Details

analyze1.4s (9.8%)

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)

sample10.3s (73.9%)

Results

3.2s	3962×	body	1024	valid
3.1s	4075×	body	1024	invalid
1.2s	2096×	body	512	invalid
1.2s	2022×	body	512	valid
762.0ms	541×	body	2048	valid
413.0ms	1068×	body	256	valid
368.0ms	1012×	body	256	invalid
154.0ms	663×	body	128	valid
4.0ms	4×	body	2048	invalid
1.0ms	6×	body	128	invalid

Compiler

Compiled 78 to 62 computations (20.5% saved)

preprocess33.0ms (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)

simplify21.0ms (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)))

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

61.1b

Counts

3 → 1

Alt Table

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

Status

Error

Program

▶

61.1b

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

Compiler

Compiled 136 to 100 computations (26.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) f)
✓	0.4b	(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)))))
✓	1.7b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
✓	6.8b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))

series74.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
29.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))
4.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.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))))

rewrite122.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`prod-diff_binary64`
164×	`add-sqr-sqrt_binary64`
161×	`pow1_binary64`
160×	`add-log-exp_binary64`
159×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	121
1	331	121
2	4439	121

Stop Event

1×	node limit

Counts

4 → 179

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))))
(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 (PI.f64) f)

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

580×	`distribute-rgt-neg-in_binary64`
551×	`fma-neg_binary64`
473×	`associate-r_binary64`
468×	`associate-l_binary64`
342×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1344
1	242	1338
2	749	1334
3	3584	1334

Stop Event

1×	node limit

Counts

227 → 207

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 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 f))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (.f64 7/23040 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (log.f64 f)))
(-.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 31/5806080 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6))) (log.f64 (/.f64 4 (PI.f64))))) (+.f64 (.f64 7/23040 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (log.f64 f)))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))
(*.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))

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

prune251.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	217	6	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	6	224

Error

2.5b

Counts

224 → 6

Alt Table

Status	Error	Program
▶	3.4b	(.f64 (-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 31/5806080 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
	3.7b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (log.f64 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))) (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) 1/3) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (+.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 11636 to 7819 computations (32.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 f (pow.f64 (PI.f64) 2))
✓	1.6b	(pow.f64 (PI.f64) 4)
✓	1.6b	(pow.f64 (PI.f64) 6)
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

series2.0ms (0%)

Counts

4 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(*.f64 f (pow.f64 (PI.f64) 2))
0.0ms	f	@	inf	(*.f64 f (pow.f64 (PI.f64) 2))
0.0ms	f	@	-inf	(*.f64 f (pow.f64 (PI.f64) 2))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`log1p-expm1-u_binary64`
913×	`expm1-log1p-u_binary64`
116×	`add-sqr-sqrt_binary64`
113×	`add-log-exp_binary64`
113×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	255	25
2	2732	25

Stop Event

1×	node limit

Counts

4 → 81

Calls

Call 1

Inputs
(log.f64 (/.f64 4 (PI.f64)))
(pow.f64 (PI.f64) 6)
(pow.f64 (PI.f64) 4)
(*.f64 f (pow.f64 (PI.f64) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (log.f64 (pow.f64 (PI.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (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 (log.f64 4) (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 (log.f64 4) 3) (pow.f64 (log.f64 (PI.f64)) 3)) (+.f64 (.f64 (log.f64 4) (log.f64 4)) (+.f64 (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (.f64 (log.f64 4) (log.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (log.f64 4) (log.f64 4)) (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64)))) (+.f64 (log.f64 4) (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 expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))))) (#(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 -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 8)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 6) (pow.f64 (cbrt.f64 (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 6) (pow.f64 (sqrt.f64 (PI.f64)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 4) (PI.f64)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 4) (cbrt.f64 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 6 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 6 (log.f64 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (cbrt.f64 (pow.f64 (PI.f64) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 8)) (cbrt.f64 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 4) (pow.f64 (cbrt.f64 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 4) (pow.f64 (sqrt.f64 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 12))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 f (pow.f64 (PI.f64) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 f (pow.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 f (pow.f64 (PI.f64) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (sqrt.f64 f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 f) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 f (pow.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 f (pow.f64 (PI.f64) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 6) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 f (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 f (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 f (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 f (pow.f64 (PI.f64) 2))) 1))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

81 → 81

Calls

Call 1

Inputs

Outputs

prune122.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Error

2.5b

Counts

87 → 6

Alt Table

Status	Error	Program
✓	3.4b	(.f64 (-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 31/5806080 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
▶	3.7b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (log.f64 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))) (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) 1/3) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (+.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 3912 to 2827 computations (27.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 f (PI.f64))
✓	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.4b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
✓	1.0b	(*.f64 (PI.f64) 1/12)

series8.0ms (0.1%)

Counts

4 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	0	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	-inf	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	inf	(/.f64 4 (*.f64 f (PI.f64)))
0.0ms	f	@	0	(/.f64 4 (*.f64 f (PI.f64)))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`
196×	`log-pow_binary64`
146×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	275	43
2	3283	43

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))))) (#(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 sqrt.f64 (pow.f64 (.f64 (PI.f64) 1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))))) (#(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 expm1.f64 (log1p.f64 (.f64 (PI.f64) 1/12)))))) (#(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 +.f64 0 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) -4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) -4)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) -4) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) 4) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f)))) (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) f)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (PI.f64) f) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 f) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 f) (PI.f64)))))))) (#(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 (pow.f64 (exp.f64 f) (PI.f64)))))) (#(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 expm1.f64 (log1p.f64 (.f64 (PI.f64) f)))))) (#(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))))))

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-neg_binary64`
308×	`sub-neg_binary64`
300×	`unswap-sqr_binary64`
200×	`fma-def_binary64`
183×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	564
1	273	555
2	847	546
3	3052	537

Stop Event

1×	node limit

Counts

99 → 110

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 1/1152 (.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 1/1152 (.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 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(-.f64 (.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(-.f64 (.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))))

Outputs
(*.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 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 (.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(+.f64 (.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (.f64 (.f64 f (.f64 (PI.f64) f)) -1/12))
(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 f (*.f64 (PI.f64) f)) -1/12))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 1/1152 (.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 (.f64 1/1152 (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 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(fma.f64 1/1152 (.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 f (*.f64 (PI.f64) f)) -1/12)))
(fma.f64 1/1152 (.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 f (.f64 (PI.f64) f)) -1/12)))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 f) (PI.f64))) (.f64 1/1152 (.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 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 (.f64 1/1152 (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 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 f) (PI.f64)) (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))) (fma.f64 1/12 (.f64 (PI.f64) (.f64 f f)) (fma.f64 (.f64 1/82944 (pow.f64 f 6)) (pow.f64 (PI.f64) 5) (/.f64 (.f64 4 (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))))
(fma.f64 1/1152 (.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 (pow.f64 f 6) (.f64 1/82944 (pow.f64 (PI.f64) 5)) (.f64 f (.f64 (.f64 (PI.f64) f) 1/12)))))
(fma.f64 1/1152 (.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))) (fma.f64 (PI.f64) (.f64 (.f64 f f) -1/12) (.f64 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) -1/82944))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (log.f64 f))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))))
(-.f64 (.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))
(-.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (+.f64 (/.f64 192 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)))))
(-.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))))
(-.f64 (/.f64 (.f64 -4 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3))))))
(fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 (/.f64 -192 (.f64 f f)) (pow.f64 (PI.f64) 3)))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64)))))
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 192 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (.f64 4 (/.f64 (log.f64 (*.f64 (PI.f64) 1/12)) (PI.f64)))))
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 (.f64 -4 (log.f64 f)) (PI.f64)) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 192 (.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))))
(+.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 4 (/.f64 (log.f64 (*.f64 1/12 (PI.f64))) (PI.f64))))))
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (+.f64 (/.f64 192 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 147456 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64)))))
(-.f64 (fma.f64 4 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 (/.f64 192 (.f64 f f)) (pow.f64 (PI.f64) 3)) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 147456 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (/.f64 (.f64 -4 (log.f64 f)) (PI.f64)) (-.f64 (-.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3))))) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64)) (/.f64 147456 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (+.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) 1/12)) (PI.f64))) (/.f64 (/.f64 -192 (.f64 f f)) (pow.f64 (PI.f64) 3)))) (/.f64 -147456 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))
(.f64 -4 (/.f64 (-.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 -1/12 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))))
(-.f64 (.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64)))) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3)))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (.f64 f (*.f64 f (pow.f64 (PI.f64) 3)))))
(fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 (/.f64 -192 (.f64 f f)) (pow.f64 (PI.f64) 3)))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 (.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64)) (/.f64 (/.f64 192 (*.f64 f f)) (pow.f64 (PI.f64) 3))))
(+.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3))))))
(+.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 (/.f64 -192 (*.f64 f f)) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 4 (/.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 147456 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (fma.f64 4 (/.f64 (log.f64 (.f64 -1/12 (PI.f64))) (PI.f64)) (/.f64 192 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (/.f64 147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
(-.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (/.f64 147456 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))) (fma.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64)) (/.f64 (/.f64 192 (.f64 f f)) (pow.f64 (PI.f64) 3)))))
(+.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (+.f64 (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 -192 (.f64 f (.f64 f (pow.f64 (PI.f64) 3))))) (/.f64 -147456 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
(+.f64 (/.f64 4608 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (+.f64 (fma.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) -1/12)) (PI.f64))) (/.f64 (/.f64 -192 (.f64 f f)) (pow.f64 (PI.f64) 3))) (/.f64 -147456 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))

prune135.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	101	15	116

Error

2.3b

Counts

116 → 15

Alt Table

Status	Error	Program
	3.7b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (exp.f64 (log.f64 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	3.9b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
✓	3.4b	(.f64 (-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 31/5806080 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
	3.7b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	61.1b	(.f64 (log.f64 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))) (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
▶	3.6b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4)))
	62.6b	(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1))
	61.1b	(.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	3.6b	(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 f (*.f64 (PI.f64) f)) -1/12))
	61.1b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) 1/3) (/.f64 -4 (PI.f64)))
	3.9b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3))
	61.1b	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (+.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	4.6b	(pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 3)
	11.5b	(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))
	62.9b	(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))

Compiler

Compiled 3268 to 2258 computations (30.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) f)
✓	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.3b	(/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4))
	1.0b	(*.f64 (PI.f64) 1/12)

series10.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	f	@	-inf	(/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4))
3.0ms	f	@	inf	(/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4))
3.0ms	f	@	0	(/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4))
0.0ms	f	@	-inf	(/.f64 4 (*.f64 (PI.f64) f))
0.0ms	f	@	0	(/.f64 4 (*.f64 (PI.f64) f))

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`
197×	`log-pow_binary64`
164×	`prod-diff_binary64`
146×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	275	33
2	3424	33

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

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

simplify40.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

730×	`times-frac_binary64`
295×	`unswap-sqr_binary64`
279×	`distribute-rgt-in_binary64`
276×	`fma-def_binary64`
134×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	1348
1	452	1314
2	1780	1270

Stop Event

1×	node limit

Counts

87 → 89

Calls

Call 1

Inputs
(*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(-.f64 (.f64 1/192 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(-.f64 (.f64 1/192 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (+.f64 (.f64 1/9216 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3))) (+.f64 (.f64 1/18432 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
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(-.f64 (.f64 12 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (pow.f64 (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) 2))))) (+.f64 (.f64 576 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) 3) (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 288 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) 2) (pow.f64 (PI.f64) 3))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))))))))
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(.f64 -1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (neg.f64 (.f64 1/12 (PI.f64)))) (log.f64 (/.f64 -1 f)))))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))

Outputs
(*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(/.f64 -1/4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(-.f64 (.f64 1/192 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(+.f64 (.f64 1/192 (/.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(fma.f64 1/192 (.f64 (/.f64 (.f64 f f) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)) (pow.f64 (PI.f64) 3)) (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(fma.f64 -1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 1/192 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2) (.f64 (.f64 (pow.f64 (PI.f64) 3) f) f))))
(-.f64 (.f64 1/192 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (+.f64 (.f64 1/9216 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3))) (+.f64 (.f64 1/18432 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
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(/.f64 -1/4 (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))

prune167.0ms (1.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	4	9	13
Picked	1	0	1
Done	0	1	1
Total	121	15	136

Error

2.3b

Counts

136 → 15

Alt Table

Status	Error	Program
✓	3.4b	(.f64 (-.f64 (fma.f64 1/48 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))) (fma.f64 31/5806080 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 6)) (log.f64 (/.f64 4 (PI.f64))))) (fma.f64 7/23040 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (log.f64 f))) (/.f64 -4 (PI.f64)))
	3.8b	(/.f64 1 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)) (+.f64 (/.f64 1/442368 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 1/1327104)) (-.f64 (fma.f64 1/442368 (/.f64 (pow.f64 f 6) (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (pow.f64 (PI.f64) 7))) (/.f64 1/192 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2) (.f64 (.f64 (pow.f64 (PI.f64) 3) f) f)))) (fma.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 1/4 (.f64 (.f64 (/.f64 (pow.f64 f 4) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)) (pow.f64 (PI.f64) 5)) (+.f64 (/.f64 1/9216 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 1/18432))))))
	3.8b	(/.f64 1 (-.f64 (+.f64 (.f64 1/442368 (/.f64 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3))) (+.f64 (.f64 1/1327104 (/.f64 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (+.f64 (.f64 1/192 (/.f64 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (.f64 1/442368 (/.f64 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4)))))) (+.f64 (.f64 1/9216 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3))) (+.f64 (.f64 1/18432 (/.f64 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))))
	4.6b	(pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 3)
	4.5b	(/.f64 1 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f)))) -4)) 2)) (/.f64 (PI.f64) (cbrt.f64 (.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) -4)))))
	11.5b	(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))
	3.7b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (exp.f64 (log.f64 (*.f64 (PI.f64) f)))))) -4)))
	61.1b	(.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	3.6b	(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 f (*.f64 (PI.f64) f)) -1/12))
	61.1b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) 3) 1/3) (/.f64 -4 (PI.f64)))
	3.9b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3))
	61.1b	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (.f64 (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (+.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	3.9b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	61.1b	(.f64 (log.f64 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))) (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (cbrt.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	4.9b	(/.f64 1 (.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f)))) -4)) 2)) (cbrt.f64 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))))))))

Compiler

Compiled 4416 to 3199 computations (27.6% saved)

regimes465.0ms (3.3%)

Accuracy

Total 0.7b remaining (30.8%)

Threshold costs 0.7b (30.8%)

Counts

190 → 1

Compiler

Compiled 5730 to 3899 computations (32% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	83
1	45	83

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 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 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)))))))) (/.f64 -4 (PI.f64)))

Outputs

(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (fma.f64 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 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)))))))) (/.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))) (fma.f64 1/192 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/2 (*.f64 (PI.f64) f) (fma.f64 1/61440 (*.f64 (pow.f64 f 5) (pow.f64 (PI.f64) 5)) (*.f64 1/41287680 (*.f64 (pow.f64 f 7) (pow.f64 (PI.f64) 7)))))))) (/.f64 -4 (PI.f64)))

end493.0ms (3.5%)

Stop Event

1×

fuel

Compiler

Compiled 827 to 615 computations (25.6% saved)

Details

analyze1.4s (9.8%)

sample10.3s (73.9%)

preprocess33.0ms (0.2%)

simplify21.0ms (0.2%)

prune6.0ms (0%)

localize14.0ms (0.1%)

series74.0ms (0.5%)

rewrite122.0ms (0.9%)

simplify57.0ms (0.4%)

prune251.0ms (1.8%)

localize24.0ms (0.2%)

series2.0ms (0%)

rewrite47.0ms (0.3%)

simplify6.0ms (0%)

prune122.0ms (0.9%)

localize9.0ms (0.1%)

series8.0ms (0.1%)

rewrite54.0ms (0.4%)

simplify33.0ms (0.2%)

prune135.0ms (1%)

localize10.0ms (0.1%)

series10.0ms (0.1%)

rewrite56.0ms (0.4%)

simplify40.0ms (0.3%)

prune167.0ms (1.2%)

regimes465.0ms (3.3%)

simplify2.0ms (0%)

end493.0ms (3.5%)

Profiling