3)
(if (!=.f64 (.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))) 0) (pow.f64 (/.f64 (/.f64 -1 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))) -1) (.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (/.f64 u (exp.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) (neg.f64 s)))))) (*.f64 (+.f64 (neg.f64 u) 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 (/.f64 (PI.f64) s)))))))) 1))))

Outputs

(*.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

Calls

3 calls:

42.0ms

28.0ms

(*.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))

28.0ms

Results

Error	Segments	Branch
0.4b	1	`u`
0.4b	1	`s`
0.4b	1	`(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (+.f64 (.f64 u (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (neg.f64 (PI.f64)) s)))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (PI.f64) s)))))) 1)))`

Compiler

Compiled 1522 to 563 computations (63% saved)

regimes40.0ms (0%)

Counts

32 → 1

Calls

Call 1

Inputs
(*.f64 (neg.f64 s) (log.f64 1))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
(/.f64 (*.f64 (neg.f64 (PI.f64)) s) s)
(.f64 (.f64 (PI.f64) s) (/.f64 -1 s))
(.f64 (.f64 (/.f64 -1 s) (PI.f64)) s)
(.f64 (/.f64 -1 s) (.f64 (PI.f64) s))
(.f64 (neg.f64 s) (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))
(.f64 (neg.f64 s) (.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3))
(.f64 (neg.f64 s) (/.f64 (.f64 3 (PI.f64)) (*.f64 3 s)))
(.f64 (neg.f64 s) (/.f64 (/.f64 (.f64 (PI.f64) s) s) s))
(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 s (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 1/2))) 1)))
(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 s)) (neg.f64 s))
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (/.f64 (PI.f64) s) 3) 1/3))
(.f64 (/.f64 (PI.f64) (neg.f64 s)) (.f64 (cbrt.f64 s) (cbrt.f64 (*.f64 s s))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))
(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3))
(/.f64 (pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (PI.f64))) 3) s)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (log1p.f64 (/.f64 (PI.f64) s)) 3) 1/3))
(*.f64 (neg.f64 s) (fma.f64 -1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (/.f64 (PI.f64) s)))
(.f64 (/.f64 (.f64 s (PI.f64)) (neg.f64 (cbrt.f64 s))) (pow.f64 (/.f64 1 (cbrt.f64 s)) 2))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (.f64 4 (fma.f64 (.f64 (PI.f64) -1/2) u (.f64 (PI.f64) 1/4))) s))))
(.f64 (neg.f64 s) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2))) (/.f64 (PI.f64) s)))
(.f64 (.f64 (log1p.f64 (/.f64 (PI.f64) s)) (neg.f64 (cbrt.f64 s))) (cbrt.f64 (pow.f64 s 2)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (/.f64 (PI.f64) (cbrt.f64 s)) (cbrt.f64 (pow.f64 s 2))))))
(*.f64 (neg.f64 s) (log.f64 (fma.f64 1/2 (pow.f64 (/.f64 (PI.f64) s) 2) (+.f64 1 (/.f64 (PI.f64) s)))))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (+.f64 (/.f64 (PI.f64) s) (.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (/.f64 1 s) 2)))))))

Outputs
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s)))) 3)

Calls

2 calls:

16.0ms	u
15.0ms	s

Results

Error	Segments	Branch
54.6b	1	`u`
54.6b	1	`s`

Compiler

Compiled 358 to 187 computations (47.8% saved)

regimes27.0ms (0%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 (neg.f64 s) (log.f64 1))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
(/.f64 (*.f64 (neg.f64 (PI.f64)) s) s)
(.f64 (.f64 (PI.f64) s) (/.f64 -1 s))
(.f64 (.f64 (/.f64 -1 s) (PI.f64)) s)
(.f64 (/.f64 -1 s) (.f64 (PI.f64) s))
(.f64 (neg.f64 s) (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))
(.f64 (neg.f64 s) (.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3))
(.f64 (neg.f64 s) (/.f64 (.f64 3 (PI.f64)) (*.f64 3 s)))
(.f64 (neg.f64 s) (/.f64 (/.f64 (.f64 (PI.f64) s) s) s))
(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)
(if (!=.f64 (PI.f64) 0) (/.f64 s (/.f64 s (neg.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) s) (neg.f64 s)))
(*.f64 (neg.f64 s) (log.f64 (+.f64 1 (/.f64 (PI.f64) s))))
(.f64 (neg.f64 s) (log.f64 (+.f64 1 (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))))
(.f64 (neg.f64 s) (log.f64 (-.f64 (/.f64 1 (cbrt.f64 (.f64 1/4 1/2))) 1)))
(*.f64 (neg.f64 s) (log.f64 (exp.f64 (/.f64 (PI.f64) s))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 s)) (neg.f64 s))
(*.f64 (neg.f64 s) (pow.f64 (pow.f64 (/.f64 (PI.f64) s) 3) 1/3))
(.f64 (/.f64 (PI.f64) (neg.f64 s)) (.f64 (cbrt.f64 s) (cbrt.f64 (*.f64 s s))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 s) (log1p.f64 (/.f64 (PI.f64) s))) 3))
(*.f64 (neg.f64 s) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (PI.f64) s))) 3))
(/.f64 (pow.f64 (*.f64 (neg.f64 (cbrt.f64 s)) (cbrt.f64 (PI.f64))) 3) s)

Outputs
(*.f64 (neg.f64 (log1p.f64 (/.f64 (PI.f64) s))) s)

Calls

2 calls:

11.0ms	u
11.0ms	s

Results

Error	Segments	Branch
54.6b	1	`u`
54.6b	1	`s`

Compiler

Compiled 209 to 108 computations (48.3% saved)

regimes15.0ms (0%)

Accuracy

Total -1.0b remaining (-1.7%)

Threshold costs -1.0b (-1.7%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 (neg.f64 s) (log.f64 1))
(*.f64 (/.f64 (PI.f64) (neg.f64 s)) s)
(/.f64 (*.f64 (neg.f64 (PI.f64)) s) s)
(.f64 (.f64 (PI.f64) s) (/.f64 -1 s))
(.f64 (.f64 (/.f64 -1 s) (PI.f64)) s)
(.f64 (/.f64 -1 s) (.f64 (PI.f64) s))
(.f64 (neg.f64 s) (.f64 (/.f64 -1 s) (neg.f64 (PI.f64))))
(.f64 (neg.f64 s) (.f64 (/.f64 (*.f64 (PI.f64) 3) s) 1/3))
(.f64 (neg.f64 s) (/.f64 (.f64 3 (PI.f64)) (*.f64 3 s)))
(.f64 (neg.f64 s) (/.f64 (/.f64 (.f64 (PI.f64) s) s) s))

Outputs
(*.f64 (neg.f64 s) (log.f64 1))

Calls

2 calls:

7.0ms	u
6.0ms	s

Results

Error	Segments	Branch
60.6b	1	`u`
60.6b	1	`s`

Compiler

Compiled 85 to 46 computations (45.9% saved)

simplify3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 127 to 75 computations (40.9% saved)

soundness0.0ms (0%)

end47.0ms (0%)

Compiler: Compiled 119 to 56 computations (52.9% saved)