Details

analyze1.4s (9.7%)

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)

sample10.7s (74%)

Results

3.3s	4035×	body	1024	valid
3.3s	4049×	body	1024	invalid
1.2s	2063×	body	512	valid
1.2s	2092×	body	512	invalid
727.0ms	474×	body	2048	valid
432.0ms	1053×	body	256	valid
396.0ms	1011×	body	256	invalid
146.0ms	631×	body	128	valid
4.0ms	2×	body	2048	invalid
3.0ms	3×	body	128	invalid

Compiler

Compiled 78 to 62 computations (20.5% saved)

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)))

prune4.0ms (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

61.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.9b	(.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

▶

61.9b

(*.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 136 to 100 computations (26.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)
✓	0.2b	(*.f64 (PI.f64) f)
✓	2.0b	(/.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))))
✓	5.9b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))

series11.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`prod-diff_binary64`
156×	`add-sqr-sqrt_binary64`
153×	`pow1_binary64`
152×	`add-log-exp_binary64`
151×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	83
1	313	83
2	4249	83

Stop Event

1×	node limit

Counts

4 → 158

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)
(pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

497×	`fma-neg_binary64`
401×	`cancel-sign-sub-inv_binary64`
339×	`associate-l_binary64`
325×	`fma-def_binary64`
320×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	984
1	191	972
2	577	968
3	2435	964
4	4725	964

Stop Event

1×	node limit

Counts

206 → 187

Calls

Call 1

Inputs
(.f64 1/2 (.f64 f (PI.f64)))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/2 (.f64 f (PI.f64))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (.f64 1/2 (.f64 f (PI.f64)))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (.f64 1/2 (.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64)))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(/.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))
1
(+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))))
(+.f64 (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))

Outputs
(.f64 1/2 (.f64 f (PI.f64)))
(.f64 f (.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/2 (.f64 f (PI.f64))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 1/2 (*.f64 f (PI.f64))))
(fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(fma.f64 1/2 (.f64 f (PI.f64)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (.f64 1/2 (.f64 f (PI.f64)))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 1/2 (.f64 f (PI.f64)))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 1/2 (.f64 f (PI.f64)) (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)))))
(fma.f64 1/2 (.f64 f (PI.f64)) (fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))) (.f64 1/2 (.f64 f (PI.f64))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/41287680 (.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)) (.f64 1/2 (*.f64 f (PI.f64))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (.f64 f (PI.f64)) (fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(fma.f64 1/61440 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (fma.f64 1/192 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (.f64 f (PI.f64)) (.f64 1/41287680 (*.f64 (pow.f64 f 7) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4))
(-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (*.f64 f (PI.f64)) 1/12))
(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
(fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64)))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/12)) (.f64 -1/2880 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 4 (.f64 f (PI.f64))) (fma.f64 (.f64 f (PI.f64)) 1/12 (.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880)))
(fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64)))))
(-.f64 (+.f64 (.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 1/12 (.f64 f (PI.f64))))) (.f64 1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 1/483840 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 f (PI.f64)) 1/12))) (.f64 -1/2880 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))
(+.f64 (fma.f64 (.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) 1/483840 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64))))))
(fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) -1/4)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4) (pow.f64 (exp.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))
1
(+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 (.f64 f (PI.f64)) 1/4) 1)
(fma.f64 (*.f64 f (PI.f64)) 1/4 1)
(fma.f64 f (*.f64 (PI.f64) 1/4) 1)
(fma.f64 (PI.f64) (*.f64 f 1/4) 1)
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (.f64 (.f64 f (PI.f64)) 1/4) 1))
(fma.f64 (.f64 1/32 (.f64 f f)) (pow.f64 (PI.f64) 2) (fma.f64 (*.f64 f (PI.f64)) 1/4 1))
(fma.f64 f (.f64 (PI.f64) 1/4) (fma.f64 1/32 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)) 1))
(+.f64 1 (.f64 (.f64 f (PI.f64)) (+.f64 1/4 (.f64 1/32 (.f64 f (PI.f64))))))
(+.f64 (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))))
(fma.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (+.f64 (.f64 (*.f64 f (PI.f64)) 1/4) 1)))
(fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) 1/384 (fma.f64 (.f64 1/32 (.f64 f f)) (pow.f64 (PI.f64) 2) (fma.f64 (.f64 f (PI.f64)) 1/4 1)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/384) (fma.f64 f (.f64 (PI.f64) 1/4) (fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) 1)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/384) (+.f64 1 (.f64 (.f64 f (PI.f64)) (+.f64 1/4 (.f64 1/32 (*.f64 f (PI.f64)))))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)

prune247.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	224	5	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	5	230

Error

3.0b

Counts

230 → 5

Alt Table

Status	Error	Program
	61.9b	(.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 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (+.f64 f f)) (.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	61.9b	(.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 (-.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)))))) (/.f64 -4 (PI.f64)))
▶	3.3b	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	3.9b	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 10687 to 6811 computations (36.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
✓	1.0b	(*.f64 (PI.f64) 1/12)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(pow.f64 (PI.f64) 5)

series8.0ms (0.1%)

Counts

4 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	f	@	0	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
3.0ms	f	@	inf	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	-inf	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))

Time

Variable

Point

Expression

3.0ms

(*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))

3.0ms

inf

(*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))

2.0ms

-inf

(*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))

rewrite34.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`add-sqr-sqrt_binary64`
239×	`add-log-exp_binary64`
239×	`pow1_binary64`
238×	`log1p-expm1-u_binary64`
238×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	65
1	542	65

Stop Event

1×	node limit

Counts

4 → 54

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 5)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) 1/12)
(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) 2) (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 .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 5 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 5 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) 1/12)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64)))))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))))))))

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-neg_binary64`
313×	`sub-neg_binary64`
300×	`unswap-sqr_binary64`
219×	`fma-def_binary64`
202×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	594
1	290	586
2	924	575
3	3307	570

Stop Event

1×	node limit

Counts

66 → 78

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 31/1451520 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (+.f64 (.f64 20 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4 (/.f64 (log.f64 (*.f64 1/483840 (pow.f64 (PI.f64) 5))) (PI.f64))))
(-.f64 (+.f64 (.f64 20 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5))) (PI.f64))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(-.f64 (+.f64 (.f64 20 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5))) (PI.f64))) (+.f64 (.f64 28514304 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(-.f64 (+.f64 (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/483840 (pow.f64 (PI.f64) 5)))) (PI.f64))))
(-.f64 (+.f64 (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5)))) (PI.f64))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(-.f64 (+.f64 (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5)))) (PI.f64))) (+.f64 (.f64 28514304 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))))

Outputs
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(-.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (fma.f64 1/12 (.f64 (PI.f64) (*.f64 f f)) (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))))))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (*.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 (.f64 7/5760 (pow.f64 (PI.f64) 3)) (pow.f64 f 4))) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))))))
(fma.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)))
(fma.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12)))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 31/1451520 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (.f64 31/1451520 (pow.f64 f 6)) (pow.f64 (PI.f64) 5)))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 (.f64 7/5760 (pow.f64 (PI.f64) 3)) (pow.f64 f 4))) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 (*.f64 31/1451520 (pow.f64 f 6)) (pow.f64 (PI.f64) 5) (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))))))
(fma.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (-.f64 (.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (fma.f64 (PI.f64) (.f64 f (.f64 f 1/12)) (.f64 (pow.f64 f 6) (.f64 31/1451520 (pow.f64 (PI.f64) 5))))))
(fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 7/5760 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 (PI.f64) (.f64 (.f64 f f) -1/12) (fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) -31/1451520)))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (*.f64 -5 (neg.f64 (log.f64 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (*.f64 (log.f64 f) 5)) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (fma.f64 (log.f64 f) 5 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840))))
(.f64 -4 (/.f64 (fma.f64 (log.f64 f) 5 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840))) (PI.f64)))
(-.f64 (+.f64 (.f64 20 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4 (/.f64 (log.f64 (*.f64 1/483840 (pow.f64 (PI.f64) 5))) (PI.f64))))
(+.f64 (fma.f64 20 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (.f64 -4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64))))
(fma.f64 -4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (+.f64 (/.f64 (.f64 (log.f64 f) -20) (PI.f64)) (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3))))
(fma.f64 -4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (-.f64 (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3)) (/.f64 (.f64 (log.f64 f) 20) (PI.f64))))
(-.f64 (+.f64 (.f64 20 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5))) (PI.f64))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(-.f64 (fma.f64 20 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (/.f64 104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (+.f64 (/.f64 (.f64 (log.f64 f) -20) (PI.f64)) (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3))) (fma.f64 -4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (/.f64 -104832 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (-.f64 (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3)) (/.f64 (.f64 (log.f64 f) 20) (PI.f64))) (fma.f64 -4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (/.f64 -104832 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 20 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5))) (PI.f64))) (+.f64 (.f64 28514304 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))))
(-.f64 (fma.f64 20 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (+.f64 (/.f64 104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 28514304 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(-.f64 (fma.f64 20 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (+.f64 (/.f64 104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (/.f64 28514304 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (/.f64 (.f64 (log.f64 f) -20) (PI.f64)) (+.f64 (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3)) (-.f64 (/.f64 -104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (/.f64 28514304 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))))
(+.f64 (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (.f64 (log.f64 f) -20) (PI.f64)) (-.f64 (/.f64 -104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) 1/483840)) (PI.f64)) (/.f64 28514304 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/483840 (pow.f64 (PI.f64) 5))) (*.f64 -5 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/483840)) (*.f64 (log.f64 (/.f64 -1 f)) -5)) (PI.f64)))
(.f64 -4 (/.f64 (fma.f64 (log.f64 (/.f64 -1 f)) -5 (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/483840))) (PI.f64)))
(-.f64 (+.f64 (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (.f64 4 (/.f64 (log.f64 (neg.f64 (*.f64 1/483840 (pow.f64 (PI.f64) 5)))) (PI.f64))))
(+.f64 (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (.f64 4 (/.f64 (log.f64 (*.f64 -1/483840 (pow.f64 (PI.f64) 5))) (PI.f64)))))
(+.f64 (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (fma.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (.f64 -4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/483840)) (PI.f64)))))
(fma.f64 -4 (/.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 5) -1/483840)) (PI.f64)) (fma.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5)))) (PI.f64))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(+.f64 (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (.f64 -1/483840 (pow.f64 (PI.f64) 5))) (PI.f64)) (/.f64 104832 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))))
(-.f64 (fma.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/483840)) (PI.f64)) (/.f64 104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(+.f64 (fma.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3))) (fma.f64 -4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/483840)) (PI.f64)) (/.f64 -104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 672 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/483840 (pow.f64 (PI.f64) 5)))) (PI.f64))) (+.f64 (.f64 28514304 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 104832 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))))
(+.f64 (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (-.f64 (.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (.f64 -1/483840 (pow.f64 (PI.f64) 5))) (PI.f64)) (+.f64 (/.f64 104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 28514304 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))))
(-.f64 (fma.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 672 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (+.f64 (/.f64 104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/483840)) (PI.f64)) (/.f64 28514304 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (/.f64 (/.f64 (/.f64 672 f) f) (pow.f64 (PI.f64) 3)) (fma.f64 20 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (-.f64 (/.f64 -104832 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (/.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 5) -1/483840)) (PI.f64)) (/.f64 28514304 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))))

prune132.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	5	78
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Error

2.5b

Counts

83 → 7

Alt Table

Status	Error	Program
▶	3.4b	(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	3.5b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	14.1b	(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64)))) 3))
	13.8b	(log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))
	14.5b	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))) 3)
	61.9b	(.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 (-.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)))))) (/.f64 -4 (PI.f64)))
	3.6b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 3100 to 2246 computations (27.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)
✓	0.3b	(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
✓	0.4b	(/.f64 (log.f64 f) (PI.f64))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

series73.0ms (0.5%)

Counts

4 → 28

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	f	@	0	(/.f64 (log.f64 f) (PI.f64))
22.0ms	f	@	-inf	(/.f64 (log.f64 f) (PI.f64))
13.0ms	f	@	0	(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
7.0ms	f	@	inf	(/.f64 (log.f64 f) (PI.f64))
1.0ms	f	@	0	(.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`
155×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	312	39
2	4395	39

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

Inputs
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (log.f64 f) (PI.f64))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 3) (log.f64 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 3) (neg.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (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 0 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 3) (log.f64 (PI.f64)))))) (#(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 -4) (log.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (.f64 (PI.f64) 1/4)))))) (#(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 (log1p.f64 3) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (.f64 (log1p.f64 3) (log1p.f64 3)) (+.f64 (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (.f64 (log1p.f64 3) (log.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log1p.f64 3) (log1p.f64 3)) (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log1p.f64 3) (log.f64 (PI.f64))))))) (#(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) 1/4)))))) (#(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 log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 f) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (.f64 (cbrt.f64 (log.f64 f)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 f)) (.f64 (sqrt.f64 (log.f64 f)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 f)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) 1) (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 f)) 1) (/.f64 (sqrt.f64 (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 f) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 f)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 f)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 f) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 f (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 f) (PI.f64)) (.f64 (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) (fma.f64 (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (PI.f64) (log.f64 f)) (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 1 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (/.f64 1 (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (-.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (PI.f64) (log.f64 f)) (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))) (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (PI.f64) (log.f64 f)) (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3)) (+.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (PI.f64) (log.f64 f)) (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))))) (neg.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2))) (neg.f64 (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (/.f64 (PI.f64) (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (neg.f64 (log.f64 f)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log.f64 f) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) (.f64 (PI.f64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 (PI.f64) (log.f64 f)) 1)) (.f64 (/.f64 (PI.f64) (log.f64 f)) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (neg.f64 (log.f64 f)) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (neg.f64 (PI.f64)) 1)) (.f64 (neg.f64 (PI.f64)) (/.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log.f64 f) (neg.f64 (PI.f64))) (.f64 (PI.f64) (log.f64 (.f64 (PI.f64) 1/4)))) (.f64 (PI.f64) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (PI.f64)) (.f64 (/.f64 (PI.f64) (log.f64 f)) (log.f64 (.f64 (PI.f64) 1/4)))) (.f64 (/.f64 (PI.f64) (log.f64 f)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (neg.f64 (log.f64 f)) (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (log.f64 (.f64 (PI.f64) 1/4)))) (.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (log.f64 f)) (log.f64 (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) 3)) (+.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (-.f64 (.f64 (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64))) (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (.f64 (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)))) (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (.f64 (PI.f64) (log.f64 f)) (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 f) (/.f64 1 (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))) (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 2)) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) f) (PI.f64)) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f (.f64 f -1/12)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f (*.f64 f -1/12)))))))))

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-neg_binary64`
302×	`sub-neg_binary64`
266×	`associate-l_binary64`
240×	`distribute-neg-in_binary64`
193×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	412
1	66	412
2	131	348
3	313	348
4	964	340
5	3465	340

Stop Event

1×	node limit

Counts

161 → 141

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))

Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))) (PI.f64))
(neg.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 f) (PI.f64))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (/.f64 (log.f64 -1) (PI.f64)) (+.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 -1/12 (.f64 (PI.f64) (*.f64 f f)))
(.f64 (PI.f64) (.f64 -1/12 (*.f64 f f)))
(.f64 f (.f64 f (*.f64 (PI.f64) -1/12)))

prune161.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	138	10	148

Error

2.4b

Counts

148 → 10

Alt Table

Status	Error	Program
	3.6b	(fma.f64 4 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
	3.6b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
▶	3.4b	(fma.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	3.7b	(fma.f64 4 (.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (/.f64 1 (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	3.5b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	3.5b	(fma.f64 4 (.f64 (-.f64 (.f64 (PI.f64) (log.f64 f)) (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 1 (pow.f64 (PI.f64) 2))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
	14.5b	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))) 3)
	3.6b	(fma.f64 4 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	61.9b	(.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 (-.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)))))) (/.f64 -4 (PI.f64)))
	3.5b	(fma.f64 4 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))

Compiler

Compiled 4225 to 2408 computations (43% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)
✓	0.3b	(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
✓	0.3b	(/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
✓	0.4b	(/.f64 f (/.f64 4 (PI.f64)))

series68.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	f	@	0	(/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
14.0ms	f	@	-inf	(/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
12.0ms	f	@	inf	(/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
1.0ms	f	@	0	(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
1.0ms	f	@	0	(/.f64 f (/.f64 4 (PI.f64)))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
182×	`expm1-udef_binary64`
182×	`log1p-udef_binary64`
178×	`log-div_binary64`
155×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	218	36
2	2861	36

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

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

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
599×	`fma-def_binary64`
391×	`div-sub_binary64`
305×	`sub-neg_binary64`
268×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	504
1	56	504
2	95	504
3	204	504
4	463	504
5	1021	504
6	2185	504
7	4239	504

Stop Event

1×	node limit

Counts

163 → 136

Calls

Call 1

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

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

prune189.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	150	11	161

Error

2.4b

Counts

161 → 11

Alt Table

Status	Error	Program
	3.6b	(fma.f64 4 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
	3.6b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
✓	3.4b	(fma.f64 4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	3.5b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	3.5b	(fma.f64 4 (.f64 (-.f64 (.f64 (PI.f64) (log.f64 f)) (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 1 (pow.f64 (PI.f64) 2))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
	3.8b	(fma.f64 4 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
	14.5b	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64))))) (/.f64 -4 (PI.f64))))) 3)
	3.6b	(fma.f64 4 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	61.9b	(.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 (-.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)))))) (/.f64 -4 (PI.f64)))
	3.5b	(fma.f64 4 (-.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 f) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
	3.7b	(fma.f64 4 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3) (pow.f64 (PI.f64) 3))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))

Compiler

Compiled 3936 to 2520 computations (36% saved)

regimes659.0ms (4.5%)

Accuracy

Total 0.7b remaining (34%)

Threshold costs 0.7b (34%)

Counts

214 → 1

Compiler

Compiled 7107 to 4496 computations (36.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	50
1	28	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64)))))) -4) (PI.f64))

Outputs

(/.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) f) 3) -1/2880 (fma.f64 f (*.f64 (PI.f64) 1/12) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/483840) (/.f64 (/.f64 4 f) (PI.f64)))))) -4) (PI.f64))

end246.0ms (1.7%)

Stop Event

1×

fuel

Compiler

Compiled 372 to 276 computations (25.8% saved)

Details

analyze1.4s (9.7%)

sample10.7s (74%)

preprocess34.0ms (0.2%)

simplify23.0ms (0.2%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series11.0ms (0.1%)

rewrite98.0ms (0.7%)

simplify58.0ms (0.4%)

prune247.0ms (1.7%)

localize21.0ms (0.1%)

series8.0ms (0.1%)

rewrite34.0ms (0.2%)

simplify33.0ms (0.2%)

prune132.0ms (0.9%)

localize13.0ms (0.1%)

series73.0ms (0.5%)

rewrite70.0ms (0.5%)

simplify35.0ms (0.2%)

prune161.0ms (1.1%)

localize14.0ms (0.1%)

series68.0ms (0.5%)

rewrite60.0ms (0.4%)

simplify45.0ms (0.3%)

prune189.0ms (1.3%)

regimes659.0ms (4.5%)

simplify2.0ms (0%)

end246.0ms (1.7%)

Profiling