Details

analyze1.3s (8.4%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample11.4s (75.2%)

Results

3.5s	4018×	body	1024	valid
3.5s	3901×	body	1024	invalid
1.4s	2024×	body	512	valid
1.1s	1943×	body	512	invalid
795.0ms	525×	body	2048	valid
431.0ms	1034×	body	256	valid
425.0ms	986×	body	256	invalid
157.0ms	655×	body	128	valid
4.0ms	4×	body	2048	invalid
1.0ms	3×	body	128	invalid

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify46.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-neg_binary64`
569×	`fma-def_binary64`
365×	`div-sub_binary64`
240×	`associate-/r*_binary64`
202×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	49	61
2	117	59
3	295	55
4	736	55
5	1625	55
6	4003	55
7	5053	55

prune7.0ms (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

61.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

61.7b

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.3b	(*.f64 (PI.f64) f)
✓	1.7b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
✓	5.4b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series40.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

29.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
7.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
3.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
2.0ms	(*.f64 (PI.f64) f)

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`prod-diff_binary64`
152×	`add-sqr-sqrt_binary64`
148×	`egg-rr`
147×	`log1p-expm1-u_binary64`
147×	`expm1-log1p-u_binary64`

Counts

4 → 148

Calls

4 calls:

83.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
83.0ms	(*.f64 (PI.f64) f)
83.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
83.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	311	81
2	4005	81
3	5131	81

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

560×	`cancel-sign-sub-inv_binary64`
495×	`*-commutative_binary64`
455×	`fma-neg_binary64`
445×	`distribute-rgt-neg-in_binary64`
418×	`distribute-lft-neg-in_binary64`

Counts

196 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	924
1	159	918
2	442	914
3	1474	914
4	2580	914
5	4597	914
6	4905	914
7	4926	914

prune189.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	3	217

Error

2.1b

Counts

217 → 3

Alt Table

Status	Error	Program
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶	2.4b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 9225 to 6187 computations (32.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
✓	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.3b	(*.f64 f (PI.f64))
✓	0.4b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

series32.0ms (0.2%)

Counts

4 → 24

Calls

4 calls:

16.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
8.0ms	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
6.0ms	(/.f64 4 (*.f64 f (PI.f64)))
2.0ms	(*.f64 f (PI.f64))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
218×	`expm1-udef_binary64`
218×	`log1p-udef_binary64`
188×	`log-pow_binary64`
128×	`log-div_binary64`

Counts

4 → 106

Calls

4 calls:

60.0ms	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
60.0ms	(/.f64 4 (*.f64 f (PI.f64)))
60.0ms	(*.f64 f (PI.f64))
60.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	254	54
2	2936	54
3	5148	54

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

727×	`fma-neg_binary64`
308×	`sub-neg_binary64`
300×	`unswap-sqr_binary64`
266×	`times-frac_binary64`
219×	`fma-def_binary64`

Counts

130 → 134

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	750
1	290	723
2	861	714
3	2552	681
4	4778	681
5	4985	681

prune169.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	144	9	153
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

1.7b

Counts

156 → 11

Alt Table

Status	Error	Program
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
	3.3b	(.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))))) (/.f64 -4 (PI.f64)))
	2.4b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) -4)))
	2.4b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	62.4b	(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) 1))
	2.4b	(-.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)))))
	3.3b	(pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))) 3)
▶	2.3b	(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))
	39.4b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)))) (/.f64 -4 (PI.f64)))
	12.8b	(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))))))

Compiler

Compiled 3805 to 2395 computations (37.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.3b	(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))
	0.3b	(*.f64 f (PI.f64))

series16.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

16.0ms

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log-prod_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
191×	`log-pow_binary64`
170×	`log-div_binary64`

Counts

1 → 44

Calls

1 calls:

63.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	261	25
2	3163	25
3	5632	25

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-neg_binary64`
308×	`sub-neg_binary64`
300×	`unswap-sqr_binary64`
264×	`times-frac_binary64`
211×	`fma-def_binary64`

Counts

56 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	564
1	273	555
2	831	546
3	2512	513
4	4758	513
5	4967	513

prune201.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	167	13	180

Error

1.7b

Counts

180 → 13

Alt Table

Status	Error	Program
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
	3.3b	(.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))))) (/.f64 -4 (PI.f64)))
	2.4b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) -4)))
▶	2.4b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	2.4b	(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (exp.f64 (log.f64 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) -4))
	62.4b	(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) 1))
	2.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4)) 3))
	2.4b	(-.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)))))
	2.6b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64))))
	3.3b	(.f64 (cbrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))) 2))
✓	2.3b	(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))
	12.8b	(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))))))

Compiler

Compiled 4386 to 2749 computations (37.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64)))))
	0.3b	(*.f64 f (PI.f64))
✓	0.4b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
✓	1.7b	(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))

series27.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

18.0ms

(*.f64 (log.f64 (fma.f64 (*.f64 f (PI.f64)) 1/12 (/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))

7.0ms

(/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64)))))

2.0ms

(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`
202×	`log-pow_binary64`
145×	`prod-diff_binary64`

Counts

3 → 87

Calls

3 calls:

56.0ms

(/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64)))))

56.0ms

(*.f64 (log.f64 (fma.f64 (*.f64 f (PI.f64)) 1/12 (/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))

56.0ms

(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	271	38
2	3067	38
3	5365	38

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-neg_binary64`
308×	`sub-neg_binary64`
300×	`unswap-sqr_binary64`
264×	`times-frac_binary64`
211×	`fma-def_binary64`

Counts

123 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	720
1	278	711
2	835	702
3	2520	669
4	4766	669
5	4975	669

prune147.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	148	13	161

Error

1.7b

Counts

161 → 13

Alt Table

Status	Error	Program
	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (log.f64 (fma.f64 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) -1/2880 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
	3.3b	(.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))))) (/.f64 -4 (PI.f64)))
	2.4b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) -4)))
	2.4b	(.f64 (log.f64 (fma.f64 (pow.f64 (pow.f64 (.f64 f (PI.f64)) 3) 1/3) 1/12 (/.f64 4 (log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	2.4b	(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (exp.f64 (log.f64 (.f64 f (PI.f64))))))) (/.f64 (PI.f64) -4))
	62.4b	(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) 1))
	2.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4)) 3))
	2.4b	(-.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)))))
	2.6b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64))))
	3.3b	(.f64 (cbrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))) 2))
✓	2.3b	(/.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (PI.f64) -4))
	12.8b	(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))))))

Compiler

Compiled 3535 to 2164 computations (38.8% saved)

regimes753.0ms (5%)

Accuracy

Total 0.8b remaining (31.9%)

Threshold costs 0.8b (31.9%)

Counts

117 → 1

Compiler

Compiled 18258 to 13394 computations (26.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	13	25
2	13	25

end244.0ms (1.6%)

Compiler: Compiled 377 to 263 computations (30.2% saved)

Details

analyze1.3s (8.4%)

sample11.4s (75.2%)

simplify46.0ms (0.3%)

prune7.0ms (0%)

localize13.0ms (0.1%)

series40.0ms (0.3%)

rewrite89.0ms (0.6%)

simplify96.0ms (0.6%)

prune189.0ms (1.2%)

localize11.0ms (0.1%)

series32.0ms (0.2%)

rewrite62.0ms (0.4%)

simplify64.0ms (0.4%)

prune169.0ms (1.1%)

localize8.0ms (0.1%)

series16.0ms (0.1%)

rewrite64.0ms (0.4%)

simplify61.0ms (0.4%)

prune201.0ms (1.3%)

localize10.0ms (0.1%)

series27.0ms (0.2%)

rewrite58.0ms (0.4%)

simplify66.0ms (0.4%)

prune147.0ms (1%)

regimes753.0ms (5%)

simplify2.0ms (0%)

end244.0ms (1.6%)

Profiling