Details

analyze329.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	25%	0%	0%	3
0%	0%	62.5%	0%	25%	0%	12.5%	4
0%	0%	56.2%	0%	25%	0%	18.7%	5
6.3%	3.1%	46.9%	0%	25%	3.1%	21.9%	6
6.5%	3.1%	45.3%	0%	25%	3.1%	23.4%	7
6.6%	3.1%	44.5%	0%	25%	3.1%	24.2%	8
7.4%	3.5%	44.1%	0%	25%	3.1%	24.2%	9
7.8%	3.7%	43.9%	0%	25%	3.1%	24.2%	10
8%	3.8%	43.8%	0%	25%	3.1%	24.2%	11
8%	3.8%	43.8%	0%	25%	3.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample7.2s (4.8%)

Results

2.3s	3989×	body	1024	valid
2.2s	4036×	body	1024	invalid
795.0ms	2046×	body	512	valid
737.0ms	2005×	body	512	invalid
612.0ms	551×	body	2048	valid
348.0ms	1670×	body	256	valid
191.0ms	972×	body	256	invalid
2.0ms	2×	body	2048	invalid
1.0ms	4×	body	256	unsamplable

Bogosity

preprocess2.9s (1.9%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Inputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))

Outputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify1.4s (1%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Inputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))

Outputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))

eval2.0ms (0%)

Compiler: Compiled 63 to 49 computations (22.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))

Compiler

Compiled 26 to 21 computations (19.2% saved)

localize72.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))
✓	0.3b	(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))
✓	0.3b	(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))))
✓	1.0b	(pow.f64 (exp.f64 1/4) (PI.f64))

Compiler

Compiled 143 to 99 computations (30.8% saved)

series144.0ms (0.1%)

Counts

4 → 31

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	f	@	inf	(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))
34.0ms	f	@	-inf	(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))
4.0ms	f	@	0	(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))
2.0ms	f	@	0	(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))))
2.0ms	f	@	-inf	(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))))

Compiler

Compiled 8060 to 6370 computations (21% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

126×	`egg-rr`
80×	`egg-rr`
57×	`egg-rr`
29×	`egg-rr`

Counts

4 → 292

Calls

Call 1

Inputs
(pow.f64 (exp.f64 1/4) (PI.f64))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))))
(/.f64 (log.f64 (neg.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) -1/4) (+.f64 f f)))))) (*.f64 (PI.f64) -1/4))
(.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) 2/3) (cbrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64)))) (.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) -1) (.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1/4) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 -1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (.f64 1/4 (PI.f64)))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 1/4)) (.f64 (cbrt.f64 1/16) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1/4) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (E.f64)) (.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 1/4 (cbrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 1/4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (.f64 (PI.f64) -1/4))) (neg.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (PI.f64)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 (PI.f64))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 1/4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 1/4 (PI.f64)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 1/4 (PI.f64)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (/.f64 -1 (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) 2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (cbrt.f64 (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) 3)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2))) (/.f64 1 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -4) (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 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simplify6.4s (4.3%)

Algorithm

1×

egglog

Counts

323 → 369

Calls

Call 1

Inputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
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(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) 2))) 0) (/.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2))))) (/.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) 2)))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (.f64 (PI.f64) -1/4)))
(if (!=.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) 0) (/.f64 -1 (/.f64 (.f64 1/4 (PI.f64)) (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (.f64 (PI.f64) -1/4)))
(.f64 (PI.f64) (.f64 -1/2 f))
(.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) f) -1/2)) (cbrt.f64 (pow.f64 (.f64 (*.f64 (PI.f64) f) -1/2) 2)))
(.f64 (.f64 -1/2 f) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 2)) (cbrt.f64 (.f64 (*.f64 (PI.f64) f) -1/2)))
(.f64 (cbrt.f64 (+.f64 f f)) (.f64 (cbrt.f64 (.f64 4 (pow.f64 f 2))) (.f64 (PI.f64) -1/4)))
(.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (.f64 1/16 (*.f64 (PI.f64) (PI.f64)))) (+.f64 f f)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 -1/2 f)))
(.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 (+.f64 f f))) (cbrt.f64 (.f64 4 (pow.f64 f 2))))
(.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))
(.f64 (+.f64 f f) (.f64 (PI.f64) -1/4))
(.f64 f (.f64 (PI.f64) -1/2))
(.f64 (.f64 (PI.f64) -1/2) f)
(.f64 (.f64 (cbrt.f64 (pow.f64 f 2)) (.f64 (PI.f64) -1/4)) (.f64 2 (cbrt.f64 f)))
(.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2) (+.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) (cbrt.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(.f64 (cbrt.f64 (pow.f64 f 2)) (+.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 f)) (.f64 (*.f64 (PI.f64) -1/4) (cbrt.f64 f))))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) f) (+.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (cbrt.f64 (.f64 (PI.f64) -1/4))))
(.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) (+.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2) (pow.f64 (cbrt.f64 (.f64 f (*.f64 (PI.f64) -1/4))) 2)))
(.f64 (cbrt.f64 f) (+.f64 (.f64 (cbrt.f64 (pow.f64 f 2)) (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (pow.f64 f 2)) (*.f64 (PI.f64) -1/4))))
(.f64 (.f64 f -1/4) (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 f)) (.f64 2 (cbrt.f64 (pow.f64 f 2))))
(.f64 (.f64 f (cbrt.f64 (.f64 (PI.f64) -1/4))) (+.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (.f64 1/16 (*.f64 (PI.f64) (PI.f64))))))
(.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) (+.f64 (.f64 f (cbrt.f64 (.f64 (PI.f64) -1/4))) (.f64 f (cbrt.f64 (*.f64 (PI.f64) -1/4)))))
(.f64 (.f64 (+.f64 f f) (cbrt.f64 (.f64 (PI.f64) -1/4))) (cbrt.f64 (.f64 1/16 (*.f64 (PI.f64) (PI.f64)))))
(.f64 1 (.f64 (*.f64 (PI.f64) f) -1/2))
(.f64 2 (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 -1/4 (.f64 (PI.f64) (+.f64 f f)))
(.f64 (.f64 (*.f64 (PI.f64) f) -1/2) 1)
(.f64 (.f64 f (*.f64 (PI.f64) -1/4)) 2)
(.f64 (.f64 (PI.f64) f) -1/2)
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 (+.f64 f f) (PI.f64)) -1/4)
(/.f64 (.f64 (.f64 (PI.f64) f) -1/2) 1)
(fma.f64 f (.f64 (PI.f64) -1/4) (.f64 f (*.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 (PI.f64) -1/4) f (.f64 f (*.f64 (PI.f64) -1/4)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) f) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (PI.f64) (.f64 -1/4 f) (.f64 f (*.f64 (PI.f64) -1/4)))
(fma.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (cbrt.f64 f) (.f64 (cbrt.f64 (pow.f64 f 2)) (.f64 (PI.f64) -1/4)) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 f -1/4) (PI.f64) (.f64 f (*.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 f)) (cbrt.f64 (pow.f64 f 2)) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 f (cbrt.f64 (.f64 (PI.f64) -1/4))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 f (PI.f64)) -1/4 (.f64 f (*.f64 (PI.f64) -1/4)))
(fma.f64 -1/4 (.f64 (PI.f64) f) (.f64 f (*.f64 (PI.f64) -1/4)))
(fma.f64 1 (.f64 f (.f64 (PI.f64) -1/4)) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 f (.f64 (PI.f64) -1/4)) 1 (.f64 f (.f64 (PI.f64) -1/4)))
(pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) f) -1/2)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 3) 1/3)
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 3))
(if (!=.f64 (.f64 f (.f64 (PI.f64) -1/4)) 0) (.f64 (.f64 f (.f64 (PI.f64) -1/4)) (/.f64 (.f64 (.f64 (PI.f64) f) -1/2) (.f64 f (.f64 (PI.f64) -1/4)))) (.f64 (*.f64 (PI.f64) f) -1/2))
(if (!=.f64 (.f64 f (.f64 (PI.f64) -1/4)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 3)) (+.f64 0 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 2))) (.f64 (*.f64 (PI.f64) f) -1/2))
(if (!=.f64 (+.f64 0 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 2)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 3)) (+.f64 0 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 2))) (.f64 (*.f64 (PI.f64) f) -1/2))
(if (!=.f64 0 0) 0 (.f64 (.f64 (PI.f64) f) -1/2))
(+.f64 (.f64 f (.f64 (PI.f64) -1/4)) (.f64 f (.f64 (PI.f64) -1/4)))
(+.f64 (.f64 (.f64 -1/4 f) (PI.f64)) (.f64 (.f64 -1/4 f) (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 f -1/4)) (.f64 (PI.f64) (.f64 f -1/4)))

Outputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 1/4) (PI.f64))) f)) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2) -1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
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(.f64 (PI.f64) (.f64 -1/2 f))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) f) -1/2)) (cbrt.f64 (pow.f64 (.f64 (*.f64 (PI.f64) f) -1/2) 2)))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 -1/2 f) (PI.f64))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 2)) (cbrt.f64 (.f64 (*.f64 (PI.f64) f) -1/2)))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (cbrt.f64 (+.f64 f f)) (.f64 (cbrt.f64 (.f64 4 (pow.f64 f 2))) (.f64 (PI.f64) -1/4)))
(.f64 (cbrt.f64 (.f64 (.f64 2 f) (.f64 4 (pow.f64 f 2)))) (*.f64 -1/4 (PI.f64)))
(.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (.f64 1/16 (*.f64 (PI.f64) (PI.f64)))) (+.f64 f f)))
(.f64 (.f64 2 f) (cbrt.f64 (.f64 (.f64 -1/4 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 -1/2 f)))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 (+.f64 f f))) (cbrt.f64 (.f64 4 (pow.f64 f 2))))
(.f64 (.f64 -1/4 (PI.f64)) (cbrt.f64 (.f64 (.f64 2 f) (*.f64 4 (pow.f64 f 2)))))
(.f64 (.f64 (PI.f64) -1/4) (+.f64 f f))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (+.f64 f f) (.f64 (PI.f64) -1/4))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/2))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 (PI.f64) -1/2) f)
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 (cbrt.f64 (pow.f64 f 2)) (.f64 (PI.f64) -1/4)) (.f64 2 (cbrt.f64 f)))
(.f64 (.f64 (*.f64 -1/4 (cbrt.f64 f)) (+.f64 (PI.f64) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2) (+.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) (cbrt.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 f 2)) (+.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 f)) (.f64 (*.f64 (PI.f64) -1/4) (cbrt.f64 f))))
(.f64 (.f64 (*.f64 -1/4 (cbrt.f64 f)) (+.f64 (PI.f64) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) f) (+.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (cbrt.f64 (.f64 (PI.f64) -1/4))))
(.f64 (.f64 2 f) (cbrt.f64 (.f64 (.f64 -1/4 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) (+.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2) (pow.f64 (cbrt.f64 (.f64 f (*.f64 (PI.f64) -1/4))) 2)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (cbrt.f64 f) (+.f64 (.f64 (cbrt.f64 (pow.f64 f 2)) (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (pow.f64 f 2)) (*.f64 (PI.f64) -1/4))))
(.f64 (.f64 (*.f64 -1/4 (cbrt.f64 f)) (+.f64 (PI.f64) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(.f64 (.f64 f -1/4) (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 f)) (.f64 2 (cbrt.f64 (pow.f64 f 2))))
(.f64 (.f64 (*.f64 -1/4 (cbrt.f64 f)) (+.f64 (PI.f64) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(.f64 (.f64 f (cbrt.f64 (.f64 (PI.f64) -1/4))) (+.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (.f64 1/16 (*.f64 (PI.f64) (PI.f64))))))
(.f64 (.f64 2 f) (cbrt.f64 (.f64 (.f64 -1/4 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) (+.f64 (.f64 f (cbrt.f64 (.f64 (PI.f64) -1/4))) (.f64 f (cbrt.f64 (*.f64 (PI.f64) -1/4)))))
(.f64 (.f64 2 f) (cbrt.f64 (.f64 (.f64 -1/4 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(.f64 (.f64 (+.f64 f f) (cbrt.f64 (.f64 (PI.f64) -1/4))) (cbrt.f64 (.f64 1/16 (*.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 2 f) (cbrt.f64 (.f64 (.f64 -1/4 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(.f64 1 (.f64 (*.f64 (PI.f64) f) -1/2))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 2 (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 -1/4 (.f64 (PI.f64) (+.f64 f f)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (*.f64 (PI.f64) f) -1/2) 1)
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 f (*.f64 (PI.f64) -1/4)) 2)
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) f) -1/2)
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 (.f64 (+.f64 f f) (PI.f64)) -1/4)
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(/.f64 (.f64 (.f64 (PI.f64) f) -1/2) 1)
(.f64 (.f64 f (PI.f64)) -1/2)
(fma.f64 f (.f64 (PI.f64) -1/4) (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 (.f64 (PI.f64) -1/4) f (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) f) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (cbrt.f64 (.f64 -1/4 (PI.f64))) (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/16)) f) (.f64 -1/4 (.f64 f (PI.f64))))
(fma.f64 (PI.f64) (.f64 -1/4 f) (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (.f64 f (.f64 (PI.f64) -1/4))) 2) (.f64 f (.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 (cbrt.f64 f) (.f64 (cbrt.f64 (pow.f64 f 2)) (.f64 (PI.f64) -1/4)) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (cbrt.f64 f) (.f64 (.f64 (cbrt.f64 (pow.f64 f 2)) (PI.f64)) -1/4) (.f64 -1/4 (.f64 f (PI.f64))))
(fma.f64 (.f64 f -1/4) (PI.f64) (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 (.f64 (.f64 (PI.f64) -1/4) (cbrt.f64 f)) (cbrt.f64 (pow.f64 f 2)) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 (PI.f64) (.f64 -1/4 (cbrt.f64 f))) (cbrt.f64 (pow.f64 f 2)) (.f64 -1/4 (.f64 f (PI.f64))))
(fma.f64 (.f64 f (cbrt.f64 (.f64 (PI.f64) -1/4))) (cbrt.f64 (.f64 1/16 (.f64 (PI.f64) (PI.f64)))) (.f64 f (.f64 (PI.f64) -1/4)))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/4 (PI.f64))) f) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/16)) (.f64 -1/4 (.f64 f (PI.f64))))
(fma.f64 (.f64 f (PI.f64)) -1/4 (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 -1/4 (.f64 (PI.f64) f) (.f64 f (*.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 1 (.f64 f (.f64 (PI.f64) -1/4)) (.f64 f (.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(fma.f64 (.f64 f (.f64 (PI.f64) -1/4)) 1 (.f64 f (.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 1)
(.f64 (.f64 f (PI.f64)) -1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) f) -1/2)) 3)
(.f64 (.f64 f (PI.f64)) -1/2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 3) 1/3)
(.f64 (.f64 f (PI.f64)) -1/2)
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) f) -1/2) 3))
(.f64 (.f64 f (PI.f64)) -1/2)
(if (!=.f64 (.f64 f (.f64 (PI.f64) -1/4)) 0) (.f64 (.f64 f (.f64 (PI.f64) -1/4)) (/.f64 (.f64 (.f64 (PI.f64) f) -1/2) (.f64 f (.f64 (PI.f64) -1/4)))) (.f64 (*.f64 (PI.f64) f) -1/2))
(if (!=.f64 (.f64 -1/4 (.f64 f (PI.f64))) 0) (.f64 (.f64 -1/4 (.f64 f (PI.f64))) (/.f64 (.f64 (.f64 f (PI.f64)) -1/2) (.f64 -1/4 (.f64 f (PI.f64))))) (.f64 (*.f64 f (PI.f64)) -1/2))
(if (!=.f64 (.f64 f (.f64 (PI.f64) -1/4)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 3)) (+.f64 0 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 2))) (.f64 (*.f64 (PI.f64) f) -1/2))
(if (!=.f64 (.f64 -1/4 (.f64 f (PI.f64))) 0) (/.f64 (.f64 2 (pow.f64 (.f64 -1/4 (.f64 f (PI.f64))) 3)) (pow.f64 (.f64 -1/4 (.f64 f (PI.f64))) 2)) (.f64 (*.f64 f (PI.f64)) -1/2))
(if (!=.f64 (+.f64 0 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 2)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 3)) (+.f64 0 (pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) 2))) (.f64 (*.f64 (PI.f64) f) -1/2))
(if (!=.f64 (pow.f64 (.f64 -1/4 (.f64 f (PI.f64))) 2) 0) (/.f64 (.f64 2 (pow.f64 (.f64 -1/4 (.f64 f (PI.f64))) 3)) (pow.f64 (.f64 -1/4 (.f64 f (PI.f64))) 2)) (.f64 (*.f64 f (PI.f64)) -1/2))
(if (!=.f64 0 0) 0 (.f64 (.f64 (PI.f64) f) -1/2))
(if (!=.f64 0 0) 0 (.f64 (.f64 f (PI.f64)) -1/2))
(+.f64 (.f64 f (.f64 (PI.f64) -1/4)) (.f64 f (.f64 (PI.f64) -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(+.f64 (.f64 (.f64 -1/4 f) (PI.f64)) (.f64 (.f64 -1/4 f) (PI.f64)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 f -1/4)) (.f64 (PI.f64) (.f64 f -1/4)))
(.f64 (.f64 -1/4 f) (+.f64 (PI.f64) (PI.f64)))

eval317.0ms (0.2%)

Compiler: Compiled 16693 to 12450 computations (25.4% saved)

prune67.0ms (0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	360	9	369
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	361	9	370

Error

0.0b

Counts

370 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4))) 3)
	0.6b	(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (PI.f64)) (cbrt.f64 -1/4)) (cbrt.f64 1/16))
	1.1b	(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64)) (cbrt.f64 (*.f64 -1/4 1/16)))
▶	0.3b	(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64)) -1/4)
▶	0.6b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2)))) 3)) -4) (PI.f64))
▶	1.9b	(/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))
▶	0.9b	(.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (*.f64 (PI.f64) f) -1/2)))) (PI.f64)) (cbrt.f64 -1/4)) (/.f64 1 (cbrt.f64 1/16)))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4)) 3))
	0.6b	(cbrt.f64 (/.f64 (.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64)) -1/4) (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 2)) (.f64 (*.f64 (PI.f64) (PI.f64)) 1/16)))

Compiler

Compiled 492 to 400 computations (18.7% saved)

localize44.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)
✓	0.2b	(*.f64 f (PI.f64))
✓	0.3b	(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
✓	0.3b	(/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))

Compiler

Compiled 128 to 81 computations (36.7% saved)

series121.0ms (0.1%)

Counts

4 → 31

Calls

12 calls:

Time	Variable		Point	Expression
43.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
18.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
3.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
1.0ms	f	@	0	(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
0.0ms	f	@	0	(pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)

Compiler

Compiled 7910 to 6260 computations (20.9% saved)

rewrite1.9s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

246×	`egg-rr`
111×	`egg-rr`
58×	`egg-rr`
28×	`egg-rr`

Counts

4 → 443

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
(*.f64 f (PI.f64))
(pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)

Outputs
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simplify6.9s (4.6%)

Algorithm

1×

egglog

Counts

474 → 707

Calls

Call 1

Inputs
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(pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) 3/2))
(neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0))
(if (!=.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 -1 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
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(if (!=.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4) 0) (/.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 1 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
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(+.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 1)
(+.f64 0 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(+.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0)
(+.f64 (-.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 3) 3)
(exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))
(exp.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3))
(exp.f64 (+.f64 0 (.f64 (PI.f64) (.f64 f -1/2))))
(exp.f64 (+.f64 0 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3)))
(exp.f64 (+.f64 (.f64 (PI.f64) (.f64 f -1/2)) 0))
(exp.f64 (+.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3) 0))
(exp.f64 (.f64 (.f64 (+.f64 2 1) (.f64 (PI.f64) (.f64 f -1/2))) 1/3))
(exp.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3) 1))
(exp.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 1/3) 3))
(exp.f64 (.f64 (.f64 (.f64 (.f64 f (*.f64 1/4 (PI.f64))) 3) 1/3) -2))
(exp.f64 (-.f64 (.f64 (PI.f64) (.f64 f -1/2)) 0))
(exp.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3) 0))

Outputs
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(/.f64 (log.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 2))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))
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(pow.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) 2)
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(if (!=.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (pow.f64 (/.f64 (neg.f64 -1) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) -1) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (/.f64 (neg.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0) (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))) (/.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (neg.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) -1/3)) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4) 0) (/.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) 0) (/.f64 (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4) (sqrt.f64 (sqrt.f64 (exp.f64 (*.f64 f (PI.f64)))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 1 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (pow.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) -1/3)) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 0 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0) (exp.f64 (-.f64 (.f64 (PI.f64) (neg.f64 f)) (.f64 (PI.f64) (*.f64 f -1/2)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0) (exp.f64 (.f64 (PI.f64) (-.f64 (neg.f64 f) (.f64 f -1/2)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (/.f64 (neg.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (/.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 0 0) 0 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) 0) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) 3/2) (+.f64 0 (+.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) (*.f64 0 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
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(if (!=.f64 (+.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) 0) 0) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) (.f64 0 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))))) 0) (/.f64 (pow.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) 3/2) (+.f64 0 (+.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))) (.f64 0 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))))))) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
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(+.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 1)
(+.f64 (expm1.f64 (.f64 -1/2 (.f64 f (PI.f64)))) 1)
(+.f64 0 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))
(+.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 0)
(sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))
(+.f64 (-.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))) 3) 3)
(+.f64 (-.f64 3 3) (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64)))))
(exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))
(pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))
(exp.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (.f64 f (PI.f64))) (.f64 1/3 3)))
(exp.f64 (+.f64 0 (.f64 (PI.f64) (.f64 f -1/2))))
(pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))
(exp.f64 (+.f64 0 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3)))
(exp.f64 (.f64 (.f64 -1/2 (.f64 f (PI.f64))) (.f64 1/3 3)))
(exp.f64 (+.f64 (.f64 (PI.f64) (.f64 f -1/2)) 0))
(pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))
(exp.f64 (+.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3) 0))
(exp.f64 (.f64 (.f64 -1/2 (.f64 f (PI.f64))) (.f64 1/3 3)))
(exp.f64 (.f64 (.f64 (+.f64 2 1) (.f64 (PI.f64) (.f64 f -1/2))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (.f64 f (PI.f64))) (.f64 1/3 3)))
(exp.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3) 1))
(exp.f64 (.f64 (.f64 -1/2 (.f64 f (PI.f64))) (.f64 1/3 3)))
(exp.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 1/3) 3))
(exp.f64 (.f64 (.f64 -1/2 (.f64 f (PI.f64))) (.f64 1/3 3)))
(exp.f64 (.f64 (.f64 (.f64 (.f64 f (*.f64 1/4 (PI.f64))) 3) 1/3) -2))
(exp.f64 (.f64 -2 (.f64 1/3 (.f64 (.f64 f (*.f64 1/4 (PI.f64))) 3))))
(exp.f64 (-.f64 (.f64 (PI.f64) (.f64 f -1/2)) 0))
(pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))
(exp.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3) 0))
(exp.f64 (.f64 (.f64 -1/2 (.f64 f (PI.f64))) (.f64 1/3 3)))

localize19.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (PI.f64))
✓	0.3b	(/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))
✓	0.3b	(/.f64 -4 (*.f64 f (PI.f64)))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series58.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	f	@	inf	(/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))
15.0ms	f	@	-inf	(/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))
12.0ms	f	@	0	(/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))
1.0ms	f	@	inf	(/.f64 -4 (*.f64 f (PI.f64)))
0.0ms	f	@	0	(/.f64 -4 (*.f64 f (PI.f64)))

Compiler

Compiled 850 to 660 computations (22.4% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

219×	`egg-rr`
122×	`egg-rr`

Counts

2 → 341

Calls

Call 1

Inputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))

Outputs
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simplify4.9s (3.2%)

Algorithm

1×

egglog

Counts

341 → 420

Calls

Call 1

Inputs
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(+.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)))

Outputs
(*.f64 (/.f64 (cbrt.f64 -4) (PI.f64)) (/.f64 (cbrt.f64 16) f))
(/.f64 (/.f64 -4 f) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 -4) f) (/.f64 (cbrt.f64 16) (PI.f64)))
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(/.f64 (/.f64 -4 f) (PI.f64))
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(/.f64 (/.f64 -4 f) (PI.f64))
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(+.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 -1/4 (PI.f64)))

localize70.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
✓	0.3b	(/.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2)))) 3)) -4) (PI.f64))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3))
✓	0.6b	(pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3)

Compiler

Compiled 176 to 118 computations (33% saved)

series403.0ms (0.3%)

Counts

3 → 33

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	f	@	0	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3))
28.0ms	f	@	0	(pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3)
11.0ms	f	@	0	(/.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2)))) 3)) -4) (PI.f64))
4.0ms	f	@	-inf	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3))
4.0ms	f	@	-inf	(pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3)

Compiler

Compiled 44740 to 36165 computations (19.2% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`egg-rr`
18×	`egg-rr`
15×	`egg-rr`

Counts

3 → 110

Calls

Call 1

Inputs
(pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) 3))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (.f64 (*.f64 f (PI.f64)) -1/2)))) 3)) -4) (PI.f64))

Inputs

(pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (*.f64 (*.f64 f (PI.f64)) -1/2)))) 3)

(cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (*.f64 (*.f64 f (PI.f64)) -1/2)))) 3))

(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) 1/4)) -2)) (expm1.f64 (*.f64 (*.f64 f (PI.f64)) -1/2)))) 3)) -4) (PI.f64))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) 0) (pow.f64 (/.f64 1 (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64))))))) -1) (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (.f64 -1/2 (PI.f64)))))) (log.f64 (/.f64 (-.f64 -1 (sqrt.f64 (pow.f64 (exp.f64 f) (neg.f64 (PI.f64))))) (expm1.f64 (.f64 f (*.f64 -1/2 (PI.f64)))))))))))
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Outputs

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simplify4.7s (3.1%)

Algorithm

1×

egglog

Counts

143 → 164

Calls

Call 1

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

localize83.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))
✓	0.5b	(cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4)))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4))) 3)
	1.0b	(pow.f64 (exp.f64 1/4) (PI.f64))

Compiler

Compiled 161 to 116 computations (28% saved)

series370.0ms (0.2%)

Counts

3 → 30

Calls

9 calls:

Time	Variable		Point	Expression
87.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4))) 3)
22.0ms	f	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4))) 3)
14.0ms	f	@	0	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4))) 3)
9.0ms	f	@	0	(cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4)))
1.0ms	f	@	0	(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))

Compiler

Compiled 29170 to 24020 computations (17.7% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

113×	`egg-rr`
93×	`egg-rr`
39×	`egg-rr`

Counts

3 → 245

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4))) 3)

(cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) -1/2)))) (*.f64 (PI.f64) -1/4)))

(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) -1/2)))

Outputs

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simplify35.4s (23.6%)

Algorithm

1×

egglog

Counts

275 → 330

Calls

Call 1

Inputs
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(+.f64 (.f64 (/.f64 1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (neg.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2))) (/.f64 -1 (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f)))))
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Outputs
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(if (!=.f64 (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) -1) 0) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) 3)) (/.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4)) 1) (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))) (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))
(if (!=.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) 0) (.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f)))))
(if (!=.f64 (/.f64 -1 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))) 0) (/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) -1) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))) (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) -1))) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))) (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) 2) (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))) (.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) 3)) (+.f64 (pow.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) 2) (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))) (.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))))) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))
(if (!=.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) 2)) (pow.f64 (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) -1) 2)) 0) (/.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) 3)) (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) 3)) (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) 2)) (pow.f64 (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) -1) 2))) (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))
(if (!=.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) 3)) (+.f64 (pow.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) 2) (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))) (.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))))) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))
(if (!=.f64 (/.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) (neg.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) 0) (/.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) 3)) (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) 3)) (+.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) 2)) (pow.f64 (pow.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) -1) 2))) (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1) (+.f64 1 (pow.f64 (exp.f64 -1/2) (.f64 (PI.f64) f)))) 0) (.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (.f64 (PI.f64) f)) 3) -1)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1) (+.f64 1 (pow.f64 (exp.f64 -1/2) (.f64 (PI.f64) f))))) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))
(if (!=.f64 (+.f64 (exp.f64 (.f64 (.f64 -1/2 f) (PI.f64))) (+.f64 (exp.f64 (neg.f64 (.f64 f (PI.f64)))) 1)) 0) (.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (-.f64 (pow.f64 (exp.f64 (.f64 (.f64 -1/2 f) (PI.f64))) 3) 1)) (+.f64 (exp.f64 (.f64 (.f64 -1/2 f) (PI.f64))) (+.f64 (exp.f64 (neg.f64 (.f64 f (PI.f64)))) 1))) (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))
(if (!=.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) 0) (/.f64 1 (/.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))) (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)))) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))
(if (!=.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) -1) 0) (/.f64 -1 (/.f64 (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))) (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) -1))) (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))))
(if (!=.f64 (-.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -4) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) 2)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -4) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2))) 0) (.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) 3)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -4) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) 3))) (-.f64 (+.f64 1 (pow.f64 (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -4) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) 2)) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -4) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)))) (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f)))))
(if (!=.f64 (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) 2) -1) (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4))) 0) (.f64 (/.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) 3)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64)))) (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) 3) -1)) (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) 2) -1) (-.f64 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2) (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -4)))) (/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64)))))
(+.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))
(+.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2) (neg.f64 (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f))))) 1))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))
(+.f64 (.f64 (/.f64 1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (neg.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2))) (/.f64 -1 (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f)))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))
(+.f64 (/.f64 -1 (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f)))) (.f64 (/.f64 1 (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f)))) (neg.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))

localize181.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (.f64 (PI.f64) f) -1/2)))
✓	0.3b	(.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 (*.f64 (PI.f64) f) -1/2)))) (PI.f64)) (cbrt.f64 -1/4)) (/.f64 1 (cbrt.f64 1/16)))
	1.0b	(pow.f64 (exp.f64 1/4) (PI.f64))
✓	1.0b	(/.f64 1 (cbrt.f64 1/16))

Compiler

Compiled 168 to 124 computations (26.2% saved)

series98.0ms (0.1%)

Counts

2 → 10

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) -1/2)))) (PI.f64)) (cbrt.f64 -1/4)) (/.f64 1 (cbrt.f64 1/16)))

5.0ms

(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) -1/2)))) (PI.f64)) (cbrt.f64 -1/4)) (/.f64 1 (cbrt.f64 1/16)))

1.0ms

-inf

(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) -1/2)))) (PI.f64)) (cbrt.f64 -1/4)) (/.f64 1 (cbrt.f64 1/16)))

Compiler

Compiled 4730 to 3970 computations (16.1% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

90×	`egg-rr`
48×	`egg-rr`

Counts

2 → 138

Calls

Call 1

Inputs

(/.f64 1 (cbrt.f64 1/16))

(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) -1/2)))) (PI.f64)) (cbrt.f64 -1/4)) (/.f64 1 (cbrt.f64 1/16)))

Outputs

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simplify4.0s (2.7%)

Algorithm

1×

egglog

Counts

148 → 163

Calls

Call 1

Inputs
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(*.f64 (pow.f64 1/2 -1/3) (pow.f64 1/8 -1/3))
(*.f64 (pow.f64 1/4 -1/3) (pow.f64 1/4 -1/3))
(*.f64 (pow.f64 1/8 -1/3) (pow.f64 1/2 -1/3))
(*.f64 (cbrt.f64 (pow.f64 1/16 -2/3)) (cbrt.f64 (cbrt.f64 16)))
(*.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (pow.f64 1/16 -2/3)))
(*.f64 -1 (cbrt.f64 -16))
(*.f64 (cbrt.f64 -16) -1)
(*.f64 1 (cbrt.f64 16))
(*.f64 (cbrt.f64 16) 1)
(-.f64 (/.f64 0 (cbrt.f64 -1/16)) (cbrt.f64 -16))
(-.f64 0 (cbrt.f64 -16))
(/.f64 (cbrt.f64 (cbrt.f64 -16)) (neg.f64 (cbrt.f64 (cbrt.f64 1/256))))
(/.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 1/256)))
(/.f64 (cbrt.f64 (pow.f64 1/16 -2/3)) (cbrt.f64 (cbrt.f64 1/16)))
(/.f64 1/3 (/.f64 (cbrt.f64 1/16) 3))
(/.f64 -1 (cbrt.f64 -1/16))
(/.f64 -1 (*.f64 (cbrt.f64 (cbrt.f64 1/256)) (cbrt.f64 (cbrt.f64 -1/16))))
(/.f64 1 (cbrt.f64 1/16))
(/.f64 (cbrt.f64 16) 1)
(pow.f64 1/4 -2/3)
(pow.f64 1/16 -1/3)
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(pow.f64 (cbrt.f64 (cbrt.f64 16)) 3)
(pow.f64 (cbrt.f64 1/16) -1)
(pow.f64 1/4096 -1/9)
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(cbrt.f64 16)
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(neg.f64 (*.f64 (cbrt.f64 16) -1))
(neg.f64 (*.f64 (cbrt.f64 -16) 1))
(if (!=.f64 (cbrt.f64 1/16) 0) (cbrt.f64 16) (cbrt.f64 16))
(if (!=.f64 1/16 0) (cbrt.f64 16) (cbrt.f64 16))
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(if (!=.f64 (cbrt.f64 -1/4) 0) (pow.f64 (cbrt.f64 -1/4) -2) (cbrt.f64 16))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/16)) 0) (pow.f64 (cbrt.f64 (cbrt.f64 1/16)) -3) (cbrt.f64 16))
(if (!=.f64 (cbrt.f64 1/4) 0) (pow.f64 (cbrt.f64 1/4) -2) (cbrt.f64 16))
(if (!=.f64 1 0) (cbrt.f64 16) (cbrt.f64 16))
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(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64))) 1)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64))) 3))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) (cbrt.f64 1/4))) (cbrt.f64 1/16)))
(neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/16) (.f64 (cbrt.f64 -1/4) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) (cbrt.f64 1/16))) (cbrt.f64 1/4)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 (cbrt.f64 -1/4) (PI.f64))) (cbrt.f64 -1/16)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (neg.f64 (PI.f64))) -1/4))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (PI.f64)) 1/4))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) (cbrt.f64 -16)))
(neg.f64 (.f64 (cbrt.f64 16) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (PI.f64) (cbrt.f64 1/4)))))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) -1))
(neg.f64 (.f64 (cbrt.f64 -16) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64)))))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (PI.f64) (cbrt.f64 1/4))) (cbrt.f64 16)))
(neg.f64 (.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))))
(neg.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64))) -4))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 2)))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 0) (pow.f64 (/.f64 1 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64)))) -1) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64))))
(if (!=.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) 0) (/.f64 1 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) -1)) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64))))
(if (!=.f64 (cbrt.f64 -4) 0) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 1 0) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))

Outputs
(+.f64 (.f64 -1 (/.f64 (log.f64 f) (.f64 (cbrt.f64 -1/4) (.f64 (PI.f64) (cbrt.f64 1/16))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 f (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (.f64 (cbrt.f64 -1/4) (cbrt.f64 1/16)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -2 (/.f64 (+.f64 (.f64 -2 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/2 (pow.f64 (.f64 1/4 (PI.f64)) 2)))) (.f64 1/16 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))))) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 (.f64 -1 (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) 2) (pow.f64 (/.f64 4 (PI.f64)) 2)))) (pow.f64 f 2)) (.f64 (cbrt.f64 -1/4) (.f64 (PI.f64) (cbrt.f64 1/16))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (cbrt.f64 -1/4) (*.f64 (PI.f64) (cbrt.f64 1/16)))))))
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(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) (cbrt.f64 1/4))) (cbrt.f64 1/16)))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/16) (.f64 (cbrt.f64 -1/4) (PI.f64)))))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) (cbrt.f64 1/16))) (cbrt.f64 1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 (cbrt.f64 -1/4) (PI.f64))) (cbrt.f64 -1/16)))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (neg.f64 (PI.f64))) -1/4))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (PI.f64)) 1/4))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) (cbrt.f64 -16)))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (.f64 (cbrt.f64 16) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (PI.f64) (cbrt.f64 1/4)))))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) -1))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (.f64 (cbrt.f64 -16) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64)))))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (PI.f64) (cbrt.f64 1/4))) (cbrt.f64 16)))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64))) -4))
(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64)))) (cbrt.f64 (/.f64 1/16 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 2)))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 2)) 0) (cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) (/.f64 1/16 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 2)))) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)))
(if (!=.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 0) (pow.f64 (/.f64 1 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64)))) -1) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64))))
(if (!=.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) (.f64 (cbrt.f64 -1/4) (PI.f64))) 0) (pow.f64 (/.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) (.f64 1/4 (PI.f64)))) -1) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (*.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)))
(if (!=.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) 0) (/.f64 1 (pow.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) -1)) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (*.f64 -1/4 (PI.f64))))
(if (!=.f64 (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)) 0) (pow.f64 (/.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) (.f64 1/4 (PI.f64)))) -1) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)))
(if (!=.f64 (cbrt.f64 -4) 0) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 (cbrt.f64 -4) 0) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)))
(if (!=.f64 1 0) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))) (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 1 0) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) -2)) (expm1.f64 (.f64 (.f64 -1/2 f) (PI.f64))))) -1/4) (PI.f64)))

eval2.4s (1.6%)

Compiler: Compiled 139396 to 93606 computations (32.8% saved)

prune825.0ms (0.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	2473	19	2492
Fresh	4	0	4
Picked	1	0	1
Done	4	0	4
Total	2482	19	2501

Error

0.0b

Counts

2501 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(pow.f64 (if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))) (/.f64 (cbrt.f64 (.f64 -1/4 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))) 2))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))) 3)
	2.8b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4))) 3)
	2.7b	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (cbrt.f64 (*.f64 -1/4 1/16)))
▶	0.3b	(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64)) -1/4)
	2.5b	(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64)) -1/4)
	29.4b	(/.f64 (/.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (PI.f64) (neg.f64 f)))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 2))) (PI.f64)) -1/4)
▶	2.2b	(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) (cbrt.f64 1/16))
	29.4b	(/.f64 (-.f64 3 (+.f64 (/.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64))))) (pow.f64 (expm1.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 2))) (neg.f64 (PI.f64))) 3)) -1/4)
▶	2.2b	(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) -4) (PI.f64))
	2.3b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (.f64 (.f64 (cbrt.f64 1/16) (PI.f64)) (cbrt.f64 -1/4)))
	1.9b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 -1/4 (PI.f64)))
	1.9b	(/.f64 (log.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (.f64 f (PI.f64)))) 3))) (.f64 (PI.f64) -1/4))
	2.2b	(/.f64 (log.f64 (neg.f64 (/.f64 (/.f64 -4 f) (PI.f64)))) (*.f64 (PI.f64) -1/4))
▶	1.9b	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) 3))) (.f64 (PI.f64) -1/4))
	1.9b	(/.f64 (log.f64 (neg.f64 (-.f64 1 (-.f64 1 (/.f64 -4 (.f64 f (PI.f64))))))) (.f64 (PI.f64) -1/4))
	29.5b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (PI.f64) (neg.f64 f)))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 2))) (PI.f64)) 3)) -1/4)
	2.0b	(.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (.f64 (PI.f64) (cbrt.f64 -1/4))) (pow.f64 1/16 -1/3))
▶	2.0b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
	2.3b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)) 3))

Compiler

Compiled 780 to 650 computations (16.7% saved)

localize43.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (.f64 f -1/2))
	0.2b	(*.f64 f (PI.f64))
✓	0.3b	(/.f64 (log.f64 (/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
✓	0.3b	(/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))

Compiler

Compiled 111 to 73 computations (34.2% saved)

series74.0ms (0%)

Counts

3 → 31

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
15.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
2.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64))
1.0ms	f	@	0	(/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))
1.0ms	f	@	inf	(/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))

Compiler

Compiled 5760 to 4335 computations (24.7% saved)

rewrite1.8s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`egg-rr`
62×	`egg-rr`
39×	`egg-rr`

Counts

3 → 358

Calls

Call 1

Inputs

(/.f64 (-.f64 -1 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (expm1.f64 (*.f64 (*.f64 f (PI.f64)) -1/2)))

(/.f64 (log.f64 (/.f64 (-.f64 -1 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (expm1.f64 (*.f64 (*.f64 f (PI.f64)) -1/2)))) (PI.f64))

(*.f64 (PI.f64) (*.f64 f -1/2))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 f (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) -1/2) f)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 2)) (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 f) (*.f64 (cbrt.f64 (pow.f64 f 2)) (*.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 f -1/2)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 f 2))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 f -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 f (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (*.f64 (*.f64 f (PI.f64)) (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 f (PI.f64)) (cbrt.f64 1/4)) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 f 2)) (*.f64 (PI.f64) -1/2)) (cbrt.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 f 2))) (PI.f64)) (cbrt.f64 (*.f64 f -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 f -1/2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2)) -1/2) (cbrt.f64 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f -1/2) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (*.f64 (*.f64 f (PI.f64)) (cbrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 f 2))) (*.f64 (PI.f64) (cbrt.f64 (*.f64 f -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2)) (*.f64 -1/2 (cbrt.f64 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 f -1/2) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 f (PI.f64)) (cbrt.f64 -1/2)) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 f -1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 f 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (cbrt.f64 (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 f -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 f -1/2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 f (PI.f64)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 f (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 0) (pow.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 f -1/2))) -1) (*.f64 (PI.f64) (*.f64 f -1/2)))))))

simplify7.5s (5%)

Algorithm

1×

egglog

Counts

389 → 481

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))
(+.f64 (.f64 -1/4 (.f64 f (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))))) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 (.f64 -1 (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) 2) (pow.f64 (/.f64 4 (PI.f64)) 2)))) (pow.f64 f 2)) (PI.f64))))))
(+.f64 (.f64 -1/4 (.f64 f (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2)))))) (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 2 (/.f64 (pow.f64 (.f64 -1 (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3))) (+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))))) (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (pow.f64 (/.f64 4 (PI.f64)) 2))) (.f64 -3/2 (.f64 (-.f64 (.f64 -1/3 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (PI.f64))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (-.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (PI.f64)))))) (PI.f64))) (.f64 1/3 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 4) (pow.f64 (PI.f64) 2)))))) (PI.f64)))))) (PI.f64))) (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 -1 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))))) (PI.f64))) (.f64 -1 (/.f64 (pow.f64 (.f64 -1 (-.f64 1 (.f64 4 (/.f64 (pow.f64 (.f64 -1/2 (PI.f64)) 2) (pow.f64 (PI.f64) 2))))) 2) (pow.f64 (/.f64 4 (PI.f64)) 2)))) (pow.f64 f 2)) (PI.f64)))))))
(/.f64 (log.f64 (.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))
(/.f64 (log.f64 (.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))
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(/.f64 (log.f64 (.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))
(/.f64 (log.f64 (.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))
(/.f64 (log.f64 (.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))
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(/.f64 (log.f64 (.f64 -1 (/.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 -1/2 (.f64 f (PI.f64)))
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(.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2))) (/.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))))
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(.f64 -1 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))
(.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 f (PI.f64))))))))
(.f64 (cbrt.f64 (/.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))))) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (exp.f64 (neg.f64 (.f64 f (PI.f64))))) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 2))))
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(if (!=.f64 (+.f64 (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (neg.f64 (PI.f64)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (PI.f64))) 3) (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (neg.f64 (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (PI.f64)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (PI.f64)) 2) (.f64 0 (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/2))) 2)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 2)))) (PI.f64)))
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(+.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 2)))) (PI.f64)))
(+.f64 0 (/.f64 (log.f64 (/.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64)))) (neg.f64 (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 2)))) (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/2))
(.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f -1/2))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (*.f64 f -1/2)) 2)))
(.f64 (.f64 (PI.f64) -1/2) f)
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 2)) (cbrt.f64 (.f64 (PI.f64) (*.f64 f -1/2))))
(.f64 (cbrt.f64 f) (.f64 (cbrt.f64 (pow.f64 f 2)) (*.f64 (PI.f64) -1/2)))
(.f64 (cbrt.f64 (.f64 f -1/2)) (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 f 2))) (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 f -1/2)))
(.f64 (cbrt.f64 (.f64 f (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) 2)) -1/2))
(.f64 (cbrt.f64 -1/2) (.f64 (*.f64 f (PI.f64)) (cbrt.f64 1/4)))
(.f64 (.f64 (*.f64 f (PI.f64)) (cbrt.f64 1/4)) (cbrt.f64 -1/2))
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(.f64 (.f64 (cbrt.f64 (.f64 1/4 (pow.f64 f 2))) (PI.f64)) (cbrt.f64 (.f64 f -1/2)))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 f -1/2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) 2)) -1/2) (cbrt.f64 (.f64 f (PI.f64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 f -1/2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 1/4) (.f64 (*.f64 f (PI.f64)) (cbrt.f64 -1/2)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 f 2))) (.f64 (PI.f64) (cbrt.f64 (.f64 f -1/2))))
(.f64 (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) 2)) (.f64 -1/2 (cbrt.f64 (.f64 f (PI.f64)))))
(.f64 (.f64 (.f64 f -1/2) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (*.f64 f (PI.f64)) (cbrt.f64 -1/2)) (cbrt.f64 1/4))
(.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 f -1/2))) (cbrt.f64 (.f64 1/4 (pow.f64 f 2))))
(.f64 (.f64 -1/2 (cbrt.f64 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) 2)))
(.f64 (PI.f64) (.f64 f -1/2))
(.f64 (.f64 f -1/2) (PI.f64))
(.f64 1 (.f64 (PI.f64) (*.f64 f -1/2)))
(.f64 (.f64 f (PI.f64)) -1/2)
(.f64 -1 (neg.f64 (.f64 (PI.f64) (*.f64 f -1/2))))
(.f64 (.f64 (PI.f64) (*.f64 f -1/2)) 1)
(.f64 -1/2 (.f64 f (PI.f64)))
(.f64 (neg.f64 (.f64 (PI.f64) (*.f64 f -1/2))) -1)
(-.f64 0 (neg.f64 (.f64 (PI.f64) (.f64 f -1/2))))
(/.f64 (.f64 (PI.f64) (.f64 f -1/2)) 1)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3) 1/3)
(pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f -1/2))) 3)
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f -1/2)) 3))
(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 f -1/2))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f -1/2)))) 3))
(if (!=.f64 (.f64 (PI.f64) (.f64 f -1/2)) 0) (pow.f64 (/.f64 1 (.f64 (PI.f64) (.f64 f -1/2))) -1) (.f64 (PI.f64) (.f64 f -1/2)))

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

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (PI.f64))
✓	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.4b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))

Compiler

Compiled 32 to 18 computations (43.8% saved)

series33.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	f	@	-inf	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
7.0ms	f	@	0	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
7.0ms	f	@	inf	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
0.0ms	f	@	0	(/.f64 4 (*.f64 f (PI.f64)))
0.0ms	f	@	-inf	(/.f64 4 (*.f64 f (PI.f64)))

Compiler

Compiled 790 to 600 computations (24.1% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

175×	`egg-rr`
75×	`egg-rr`

Counts

2 → 250

Calls

Call 1

Inputs
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))

Outputs

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simplify4.5s (3%)

Algorithm

1×

egglog

Counts

250 → 299

Calls

Call 1

Inputs
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(if (!=.f64 (/.f64 2 (cbrt.f64 (pow.f64 f 2))) 0) (/.f64 (/.f64 2 (cbrt.f64 f)) (/.f64 (PI.f64) (/.f64 2 (cbrt.f64 (pow.f64 f 2))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 2 f) 0) (/.f64 2 (/.f64 (PI.f64) (/.f64 2 f))) (/.f64 4 (*.f64 f (PI.f64))))
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(if (!=.f64 (.f64 (.f64 f (PI.f64)) 1/4) 0) (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))
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(+.f64 (*.f64 (/.f64 (pow.f64 f -1) (PI.f64)) 3) (/.f64 (pow.f64 f -1) (PI.f64)))
(+.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) (.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))
(+.f64 (.f64 (/.f64 2 (.f64 f (PI.f64))) 1) (.f64 (/.f64 2 (.f64 f (PI.f64))) 1))
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(+.f64 (-.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64))))

Outputs
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))
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(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) -1/4))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))
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(.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (.f64 (/.f64 -4 (PI.f64)) (/.f64 16 (*.f64 (PI.f64) (PI.f64))))))
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(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))
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(if (!=.f64 (.f64 1/4 (.f64 f (PI.f64))) 0) (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 4 (.f64 f (PI.f64))) 0) (/.f64 1 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) -1)) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0) (pow.f64 (/.f64 1 (/.f64 (/.f64 4 (PI.f64)) f)) -1) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (+.f64 0 (/.f64 -4 (.f64 f (PI.f64)))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (+.f64 0 (/.f64 -4 (.f64 f (PI.f64))))) (/.f64 4 (.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (-.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (/.f64 -4 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (-.f64 (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 f (PI.f64)))) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (/.f64 -4 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 0 (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 f (PI.f64))) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 f (PI.f64)))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 0 (/.f64 -4 (.f64 f (PI.f64)))))) 0) (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 0 (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (.f64 f (PI.f64))))
(if (!=.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 -4 (.f64 f (PI.f64)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 f (PI.f64)))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 -4 (.f64 f (PI.f64)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 f (PI.f64))) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 f (PI.f64)))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 0 (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (*.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (*.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(if (!=.f64 (/.f64 0 (.f64 f (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 f (PI.f64))) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 f (PI.f64)))) (+.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 -4 (.f64 f (PI.f64))))))) (/.f64 4 (*.f64 f (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) (pow.f64 (/.f64 -4 (*.f64 f (PI.f64))) 2)) (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 0 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 4 (.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 0 (/.f64 -1 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (/.f64 2 (.f64 f (PI.f64))) (/.f64 2 (.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 0 (/.f64 (pow.f64 f -1) (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (/.f64 (pow.f64 f -1) (PI.f64)) (*.f64 3 (/.f64 (pow.f64 f -1) (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (*.f64 3 (/.f64 (pow.f64 f -1) (PI.f64))) (/.f64 (pow.f64 f -1) (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 1/2 (/.f64 4 (.f64 f (PI.f64)))) (.f64 1/2 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 (/.f64 -1 (.f64 f (PI.f64))) 0) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 (/.f64 (pow.f64 f -1) (PI.f64)) 0) (/.f64 4 (.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (/.f64 (pow.f64 f -1) (PI.f64)) (*.f64 (/.f64 (pow.f64 f -1) (PI.f64)) 3))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (*.f64 (/.f64 (pow.f64 f -1) (PI.f64)) 3) (/.f64 (pow.f64 f -1) (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) (.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 (/.f64 2 (.f64 f (PI.f64))) 1) (.f64 (/.f64 2 (.f64 f (PI.f64))) 1))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (-.f64 0 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (/.f64 4 (.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (-.f64 0 (/.f64 0 (.f64 f (PI.f64)))) (/.f64 4 (.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (-.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (-.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) f)) (/.f64 0 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (-.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 (neg.f64 (PI.f64)) f))) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (-.f64 (/.f64 0 (.f64 f (PI.f64))) (/.f64 0 (.f64 f (PI.f64)))) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)

localize33.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (PI.f64))
✓	0.2b	(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 3) 3)
✓	0.3b	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) 3))) (.f64 (PI.f64) -1/4))
	0.3b	(/.f64 -4 (*.f64 f (PI.f64)))

Compiler

Compiled 69 to 46 computations (33.3% saved)

series8.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) 3))) (.f64 (PI.f64) -1/4))
0.0ms	f	@	-inf	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) 3))) (.f64 (PI.f64) -1/4))
0.0ms	f	@	inf	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) 3))) (.f64 (PI.f64) -1/4))
0.0ms	f	@	0	(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 3) 3)
0.0ms	f	@	inf	(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 3) 3)

Compiler

Compiled 1150 to 785 computations (31.7% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

252×	`egg-rr`
48×	`egg-rr`

Counts

2 → 300

Calls

Call 1

Inputs
(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) 3))) (.f64 (PI.f64) -1/4))
(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 3) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 1 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/64)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 (log.f64 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((x +.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 27) 27)))))

simplify4.2s (2.8%)

Algorithm

1×

egglog

Counts

312 → 368

Calls

Call 1

Inputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64))) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64)))))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))) 1)
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (*.f64 (PI.f64) 1/4)))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
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(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/4))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/64)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (PI.f64)))
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(.f64 -1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) (/.f64 1 1/4))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(-.f64 (/.f64 0 (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(-.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (cbrt.f64 -1/4)) (cbrt.f64 1/16))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 -1/4 (PI.f64)))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/16)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64))) 1)
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (.f64 -1/4 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/4)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (cbrt.f64 -1/4))) (neg.f64 (cbrt.f64 1/16)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 1/4)
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(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64))) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64))) 3))
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(if (!=.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 3) (pow.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (+.f64 (.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))))))) (/.f64 -4 (.f64 f (PI.f64))))
(if (!=.f64 (+.f64 9 (-.f64 (.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) -3) (+.f64 (/.f64 -4 (.f64 f (PI.f64))) -3)) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) -9))) 0) (/.f64 -4 (.f64 f (PI.f64))) (/.f64 -4 (.f64 f (PI.f64))))
(if (!=.f64 (+.f64 9 (-.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (.f64 -3 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64))))))) 0) (/.f64 -4 (.f64 f (PI.f64))) (/.f64 -4 (*.f64 f (PI.f64))))
(if (!=.f64 (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (+.f64 (.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 3) (pow.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (+.f64 (.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))))))) (/.f64 -4 (.f64 f (PI.f64))))
(if (!=.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) -3) 0) (/.f64 -4 (.f64 f (PI.f64))) (/.f64 -4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 3) (pow.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (+.f64 (.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)))) (.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))))))) (/.f64 -4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) (/.f64 -4 (.f64 f (PI.f64)))) (/.f64 -4 (.f64 f (PI.f64))))
(if (!=.f64 (/.f64 4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 -4 (.f64 f (PI.f64))))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18)) 0) (/.f64 -4 (.f64 f (PI.f64))) (/.f64 -4 (.f64 f (PI.f64))))
(+.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) -3)
(+.f64 -3 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))))
(+.f64 3 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3))
(+.f64 0 (/.f64 -4 (*.f64 f (PI.f64))))
(+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 0)
(+.f64 (/.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (.f64 f (PI.f64))) 18))) (neg.f64 (/.f64 27 (+.f64 (pow.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -12 (*.f64 f (PI.f64))) 18)))))
(+.f64 3 (.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) -3) 1))
(+.f64 (.f64 (+.f64 -3 (/.f64 4 (.f64 f (PI.f64)))) -1) -3)
(+.f64 -3 (.f64 (+.f64 -3 (/.f64 4 (.f64 f (PI.f64)))) -1))
(+.f64 3 (-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3) 0))
(+.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) (-.f64 -3 0))
(+.f64 3 (-.f64 -3 (/.f64 4 (*.f64 f (PI.f64)))))
(+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3) 3)
(+.f64 3 (+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3) 0))
(+.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) (+.f64 -3 0))
(+.f64 (+.f64 0 3) (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 1) 1)
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 9) 9)
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 27) 27)

Outputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))) 2)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64))) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 -1/4 (PI.f64))) 1)
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(cbrt.f64 (.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) -1/4) (/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (.f64 (PI.f64) (PI.f64))) 1/16)))
(.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/16)))))
(.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) -4))
(/.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 -4 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)))) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/64)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (PI.f64)))
(/.f64 (cbrt.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -1/64) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))) (PI.f64))
(.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (/.f64 -4 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) -4)
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -1/4) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 -1/4 (PI.f64)))) (/.f64 1 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) 1/16))))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/16)) (*.f64 (PI.f64) -1/4))))
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(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (cbrt.f64 (.f64 1/16 -1/4)))
(.f64 -1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) (/.f64 1 1/4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(-.f64 (/.f64 0 (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(-.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) 1/4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (cbrt.f64 -1/4)) (cbrt.f64 1/16))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (cbrt.f64 (.f64 1/16 -1/4)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 -1/4 (PI.f64)))) (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/16)))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/16)) (*.f64 (PI.f64) -1/4))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64))) 1)
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (.f64 -1/4 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))) (.f64 -1/4 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1/4)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(/.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (cbrt.f64 -1/4))) (neg.f64 (cbrt.f64 1/16)))
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(+.f64 -3 (.f64 (+.f64 -3 (/.f64 4 (.f64 f (PI.f64)))) -1))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 3 (-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3) 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) (-.f64 -3 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 3 (-.f64 -3 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3) 3)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 3 (+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3) 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) (+.f64 -3 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 0 3) (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -3))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 1) 1)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 9) 9)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 27) 27)
(/.f64 -4 (*.f64 (PI.f64) f))

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) -4) (PI.f64))
✓	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
✓	0.7b	(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)

Compiler

Compiled 61 to 46 computations (24.6% saved)

series48.0ms (0%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
1.0ms	f	@	-inf	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
1.0ms	f	@	inf	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
1.0ms	f	@	0	(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
1.0ms	f	@	-inf	(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) -4) (PI.f64))

Compiler

Compiled 4570 to 3505 computations (23.3% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

152×	`egg-rr`
108×	`egg-rr`
21×	`egg-rr`
15×	`egg-rr`

Counts

4 → 296

Calls

Call 1

Inputs
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) -4) (PI.f64))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 -1) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (/.f64 1 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 1/2 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1/2) (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 f) (/.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 4) f) (/.f64 (cbrt.f64 16) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (cbrt.f64 f)) (/.f64 1 (.f64 (PI.f64) (cbrt.f64 (pow.f64 f 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 2) (pow.f64 f 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (PI.f64)) (/.f64 2 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 2) (pow.f64 f 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> 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simplify4.7s (3.1%)

Algorithm

1×

egglog

Counts

308 → 354

Calls

Call 1

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

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (PI.f64))
✓	0.2b	(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4)))
	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.5b	(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) (cbrt.f64 1/16))

Compiler

Compiled 53 to 35 computations (34% saved)

series20.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4)))
1.0ms	f	@	0	(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) (cbrt.f64 1/16))
1.0ms	f	@	inf	(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) (cbrt.f64 1/16))
1.0ms	f	@	-inf	(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) (cbrt.f64 1/16))
1.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4)))

Compiler

Compiled 1870 to 1480 computations (20.9% saved)

rewrite1.6s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

148×	`egg-rr`
135×	`egg-rr`

Counts

2 → 283

Calls

Call 1

Inputs
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) (cbrt.f64 1/16))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4)))

Outputs

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simplify4.9s (3.2%)

Algorithm

1×

egglog

Counts

283 → 379

Calls

Call 1

Inputs
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(if (!=.f64 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (+.f64 0 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 0))) 0) (/.f64 (-.f64 (.f64 -4 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) 0) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (+.f64 0 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 0)))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 -1/4))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4)))))) 0) (/.f64 (.f64 -4 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))))
(if (!=.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 0) (/.f64 (+.f64 0 (.f64 -4 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3))) (+.f64 0 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) 0))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))))
(if (!=.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 0) (/.f64 (-.f64 (.f64 -4 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) 0) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (+.f64 0 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 0)))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 -1/4))))
(if (!=.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 -1/4))))
(if (!=.f64 0 0) (/.f64 (.f64 -4 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 2) (.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 -1/4))))
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(+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 1/4)))))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4)))))
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(+.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 1/9) 1/9)
(+.f64 (-.f64 (/.f64 0 (.f64 (PI.f64) (cbrt.f64 1/4))) (/.f64 0 (.f64 (PI.f64) (cbrt.f64 -1/4)))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))))
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(+.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 0)
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(+.f64 0 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) (cbrt.f64 4)))
(+.f64 0 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 1/4))) -1))
(+.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 3) 3)
(+.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 1/3) 1/3)

Outputs
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 1/4 (PI.f64))) 2)))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (cbrt.f64 1/16))) (/.f64 (cbrt.f64 -4) (*.f64 (cbrt.f64 (cbrt.f64 1/256)) (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (/.f64 -4 (cbrt.f64 1/256))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (cbrt.f64 1/16))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1/16)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) -1/4)) (PI.f64)))
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) -4) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1/16))) (PI.f64))
(.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) -1/4)) (PI.f64)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/16)))
(/.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) -4) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1/16))) (PI.f64))
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(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 -1/4 (PI.f64)))
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(+.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 3) 3)
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4)))
(+.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) 1/3) 1/3)
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4)))

eval1.4s (1%)

Compiler: Compiled 77805 to 52328 computations (32.7% saved)

prune1.1s (0.7%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	2491	14	2505
Fresh	8	6	14
Picked	0	1	1
Done	1	3	4
Total	2500	24	2524

Error

0.0b

Counts

2524 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(pow.f64 (if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))) (/.f64 (cbrt.f64 (.f64 -1/4 (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))))) 2))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) -2)) (expm1.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (.f64 -1/4 (PI.f64))))) 3)
▶	2.8b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)) 3)
▶	2.7b	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (cbrt.f64 (*.f64 -1/4 1/16)))
	2.2b	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4) (PI.f64))
✓	0.3b	(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 (exp.f64 (.f64 (PI.f64) (.f64 f -1/2)))) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64)) -1/4)
	2.5b	(/.f64 (/.f64 (log.f64 (/.f64 (-.f64 -1 1) (expm1.f64 (.f64 (.f64 f (PI.f64)) -1/2)))) (PI.f64)) -1/4)
	29.4b	(/.f64 (/.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (PI.f64) (neg.f64 f)))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 2))) (PI.f64)) -1/4)
	2.8b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 -1/4)) (/.f64 (PI.f64) (cbrt.f64 16)))
✓	2.2b	(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) (cbrt.f64 -1/4))) (cbrt.f64 1/16))
	2.2b	(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 1/16)) (.f64 (PI.f64) (cbrt.f64 -1/4)))
	29.4b	(/.f64 (-.f64 3 (+.f64 (/.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (neg.f64 (.f64 f (PI.f64))))) (pow.f64 (expm1.f64 (.f64 -1/2 (*.f64 f (PI.f64)))) 2))) (neg.f64 (PI.f64))) 3)) -1/4)
	2.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) -4) (PI.f64))
✓	2.2b	(/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) -4) (PI.f64))
▶	1.9b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))
	2.7b	(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (.f64 (cbrt.f64 1/64) (PI.f64))))
	1.9b	(/.f64 (log.f64 (neg.f64 (/.f64 (/.f64 -108 (PI.f64)) (.f64 27 f)))) (.f64 (PI.f64) -1/4))
	1.9b	(/.f64 (log.f64 (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 -4 (PI.f64)) 27) (.f64 f 0)) (.f64 f 27)))) (.f64 (PI.f64) -1/4))
	1.9b	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 27) 27))) (.f64 (PI.f64) -1/4))
▶	1.9b	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 9) 9))) (.f64 (PI.f64) -1/4))
▶	1.9b	(/.f64 (log.f64 (neg.f64 (.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3))))) (*.f64 (PI.f64) -1/4))
	29.5b	(/.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 (PI.f64) (neg.f64 f)))) (pow.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/2))) 2))) (PI.f64)) 3)) -1/4)
✓	2.0b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
	2.0b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (-.f64 3 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))))))
	2.3b	(cbrt.f64 (pow.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4) 3))

Compiler

Compiled 877 to 735 computations (16.2% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) -3)
✓	0.3b	(/.f64 (log.f64 (neg.f64 (.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3))))) (*.f64 (PI.f64) -1/4))
✓	0.3b	(.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3)))
	0.3b	(/.f64 -4 (*.f64 f (PI.f64)))

Compiler

Compiled 107 to 78 computations (27.1% saved)

series37.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	f	@	-inf	(/.f64 (log.f64 (neg.f64 (.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3))))) (*.f64 (PI.f64) -1/4))
8.0ms	f	@	inf	(/.f64 (log.f64 (neg.f64 (.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3))))) (*.f64 (PI.f64) -1/4))
7.0ms	f	@	0	(/.f64 (log.f64 (neg.f64 (.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3))))) (*.f64 (PI.f64) -1/4))
1.0ms	f	@	0	(.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3)))
1.0ms	f	@	inf	(.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (.f64 f (PI.f64)))) -3)))

Compiler

Compiled 1590 to 1075 computations (32.4% saved)

rewrite2.1s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

132×	`egg-rr`
79×	`egg-rr`
48×	`egg-rr`

Counts

3 → 259

Calls

Call 1

Inputs

(*.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) -3)))

(/.f64 (log.f64 (neg.f64 (*.f64 -3 (+.f64 1 (/.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) -3))))) (*.f64 (PI.f64) -1/4))

(/.f64 (+.f64 3 (/.f64 -4 (*.f64 f (PI.f64)))) -3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3 (cbrt.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)))) (cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -3) (*.f64 (cbrt.f64 9) (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1))))))) (#(struct:change 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simplify4.7s (3.2%)

Algorithm

1×

egglog

Counts

283 → 323

Calls

Call 1

Inputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 4/3 (*.f64 f (PI.f64)))
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
-1
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
-1
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(*.f64 -3 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)))
(*.f64 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3) 1)
(*.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) -3)
(*.f64 1 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3))
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(*.f64 (cbrt.f64 (/.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -27)) (cbrt.f64 (pow.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) 2)))
(*.f64 -1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1))
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(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1) 3) -3)
(*.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1) -1)
(-.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -3) (/.f64 -3 -3))
(-.f64 (/.f64 0 3) (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1))
(-.f64 0 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) -1/3) (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -3) 9))
(/.f64 (.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) -3) (sqrt.f64 1/3)) (sqrt.f64 3))
(/.f64 (.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) -3) (cbrt.f64 1/3)) (cbrt.f64 9))
(/.f64 (*.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) (cbrt.f64 -1/3)) (cbrt.f64 9))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3) 3))) (-.f64 (+.f64 1 (pow.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3) 2)) (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)))
(/.f64 (+.f64 -9 (/.f64 12 (*.f64 f (PI.f64)))) 9)
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) (/.f64 -3 -3))
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(/.f64 (*.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3) 9)
(/.f64 (neg.f64 (*.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) (cbrt.f64 -1/3))) (neg.f64 (cbrt.f64 9)))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) -3) (cbrt.f64 1/3))) (neg.f64 (cbrt.f64 9)))
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(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) -3) (sqrt.f64 1/3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (+.f64 -27 (neg.f64 (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3))) (*.f64 3 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -3) 9)))
(/.f64 (+.f64 -27 (neg.f64 (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3))) (*.f64 -3 (neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -3) 9))))
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(/.f64 (+.f64 27 (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) (/.f64 (*.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -3) 9) -3) 1))
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(/.f64 (+.f64 27 (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) (.f64 1 (.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -3) 9) -3)))
(/.f64 (+.f64 9 (/.f64 -12 (*.f64 f (PI.f64)))) -9)
(/.f64 (.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) -3) -3) -9)
(/.f64 (neg.f64 (*.f64 (+.f64 27 (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) -1/3)) (neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (+.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -3) 9)))
(/.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) -3) 3)
(/.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3)
(/.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1) -1)
(pow.f64 (cbrt.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1))) 3)
(pow.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) 1)
(pow.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1) 3)) 1/3)
(cbrt.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1) 3)))
(neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1))
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(+.f64 -1 (.f64 (.f64 3 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) -1/3))
(+.f64 -1 (.f64 -1/3 (.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3) 3)))
(+.f64 -1 (*.f64 -1/3 (/.f64 (/.f64 -4 (PI.f64)) f)))
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(+.f64 (neg.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) -1)

Outputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(/.f64 4/3 (*.f64 f (PI.f64)))
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
-1
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
-1
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
(+.f64 (/.f64 4/3 (*.f64 f (PI.f64))) -1)
(-.f64 (.f64 4/3 (/.f64 1 (.f64 f (PI.f64)))) 1)
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(*.f64 -3 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(*.f64 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3) 1)
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(*.f64 1 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3))
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(.f64 -3 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 3) 3)))
(.f64 (.f64 -3 (cbrt.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)))) (cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) 2)))
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(/.f64 (/.f64 -4 (PI.f64)) f)
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(/.f64 (/.f64 -4 (PI.f64)) f)
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(/.f64 (/.f64 -4 (PI.f64)) f)
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(/.f64 (/.f64 -4 (PI.f64)) f)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3) 2)) (cbrt.f64 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3)))
(/.f64 (/.f64 -4 (PI.f64)) f)
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(/.f64 (/.f64 -4 (PI.f64)) f)
(.f64 (cbrt.f64 9) (+.f64 (.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 1/3 1)) (cbrt.f64 -3)) (cbrt.f64 -3)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(*.f64 (cbrt.f64 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 3 (/.f64 (/.f64 -4 (PI.f64)) f)) -3) 2)))
(/.f64 (/.f64 -4 (PI.f64)) f)
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(+.f64 (*.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3) -1)
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)
(+.f64 -1 (.f64 (.f64 3 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) -1/3))
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)
(+.f64 -1 (.f64 -1/3 (.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3) 3)))
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)
(+.f64 -1 (*.f64 -1/3 (/.f64 (/.f64 -4 (PI.f64)) f)))
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)
(+.f64 (*.f64 -1/3 (/.f64 (/.f64 -4 (PI.f64)) f)) -1)
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)
(+.f64 -1 (.f64 -1/3 (.f64 3 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3))))
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)
(+.f64 -1 (neg.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)))
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)
(+.f64 (neg.f64 (/.f64 (/.f64 (/.f64 -4 (PI.f64)) f) 3)) -1)
(fma.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1/3 -1)

localize29.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)

Compiler

Compiled 32 to 22 computations (31.3% saved)

series10.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))

0.0ms

inf

(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))

0.0ms

-inf

(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))

Compiler

Compiled 790 to 600 computations (24.1% saved)

rewrite1.7s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

149× egg-rr

Counts

1 → 149

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) -1/4))

Outputs

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simplify3.1s (2.1%)

Algorithm

1×

egglog

Counts

149 → 192

Calls

Call 1

Inputs
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Outputs
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(+.f64 (.f64 (/.f64 4 (PI.f64)) 0) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))
(+.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 0) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))
(+.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)) 1/2) (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)) 1/2))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))
(+.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 0) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))
(+.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 0) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) -1/4)))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))
(+.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 3) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))
(+.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) (.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 3))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))
(+.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 2) (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 2))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 -1/4 (PI.f64)))

localize44.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (PI.f64))
✓	0.3b	(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 9) 9)
	0.3b	(/.f64 -4 (*.f64 f (PI.f64)))
✓	0.3b	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 9) 9))) (.f64 (PI.f64) -1/4))

Compiler

Compiled 69 to 46 computations (33.3% saved)

series13.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 9) 9))) (.f64 (PI.f64) -1/4))
0.0ms	f	@	-inf	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 9) 9))) (.f64 (PI.f64) -1/4))
0.0ms	f	@	inf	(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 9) 9))) (.f64 (PI.f64) -1/4))
0.0ms	f	@	-inf	(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 9) 9)
0.0ms	f	@	0	(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 9) 9)

Compiler

Compiled 1150 to 785 computations (31.7% saved)

rewrite1.6s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

255×	`egg-rr`
47×	`egg-rr`

Counts

2 → 302

Calls

Call 1

Inputs
(/.f64 (log.f64 (neg.f64 (-.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) 9) 9))) (.f64 (PI.f64) -1/4))
(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 9) 9)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4 (*.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 -4 (*.f64 f (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (*.f64 f (PI.f64))) 2)) (cbrt.f64 (/.f64 -4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 -1 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) f)) (/.f64 -4 (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 -4) f) (/.f64 (cbrt.f64 16) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -4) (/.f64 (cbrt.f64 16) (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 -4 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 -4) (PI.f64)) (/.f64 (cbrt.f64 16) f))))) 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simplify4.7s (3.1%)

Algorithm

1×

egglog

Counts

314 → 366

Calls

Call 1

Inputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64)))))
(.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))) 1)
(.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 1 (.f64 (PI.f64) 1/4)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/64)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) (PI.f64)))
(.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4))
(.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) -4))
(.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) 1/16))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(*.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (cbrt.f64 -1/4)) (/.f64 1 (cbrt.f64 1/16)))
(.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (.f64 -1/4 (PI.f64)))) (/.f64 1 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 1/16))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4) (/.f64 1 (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 (PI.f64) 1/4)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 (PI.f64))) (/.f64 1 1/4))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
(-.f64 (/.f64 0 (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 (PI.f64) 1/4)))
(-.f64 0 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64)))
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (cbrt.f64 -1/4)) (cbrt.f64 1/16))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (.f64 -1/4 (PI.f64)))) (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) 1/16)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64))) 1)
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (PI.f64))) (.f64 -1/4 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (cbrt.f64 -1/4))) (neg.f64 (cbrt.f64 1/16)))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 (PI.f64))) 1/4)
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (neg.f64 1/4))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (.f64 -1/4 (PI.f64))))) (neg.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) 1/16))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64)))) 3)
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64))) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64))) 3))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 1/4))
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 4))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(neg.f64 (.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 (PI.f64) 1/4)) 1))
(if (!=.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 0) (/.f64 1 (/.f64 (.f64 -1/4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) 0) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (.f64 -1/4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)))) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))))
(if (!=.f64 -4 0) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 -4 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 -4 (*.f64 f (PI.f64))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (cbrt.f64 (/.f64 -4 (*.f64 f (PI.f64)))))
(.f64 4 (/.f64 -1 (.f64 f (PI.f64))))
(*.f64 (/.f64 -4 f) (/.f64 1 (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) f)) (/.f64 -4 (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) 2))))
(*.f64 (/.f64 (cbrt.f64 -4) f) (/.f64 (cbrt.f64 16) (PI.f64)))
(.f64 (cbrt.f64 -4) (/.f64 (cbrt.f64 16) (.f64 f (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 -4 f))
(*.f64 (/.f64 (cbrt.f64 -4) (PI.f64)) (/.f64 (cbrt.f64 16) f))
(.f64 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3) -729) (/.f64 1 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))))
(.f64 1 (/.f64 -4 (.f64 f (PI.f64))))
(.f64 (/.f64 -4 (.f64 f (PI.f64))) 1)
(*.f64 (/.f64 4 f) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 -64 (.f64 f (PI.f64)))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))))
(.f64 (/.f64 (/.f64 -4 f) (cbrt.f64 (PI.f64))) (/.f64 1 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(.f64 (-.f64 729 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3)) (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162)))))
(.f64 9 (+.f64 1 (/.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) -9) 9)))
(.f64 -9 (+.f64 1 (/.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) -9)))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 -4 (.f64 f (PI.f64)))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (*.f64 f (PI.f64))) 2)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (+.f64 0 (.f64 (cbrt.f64 (/.f64 -4 (.f64 f (PI.f64)))) 0))) (-.f64 (cbrt.f64 (/.f64 -4 (*.f64 f (PI.f64)))) 0))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2)) (+.f64 (cbrt.f64 81) (cbrt.f64 (+.f64 81 (/.f64 -36 (.f64 f (PI.f64))))))) (-.f64 (cbrt.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64))))) (cbrt.f64 9)))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (*.f64 0 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (-.f64 0 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 9 (-.f64 (+.f64 1 (/.f64 (/.f64 -4 (.f64 f (PI.f64))) 9)) 1))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (-.f64 0 (.f64 (cbrt.f64 (/.f64 -4 (.f64 f (PI.f64)))) 0))) (+.f64 (cbrt.f64 (/.f64 -4 (*.f64 f (PI.f64)))) 0))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (.f64 0 (cbrt.f64 (/.f64 -4 (.f64 f (PI.f64))))))) (+.f64 0 (cbrt.f64 (/.f64 -4 (*.f64 f (PI.f64))))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) f) -4)
(*.f64 (/.f64 -4 (PI.f64)) (pow.f64 f -1))
(*.f64 -4 (/.f64 (/.f64 1 (PI.f64)) f))
(*.f64 (pow.f64 f -1) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1)
(*.f64 -1 (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (/.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))) (/.f64 729 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (*.f64 f (PI.f64))) 162))))
(-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 0)
(-.f64 (+.f64 9 (/.f64 -4 (*.f64 f (PI.f64)))) 9)
(-.f64 -9 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) -9))
(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9) -9)
(-.f64 9 (+.f64 9 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))) (+.f64 (/.f64 729 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (*.f64 f (PI.f64))) 162))) 0))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 4 f) (PI.f64))))
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(-.f64 81 (+.f64 81 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 729 (+.f64 729 (/.f64 (/.f64 4 f) (PI.f64))))
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(-.f64 729 (-.f64 729 (/.f64 -4 (*.f64 f (PI.f64)))))
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(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 3) 3)
(-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 81) 81)
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(/.f64 (/.f64 -4 f) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) (neg.f64 f)))
(/.f64 (cbrt.f64 (/.f64 -64 (.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 f (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 -4 f) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 729 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (*.f64 f (PI.f64))) 162))))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (neg.f64 (PI.f64)))
(/.f64 1 (.f64 (.f64 f (PI.f64)) -1/4))
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(/.f64 (/.f64 1 (PI.f64)) (*.f64 f -1/4))
(/.f64 (pow.f64 f -1) (*.f64 -1/4 (PI.f64)))
(/.f64 (/.f64 -4 (*.f64 f (PI.f64))) 1)
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(/.f64 (-.f64 (.f64 (+.f64 -729 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3)) 1) (.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) -81)) 9)) (.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (+.f64 (/.f64 -36 (*.f64 f (PI.f64))) -81)) 1))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) 729) 1) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) 81) (/.f64 36 (.f64 f (PI.f64)))) 9)) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) 81) (/.f64 36 (.f64 f (PI.f64)))) 1))
(/.f64 (-.f64 (.f64 0 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))) (.f64 243 (-.f64 729 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3)))) (.f64 243 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))))
(/.f64 (-.f64 (.f64 0 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))) (.f64 18 (-.f64 729 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3)))) (.f64 18 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))))
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(+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9) 9)
(+.f64 9 (+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9) 0))
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(+.f64 (+.f64 0 9) (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9))
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(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 81) 81)
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 729) 729)

Outputs
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 (PI.f64) f))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64))) 2)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 -1/4 (PI.f64)))))
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(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 -1/4 (PI.f64))) 1)
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
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(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/64)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) (PI.f64)))
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(*.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -1/4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(.f64 (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) -4))
(/.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 -4 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)))) (PI.f64))
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(.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/16)))))
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(cbrt.f64 (.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) -1/4) (/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (.f64 (PI.f64) (PI.f64))) 1/16)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
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(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) -4)
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
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(if (!=.f64 (/.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 3) (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 2) (+.f64 (/.f64 -36 (.f64 (PI.f64) f)) 162))) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 3) 3) 387420489) (pow.f64 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 2) (+.f64 (/.f64 -36 (.f64 (PI.f64) f)) 162)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 3) (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 2) (+.f64 (/.f64 -36 (.f64 (PI.f64) f)) 162))) 2) (/.f64 (+.f64 531441 (.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 3) 729)) (pow.f64 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 2) (+.f64 (/.f64 -36 (.f64 (PI.f64) f)) 162)) 2)))) (/.f64 -4 (.f64 (PI.f64) f)))
(if (!=.f64 (/.f64 -4 (.f64 f (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2) (/.f64 -4 (.f64 f (PI.f64)))) (/.f64 -4 (.f64 f (PI.f64))))
(if (!=.f64 (/.f64 -4 (.f64 (PI.f64) f)) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 (PI.f64) f)) 2) (/.f64 -4 (.f64 (PI.f64) f))) (/.f64 -4 (.f64 (PI.f64) f)))
(if (!=.f64 (/.f64 (/.f64 4 f) (PI.f64)) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 3) (pow.f64 (/.f64 -4 (.f64 f (PI.f64))) 2)) (/.f64 -4 (*.f64 f (PI.f64))))
(if (!=.f64 (/.f64 4 (.f64 (PI.f64) f)) 0) (/.f64 (pow.f64 (/.f64 -4 (.f64 (PI.f64) f)) 3) (pow.f64 (/.f64 -4 (.f64 (PI.f64) f)) 2)) (/.f64 -4 (.f64 (PI.f64) f)))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162)) 0) (/.f64 -4 (.f64 f (PI.f64))) (/.f64 -4 (.f64 f (PI.f64))))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 2) (+.f64 (/.f64 -36 (.f64 (PI.f64) f)) 162)) 0) (/.f64 -4 (.f64 (PI.f64) f)) (/.f64 -4 (.f64 (PI.f64) f)))
(+.f64 (+.f64 9 (/.f64 -4 (*.f64 f (PI.f64)))) -9)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 -9 (+.f64 9 (/.f64 -4 (*.f64 f (PI.f64)))))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 9 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 0 (/.f64 -4 (*.f64 f (PI.f64))))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (/.f64 -4 (*.f64 f (PI.f64))) 0)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (/.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 3) (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (.f64 f (PI.f64))) 162))) (neg.f64 (/.f64 729 (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 f (PI.f64)))) 2) (+.f64 (/.f64 -36 (*.f64 f (PI.f64))) 162)))))
(/.f64 (-.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 3) 729) (+.f64 (pow.f64 (+.f64 9 (/.f64 -4 (.f64 (PI.f64) f))) 2) (+.f64 (/.f64 -36 (*.f64 (PI.f64) f)) 162)))
(+.f64 9 (.f64 (+.f64 (/.f64 -4 (.f64 f (PI.f64))) -9) 1))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (*.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) -9) -1) -9)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 -9 (*.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) -9) -1))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 9 (-.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9) 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 9 (/.f64 -4 (*.f64 f (PI.f64)))) (-.f64 -9 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 9 (-.f64 -9 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9) 9)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 9 (+.f64 (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9) 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 9 (/.f64 -4 (*.f64 f (PI.f64)))) (+.f64 -9 0))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (+.f64 0 9) (+.f64 (/.f64 -4 (*.f64 f (PI.f64))) -9))
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 1) 1)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 3) 3)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 81) 81)
(/.f64 -4 (*.f64 (PI.f64) f))
(+.f64 (-.f64 (/.f64 -4 (*.f64 f (PI.f64))) 729) 729)
(/.f64 -4 (*.f64 (PI.f64) f))

localize24.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	1.0b	(cbrt.f64 (*.f64 -1/4 1/16))

Compiler

Compiled 48 to 36 computations (25% saved)

series6.0ms (0%)

Counts

2 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
0.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
0.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))

Compiler

Compiled 670 to 480 computations (28.4% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

73×	`egg-rr`
26×	`egg-rr`

Counts

2 → 99

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 -1/4 1/16))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -1/4)) (cbrt.f64 (cbrt.f64 1/65536)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/4) (cbrt.f64 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/16) (cbrt.f64 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (cbrt.f64 -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/16) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 (cbrt.f64 -1/16384)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -1/16384)) (cbrt.f64 (cbrt.f64 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -1/1024)) (cbrt.f64 (cbrt.f64 1/256)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 -1/4 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 -1/64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -1/4) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -1/64 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -4 -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -64 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -1/4 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 -1/64)))) (#(struct:change #<rule egg-rr> (2) ((x . -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 -4) 0) (pow.f64 (cbrt.f64 -4) -3) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -64 0) -1/4 -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -4 0) -1/4 -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 -1/4) (*.f64 1/2 -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 1/2) (*.f64 -1/4 1/2))))))

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simplify2.2s (1.5%)

Algorithm

1×

egglog

Counts

99 → 112

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 (cbrt.f64 -1/4)) (cbrt.f64 (cbrt.f64 1/65536)))
(*.f64 (cbrt.f64 -1/4) (cbrt.f64 1/16))
(*.f64 (cbrt.f64 1/16) (cbrt.f64 -1/4))
(*.f64 (cbrt.f64 1/4) (cbrt.f64 -1/16))
(*.f64 (cbrt.f64 -1/16) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 (cbrt.f64 -1/16384)))
(*.f64 (cbrt.f64 (cbrt.f64 -1/16384)) (cbrt.f64 (cbrt.f64 1/16)))
(*.f64 (cbrt.f64 (cbrt.f64 -1/1024)) (cbrt.f64 (cbrt.f64 1/256)))
(*.f64 1 -1/4)
(*.f64 -1/4 1)
(/.f64 1 -4)
(/.f64 1 (pow.f64 -1/4 -1))
(/.f64 1 (pow.f64 -1/64 -1/3))
(/.f64 -1/4 1)
(pow.f64 (cbrt.f64 -1/4) 3)
(pow.f64 -1/64 1/3)
(pow.f64 -4 -1)
(pow.f64 -64 -1/3)
(pow.f64 -1/4 1)
(cbrt.f64 -1/64)
-1/4
(if (!=.f64 (cbrt.f64 -4) 0) (pow.f64 (cbrt.f64 -4) -3) -1/4)
(if (!=.f64 -64 0) -1/4 -1/4)
(if (!=.f64 -4 0) -1/4 -1/4)
(+.f64 (.f64 1/2 -1/4) (.f64 1/2 -1/4))
(+.f64 (.f64 -1/4 1/2) (.f64 -1/4 1/2))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2)))
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(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
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(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
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(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
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(-.f64 1 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2)))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
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(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
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(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (neg.f64 (PI.f64)))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (neg.f64 (PI.f64))))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 0 (.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) (*.f64 (neg.f64 (PI.f64)) (PI.f64)))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (.f64 (PI.f64) (neg.f64 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (neg.f64 (PI.f64))))))
(/.f64 (-.f64 (.f64 0 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (neg.f64 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (neg.f64 (PI.f64)))))) (.f64 (neg.f64 (PI.f64)) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (.f64 0 (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(fma.f64 0 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(fma.f64 0 3 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(fma.f64 1 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(fma.f64 0 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(fma.f64 0 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 0))
(neg.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))))
(if (!=.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 0) (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) 0) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 0) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 1 0) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2))) 0) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 0) (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (+.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64)))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2)) (+.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (+.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64)))) 0) (/.f64 (-.f64 (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))) (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2)) (+.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (PI.f64))) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64)))))) 0) (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (PI.f64))) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(if (!=.f64 (/.f64 0 (neg.f64 (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (PI.f64))) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 0 (neg.f64 (PI.f64)))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (.f64 0 (/.f64 -1 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (.f64 1/2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(+.f64 (.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1/2) (.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1/2))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64)))) 2)))
(+.f64 (/.f64 0 (neg.f64 (PI.f64))) (.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64)))) 2)))

Outputs
(*.f64 (cbrt.f64 (cbrt.f64 -1/4)) (cbrt.f64 (cbrt.f64 1/65536)))
(cbrt.f64 (*.f64 (cbrt.f64 -1/4) (cbrt.f64 1/65536)))
(*.f64 (cbrt.f64 -1/4) (cbrt.f64 1/16))
-1/4
(*.f64 (cbrt.f64 1/16) (cbrt.f64 -1/4))
-1/4
(*.f64 (cbrt.f64 1/4) (cbrt.f64 -1/16))
-1/4
(*.f64 (cbrt.f64 -1/16) (cbrt.f64 1/4))
-1/4
(*.f64 (cbrt.f64 (cbrt.f64 1/16)) (cbrt.f64 (cbrt.f64 -1/16384)))
(cbrt.f64 (*.f64 (cbrt.f64 -1/16384) (cbrt.f64 1/16)))
(*.f64 (cbrt.f64 (cbrt.f64 -1/16384)) (cbrt.f64 (cbrt.f64 1/16)))
(cbrt.f64 (*.f64 (cbrt.f64 -1/16384) (cbrt.f64 1/16)))
(*.f64 (cbrt.f64 (cbrt.f64 -1/1024)) (cbrt.f64 (cbrt.f64 1/256)))
(cbrt.f64 (*.f64 (cbrt.f64 -1/1024) (cbrt.f64 1/256)))
(*.f64 1 -1/4)
-1/4
(*.f64 -1/4 1)
-1/4
(/.f64 1 -4)
-1/4
(/.f64 1 (pow.f64 -1/4 -1))
-1/4
(/.f64 1 (pow.f64 -1/64 -1/3))
-1/4
(/.f64 -1/4 1)
-1/4
(pow.f64 (cbrt.f64 -1/4) 3)
-1/4
(pow.f64 -1/64 1/3)
-1/4
(pow.f64 -4 -1)
-1/4
(pow.f64 -64 -1/3)
(pow.f64 -1/4 1)
-1/4
(cbrt.f64 -1/64)
-1/4
-1/4
(if (!=.f64 (cbrt.f64 -4) 0) (pow.f64 (cbrt.f64 -4) -3) -1/4)
(if (!=.f64 -64 0) -1/4 -1/4)
(if (!=.f64 -4 0) -1/4 -1/4)
(+.f64 (.f64 1/2 -1/4) (.f64 1/2 -1/4))
-1/4
(+.f64 (.f64 -1/4 1/2) (.f64 -1/4 1/2))
-1/4
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -1 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (PI.f64)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 -1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(-.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
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(-.f64 (/.f64 (/.f64 0 (neg.f64 (PI.f64))) 1) (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))) 1))
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(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(-.f64 3 (+.f64 3 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64)))))
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(-.f64 1 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64)))))
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(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))) (cbrt.f64 (neg.f64 (PI.f64))))
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(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2)) (neg.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
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(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) (.f64 1/2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
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(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64)))) 2)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(+.f64 (/.f64 0 (neg.f64 (PI.f64))) (.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64)))) 2)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))

localize39.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.5b	(cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)) 3)

Compiler

Compiled 62 to 37 computations (40.3% saved)

series40.0ms (0%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	0	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)) 3)
2.0ms	f	@	inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)) 3)
2.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)) 3)
0.0ms	f	@	inf	(cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4))
0.0ms	f	@	-inf	(cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4))

Compiler

Compiled 4150 to 3185 computations (23.3% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

176×	`egg-rr`
167×	`egg-rr`
140×	`egg-rr`
48×	`egg-rr`

Counts

4 → 531

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)) 3)
(cbrt.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))

Outputs
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simplify2.0ms (0%)

Results

Details

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sample7.2s (4.8%)

preprocess2.9s (1.9%)

simplify1.4s (1%)

eval2.0ms (0%)

prune1.0ms (0%)

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series144.0ms (0.1%)

rewrite1.7s (1.1%)

simplify6.4s (4.3%)

eval317.0ms (0.2%)

prune67.0ms (0%)

localize44.0ms (0%)

series121.0ms (0.1%)

rewrite1.9s (1.2%)

simplify6.9s (4.6%)

localize19.0ms (0%)

series58.0ms (0%)

rewrite1.6s (1.1%)

simplify4.9s (3.2%)

localize70.0ms (0%)

series403.0ms (0.3%)

rewrite1.7s (1.1%)

simplify4.7s (3.1%)

localize83.0ms (0.1%)

series370.0ms (0.2%)

rewrite1.7s (1.1%)

simplify35.4s (23.6%)

localize181.0ms (0.1%)

series98.0ms (0.1%)

rewrite1.6s (1.1%)

simplify4.0s (2.7%)

eval2.4s (1.6%)

prune825.0ms (0.6%)

localize43.0ms (0%)

series74.0ms (0%)

rewrite1.8s (1.2%)

simplify7.5s (5%)

localize14.0ms (0%)

series33.0ms (0%)

rewrite1.6s (1.1%)

simplify4.5s (3%)

localize33.0ms (0%)

series8.0ms (0%)

rewrite1.5s (1%)

simplify4.2s (2.8%)

localize30.0ms (0%)

series48.0ms (0%)

rewrite1.5s (1%)

simplify4.7s (3.1%)

localize26.0ms (0%)

series20.0ms (0%)

rewrite1.6s (1%)

simplify4.9s (3.2%)

eval1.4s (1%)

prune1.1s (0.7%)

localize38.0ms (0%)

series37.0ms (0%)

rewrite2.1s (1.4%)

simplify4.7s (3.2%)

localize29.0ms (0%)

series10.0ms (0%)

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localize44.0ms (0%)

series13.0ms (0%)

rewrite1.6s (1%)

simplify4.7s (3.1%)

localize24.0ms (0%)

series6.0ms (0%)

rewrite1.5s (1%)

simplify2.2s (1.5%)

localize39.0ms (0%)

series40.0ms (0%)

rewrite1.6s (1.1%)

simplify2.0ms (0%)

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