Details

analyze1.5s (10.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	75%	25%	3
0%	62.5%	37.5%	4
0%	56.2%	43.8%	5
3.1%	46.9%	50%	6
3.1%	45.3%	51.6%	7
3.1%	44.5%	52.4%	8
3.5%	44.1%	52.4%	9
3.7%	43.9%	52.4%	10
3.8%	43.8%	52.4%	11
3.8%	43.8%	52.4%	12
3.8%	43.8%	52.4%	13
3.8%	43.7%	52.4%	14

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample11.3s (78.7%)

Results

3.6s	4087×	body	1024	valid
3.3s	3947×	body	1024	invalid
1.3s	1966×	body	512	valid
1.3s	2008×	body	512	invalid
749.0ms	493×	body	2048	valid
444.0ms	1041×	body	256	valid
405.0ms	1000×	body	256	invalid
162.0ms	669×	body	128	valid
2.0ms	2×	body	2048	invalid
0.0ms	2×	body	128	invalid

preprocess34.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

569×	`fma-def_binary64`
323×	`fma-neg_binary64`
202×	`distribute-rgt-in_binary64`
192×	`cancel-sign-sub-inv_binary64`
175×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	122	59
3	326	55
4	975	55
5	2553	55
0	1	1

Stop Event

1×	saturated
1×	node limit

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))))))))

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
323×	`fma-neg_binary64`
202×	`distribute-rgt-in_binary64`
192×	`cancel-sign-sub-inv_binary64`
175×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	122	59
3	326	55
4	975	55
5	2553	55

Stop Event

1×	node limit

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))))))))

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

eval1.0ms (0%)

Compiler: Compiled 70 to 52 computations (25.7% saved)

prune2.0ms (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

61.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.1b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

61.1b

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

Compiler

Compiled 66 to 48 computations (27.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	0.2b	(*.f64 (PI.f64) f)
✓	0.5b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
✓	6.3b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))

series83.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
34.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
4.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
4.0ms	f	@	0	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

195×	`add-sqr-sqrt_binary64`
191×	`pow1_binary64`
189×	`*-un-lft-identity_binary64`
188×	`add-log-exp_binary64`
185×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	128
1	397	128

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) 1) (.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 2) (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (sqrt.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 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simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

740×	`times-frac_binary64`
610×	`fma-def_binary64`
311×	`distribute-rgt-in_binary64`
297×	`distribute-lft-in_binary64`
167×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1691
1	426	1557
2	1623	1463

Stop Event

1×	node limit

Counts

168 → 151

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))) (PI.f64))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2)) (PI.f64))) (.f64 -2 (/.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))) (PI.f64)))))
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(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(.f64 (PI.f64) (.f64 1/2 f))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))
(fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (PI.f64) (.f64 f 1/2) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
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(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) 1/192)) -2))))
(+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
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(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))))

eval131.0ms (0.9%)

Compiler: Compiled 7405 to 4866 computations (34.3% saved)

prune48.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	163	5	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	5	169

Error

0.7b

Counts

169 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	63.5b	(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))) 1)
	1.4b	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))))) (/.f64 -4 (PI.f64)))
▶	1.3b	(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
	1.6b	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	1.3b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 348 to 274 computations (21.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
✓	2.0b	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

series0.0ms (0%)

Counts: 4 → 0

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`prod-diff_binary64`
192×	`add-sqr-sqrt_binary64`
184×	`add-log-exp_binary64`
182×	`add-cbrt-cube_binary64`
182×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	41
1	471	37
2	4857	37

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48)
(pow.f64 (PI.f64) 3)
(fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 1))) (fma.f64 (neg.f64 (log.f64 (.f64 (PI.f64) 1/2))) 1 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 1))) (fma.f64 (neg.f64 (log.f64 (.f64 (PI.f64) 1/2))) 1 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 1))) (fma.f64 (neg.f64 (log.f64 (.f64 (PI.f64) 1/2))) 1 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (log.f64 2) (neg.f64 (log.f64 (.f64 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1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (.f64 (PI.f64) 1/2)) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2)))) (+.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 4 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/48))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (PI.f64) 2) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/48 (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) 1) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (cbrt.f64 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 (PI.f64) 3)) 1/48) (neg.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/48 (neg.f64 (pow.f64 (PI.f64) 3))) (neg.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 1/48) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) 1/48) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/48)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/2304))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/48) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/48) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/48)))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/16 (.f64 2 (PI.f64))) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 1/16 (.f64 2 (PI.f64)))) (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (PI.f64) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)) (.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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-1/24))) 2)) (cbrt.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) (sqrt.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 3) 0) (+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 2) (-.f64 0 (.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 2) 0) (-.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (PI.f64) -1/24)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (*.f64 (PI.f64) -1/24))))))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

127 → 127

Calls

Call 1

Inputs

Outputs

eval116.0ms (0.8%)

Compiler: Compiled 6091 to 4495 computations (26.2% saved)

prune83.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	127	5	132

Error

0.7b

Counts

132 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	63.5b	(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))) 1)
	1.4b	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))))) (/.f64 -4 (PI.f64)))
✓	1.3b	(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
	1.6b	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
▶	1.3b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 302 to 237 computations (21.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
✓	0.5b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))
✓	1.0b	(pow.f64 (PI.f64) 5)
	1.0b	(pow.f64 (PI.f64) 3)

series22.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))
5.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))
3.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))
3.0ms	f	@	0	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

329×	`add-sqr-sqrt_binary64`
318×	`pow1_binary64`
316×	`add-log-exp_binary64`
313×	`log1p-expm1-u_binary64`
313×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	699	136

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

Inputs

(pow.f64 (PI.f64) 5)

(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))

(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (PI.f64) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
414×	`times-frac_binary64`
342×	`distribute-rgt-in_binary64`
321×	`distribute-lft-in_binary64`
130×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2757
1	726	2630
2	2699	2567

Stop Event

1×	node limit

Counts

49 → 70

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (.f64 3/2 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))))
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Outputs
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(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
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(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
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(fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (fma.f64 -1/6 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (.f64 (PI.f64) (pow.f64 f 4))) (/.f64 1280 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1280 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/180 (/.f64 (-.f64 (+.f64 (.f64 15/4 (/.f64 (.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (.f64 3/256 (/.f64 (.f64 (+.f64 (.f64 -320 (/.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (.f64 603979776000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))) (.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (.f64 (pow.f64 f 6) (PI.f64)))) (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 -1/6 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))))))
(+.f64 (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (fma.f64 -1/180 (/.f64 (-.f64 (fma.f64 15/4 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3))) (.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (pow.f64 (PI.f64) 2)) (/.f64 (.f64 603979776000 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11))) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))))) (/.f64 7864320000 (pow.f64 (PI.f64) 6))) (.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440)) (.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)) (.f64 -1/6 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (*.f64 (PI.f64) (pow.f64 f 4)))))))
(+.f64 (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (fma.f64 -1/180 (/.f64 (fma.f64 15/4 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200))) (fma.f64 3/256 (.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 11)) 603979776000 (.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (.f64 -1/6 (/.f64 (fma.f64 1/2560 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200))) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (.f64 (PI.f64) (pow.f64 f 4)))))))
(fma.f64 -1/180 (/.f64 (fma.f64 15/4 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 3)) 4404019200)) (fma.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 11)) 603979776000)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5))) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (fma.f64 -1/6 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (.f64 (PI.f64) (pow.f64 f 4))) (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))))

eval162.0ms (1.1%)

Compiler: Compiled 6777 to 4779 computations (29.5% saved)

prune50.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	97	10	107

Error

0.5b

Counts

107 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	63.5b	(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))) 1)
	1.4b	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))))) (/.f64 -4 (PI.f64)))
	1.3b	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))
	1.3b	(.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
	1.6b	(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))))
▶	1.3b	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))
	2.0b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))
	2.0b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))
	1.6b	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	1.6b	(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 1064 to 816 computations (23.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))
✓	0.5b	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))
	1.0b	(pow.f64 (PI.f64) 5)
	1.0b	(pow.f64 (PI.f64) 3)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))
1.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))
1.0ms	f	@	-inf	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))
1.0ms	f	@	inf	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

329×	`add-sqr-sqrt_binary64`
318×	`pow1_binary64`
315×	`add-log-exp_binary64`
312×	`log1p-expm1-u_binary64`
312×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	131
1	693	131

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))

(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (log.f64 (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5)))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) -4) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
414×	`times-frac_binary64`
342×	`distribute-rgt-in_binary64`
321×	`distribute-lft-in_binary64`
130×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	2757
1	726	2630
2	2699	2567

Stop Event

1×	node limit

Counts

43 → 64

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (.f64 3/2 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(+.f64 (.f64 5 (log.f64 (/.f64 1 f))) (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))))
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Outputs
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(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
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(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
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(fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (fma.f64 -1/6 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (.f64 (PI.f64) (pow.f64 f 4))) (/.f64 1280 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1280 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1/180 (/.f64 (-.f64 (+.f64 (.f64 15/4 (/.f64 (.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 3)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (.f64 3/256 (/.f64 (.f64 (+.f64 (.f64 -320 (/.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 2))) (.f64 603979776000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))) (.f64 7864320000 (/.f64 1 (pow.f64 (PI.f64) 6)))) (.f64 (pow.f64 f 6) (PI.f64)))) (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -61440 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 -1/6 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (+.f64 (.f64 -1887436800 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9))) (.f64 6291456000 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 9)))) (pow.f64 (PI.f64) 5)) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (.f64 1228800 (/.f64 1 (pow.f64 (PI.f64) 4)))) (*.f64 (pow.f64 f 4) (PI.f64)))))))
(+.f64 (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (fma.f64 -1/180 (/.f64 (-.f64 (fma.f64 15/4 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3))) (.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (pow.f64 (PI.f64) 2)) (/.f64 (.f64 603979776000 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 11))) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5))))) (/.f64 7864320000 (pow.f64 (PI.f64) 6))) (.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440)) (.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)) (.f64 -1/6 (/.f64 (-.f64 (.f64 1/2560 (/.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)))) (/.f64 1228800 (pow.f64 (PI.f64) 4))) (*.f64 (PI.f64) (pow.f64 f 4)))))))
(+.f64 (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (fma.f64 -1/180 (/.f64 (fma.f64 15/4 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200))) (fma.f64 3/256 (.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 11)) 603979776000 (.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (.f64 -1/6 (/.f64 (fma.f64 1/2560 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 9)) 4404019200))) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (.f64 (PI.f64) (pow.f64 f 4)))))))
(fma.f64 -1/180 (/.f64 (fma.f64 15/4 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 3)) 4404019200)) (fma.f64 3/256 (/.f64 (fma.f64 -320 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (pow.f64 (PI.f64) 2) 4404019200)) (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 11)) 603979776000)) (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5))) (/.f64 -7864320000 (pow.f64 (PI.f64) 6)))) (.f64 (PI.f64) (pow.f64 f 6))) (fma.f64 -4 (/.f64 (fma.f64 5 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) -61440))) (PI.f64)) (fma.f64 -1/6 (/.f64 (fma.f64 1/2560 (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 9)) (/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64))) (pow.f64 (PI.f64) 5)) 4404019200)) (/.f64 -1228800 (pow.f64 (PI.f64) 4))) (.f64 (PI.f64) (pow.f64 f 4))) (/.f64 1280 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))))

eval131.0ms (0.9%)

Compiler: Compiled 7041 to 4943 computations (29.8% saved)

prune41.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	104	11	115

Error

0.5b

Counts

115 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))
	2.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))
	63.5b	(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))) 1)
	1.4b	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))))) (/.f64 -4 (PI.f64)))
	1.3b	(.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
✓	1.3b	(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))
	2.0b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))
	2.0b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))
	1.6b	(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
	1.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))
	1.6b	(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 664 to 502 computations (24.4% saved)

regimes62.0ms (0.4%)

Accuracy

Total -62.7b remaining (-5007.3%)

Threshold costs -62.7b (-5007.3%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))
(cbrt.f64 (.f64 (.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (*.f64 1/61440 (pow.f64 f 5))))))) (/.f64 (PI.f64) -4))))
(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))
(.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) (/.f64 -4 (PI.f64)))))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))
(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))
(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5))))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))))) (/.f64 -4 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))) 1)
(.f64 (log.f64 (+.f64 (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2)) (.f64 f (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2))))) (/.f64 -4 (PI.f64)))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) (.f64 -2 (fma.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 1 (/.f64 (PI.f64) 1/2)) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2)) 0) (PI.f64)) (*.f64 f f) 0)))
(/.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (PI.f64) (.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)) (.f64 (pow.f64 (PI.f64) 5) (.f64 1/61440 (pow.f64 f 5))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(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

(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))

Results

Time	Error	Segments	Branch
9.0ms	1.3b	1	`f`
3.0ms	1.3b	1	`(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))))))))`
4.0ms	1.3b	1	`(.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)))))))`
4.0ms	1.3b	1	`(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))))))`
4.0ms	1.3b	1	`(/.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)))))`
9.0ms	1.3b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1083 to 790 computations (27.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	69
1	40	69

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))

Outputs

(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 (PI.f64) (*.f64 f 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (pow.f64 f 5)))))) -4) (PI.f64))

end35.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 86 to 66 computations (23.3% saved)

Details

analyze1.5s (10.5%)

sample11.3s (78.7%)

preprocess34.0ms (0.2%)

simplify23.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize16.0ms (0.1%)

series83.0ms (0.6%)

rewrite66.0ms (0.5%)

simplify47.0ms (0.3%)

eval131.0ms (0.9%)

prune48.0ms (0.3%)

localize30.0ms (0.2%)

series0.0ms (0%)

rewrite69.0ms (0.5%)

simplify8.0ms (0.1%)

eval116.0ms (0.8%)

prune83.0ms (0.6%)

localize30.0ms (0.2%)

series22.0ms (0.2%)

rewrite41.0ms (0.3%)

simplify61.0ms (0.4%)

eval162.0ms (1.1%)

prune50.0ms (0.4%)

localize32.0ms (0.2%)

series5.0ms (0%)

rewrite48.0ms (0.3%)

simplify61.0ms (0.4%)

eval131.0ms (0.9%)

prune41.0ms (0.3%)

regimes62.0ms (0.4%)

simplify2.0ms (0%)

end35.0ms (0.2%)

Profiling