Details

analyze1.4s (9.5%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.7s (71.5%)

Results

3.4s	3971×	body	1024	valid
3.2s	4097×	body	1024	invalid
1.3s	2116×	body	512	valid
1.1s	1959×	body	512	invalid
773.0ms	510×	body	2048	valid
425.0ms	989×	body	256	valid
377.0ms	999×	body	256	invalid
156.0ms	670×	body	128	valid
2.0ms	2×	body	2048	invalid
1.0ms	4×	body	128	invalid

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

61.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.3b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.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

▶

61.3b

(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.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
✓	0.2b	(*.f64 (PI.f64) f)
✓	0.2b	(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)))))
✓	1.2b	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
✓	5.9b	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))

series474.0ms (3.2%)

Counts

4 → 48

Calls

4 calls:

427.0ms	(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)))))
35.0ms	(/.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))))
9.0ms	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
2.0ms	(*.f64 (PI.f64) f)

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`prod-diff_binary64`
179×	`egg-rr`
162×	`add-sqr-sqrt_binary64`
157×	`log1p-expm1-u_binary64`
157×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	121
1	335	121
2	4471	121

Stop Event

1×	node limit

Counts

4 → 179

Calls

4 calls:

102.0ms	(*.f64 (PI.f64) f)
102.0ms	(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)))))
102.0ms	(/.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))))
102.0ms	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))

simplify51.0ms (0.3%)

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

prune240.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	218	5	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	5	224

Error

1.7b

Counts

224 → 5

Alt Table

Status	Error	Program
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) 1/3))) (/.f64 -4 (PI.f64)))
▶	2.2b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	2.6b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	61.3b	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	61.2b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)) (pow.f64 (exp.f64 -1/4) (.f64 (.f64 (PI.f64) f) 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (+.f64 f f)) (+.f64 (pow.f64 (exp.f64 -1/2) (.f64 (PI.f64) f)) (pow.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (pow.f64 (exp.f64 -1/4) (PI.f64))) f)))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 11418 to 7271 computations (36.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.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)

series25.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
6.0ms	(/.f64 4 (*.f64 f (PI.f64)))
2.0ms	(*.f64 f (PI.f64))
0.0ms	(*.f64 (PI.f64) 1/12)

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	275	43
2	3303	43

Stop Event

1×	node limit

Counts

4 → 87

Calls

4 calls:

53.0ms	(*.f64 f (PI.f64))
53.0ms	(/.f64 4 (*.f64 f (PI.f64)))
53.0ms	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
53.0ms	(*.f64 (PI.f64) 1/12)

simplify32.0ms (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

prune111.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Error

1.5b

Counts

115 → 11

Alt Table

Status	Error	Program
	62.2b	(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1))
	2.5b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) 1/3))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 1/12 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
	2.2b	(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))
	61.3b	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	12.8b	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))) 3)
	42.1b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))) (/.f64 -4 (PI.f64)))
	2.2b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4)))
▶	2.1b	(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) -1/4))
	61.6b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 2849 to 1945 computations (31.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) f)
✓	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.3b	(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) -1/4))
	1.0b	(*.f64 (PI.f64) 1/12)

series24.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

17.0ms	(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) -1/4))
7.0ms	(/.f64 4 (*.f64 (PI.f64) f))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`expm1-udef_binary64`
242×	`log1p-udef_binary64`
207×	`log-pow_binary64`
164×	`prod-diff_binary64`
134×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	277	33
2	3489	33

Stop Event

1×	node limit

Counts

2 → 63

Calls

2 calls:

57.0ms	(/.f64 4 (*.f64 (PI.f64) f))
57.0ms	(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) -1/4))

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-neg_binary64`
309×	`sub-neg_binary64`
300×	`unswap-sqr_binary64`
209×	`fma-def_binary64`
184×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	660
1	278	651
2	851	642
3	3050	633

Stop Event

1×	node limit

Counts

87 → 89

prune133.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Error

1.5b

Counts

132 → 12

Alt Table

Status	Error	Program
	62.2b	(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1))
	2.5b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) 1/3))) (/.f64 -4 (PI.f64)))
▶	2.1b	(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (log1p.f64 (expm1.f64 (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) -1/4))
	61.6b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))))) (/.f64 -4 (PI.f64)))
	2.2b	(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))
	61.3b	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	3.2b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f))))) -1/4))
	12.8b	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))) 3)
	42.1b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))) (/.f64 -4 (PI.f64)))
	2.2b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4)))
	2.4b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))

Compiler

Compiled 3250 to 2232 computations (31.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 4 (log1p.f64 (expm1.f64 (*.f64 (PI.f64) f))))
✓	0.3b	(/.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (log1p.f64 (expm1.f64 (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) -1/4))
	1.0b	(*.f64 (PI.f64) 1/12)
✓	1.5b	(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

series28.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

16.0ms

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

10.0ms

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

2.0ms

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

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

255×	`expm1-udef_binary64`
255×	`log1p-udef_binary64`
187×	`prod-diff_binary64`
141×	`add-sqr-sqrt_binary64`
136×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	297	38
2	3637	38

Stop Event

1×	node limit

Counts

3 → 90

Calls

3 calls:

57.0ms

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

57.0ms

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

57.0ms

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

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-neg_binary64`
309×	`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	94	720
1	278	711
2	851	702
3	3041	693

Stop Event

1×	node limit

Counts

126 → 114

prune106.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	130	12	142

Error

1.5b

Counts

142 → 12

Alt Table

Status	Error	Program
	3.0b	(pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 3)
	61.3b	(.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	62.2b	(log1p.f64 (-.f64 (pow.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1))
	2.5b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 3) 1/3))) (/.f64 -4 (PI.f64)))
	2.1b	(/.f64 (log.f64 (fma.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12)) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12)))) f (/.f64 4 (log1p.f64 (expm1.f64 (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) -1/4))
	2.2b	(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))
	3.0b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f))))) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))))
	42.1b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3))) (/.f64 -4 (PI.f64)))
	2.2b	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/12) f (/.f64 4 (*.f64 (PI.f64) f)))) -4)))
	2.4b	(.f64 (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (sqrt.f64 (log.f64 (fma.f64 (PI.f64) (.f64 1/12 f) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))))
	61.6b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) f))))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 3217 to 2149 computations (33.2% saved)

regimes918.0ms (6.2%)

Accuracy

Total 0.7b remaining (30.8%)

Threshold costs 0.7b (30.8%)

Counts

157 → 1

Compiler

Compiled 23736 to 17864 computations (24.7% 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

end262.0ms (1.8%)

Compiler: Compiled 412 to 306 computations (25.7% saved)

Details

analyze1.4s (9.5%)

sample10.7s (71.5%)

simplify23.0ms (0.2%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series474.0ms (3.2%)

rewrite108.0ms (0.7%)

simplify51.0ms (0.3%)

prune240.0ms (1.6%)

localize12.0ms (0.1%)

series25.0ms (0.2%)

rewrite55.0ms (0.4%)

simplify32.0ms (0.2%)

prune111.0ms (0.7%)

localize9.0ms (0.1%)

series24.0ms (0.2%)

rewrite58.0ms (0.4%)

simplify37.0ms (0.2%)

prune133.0ms (0.9%)

localize11.0ms (0.1%)

series28.0ms (0.2%)

rewrite58.0ms (0.4%)

simplify37.0ms (0.2%)

prune106.0ms (0.7%)

regimes918.0ms (6.2%)

simplify2.0ms (0%)

end262.0ms (1.8%)

Profiling