Details

analyze1.4s (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)

sample11.8s (68.5%)

Results

3.6s	3987×	body	1024	valid
3.4s	4001×	body	1024	invalid
1.4s	2016×	body	512	valid
1.3s	2039×	body	512	invalid
860.0ms	532×	body	2048	valid
432.0ms	1019×	body	256	valid
401.0ms	1022×	body	256	invalid
262.0ms	702×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 116 to 92 computations (20.7% saved)

simplify48.0ms (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

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

61.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	61.5b	(.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

▶

61.5b

(*.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)

localize14.0ms (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)
✓	1.2b	(/.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))))
✓	5.0b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))

series49.0ms (0.3%)

Counts

4 → 48

Calls

4 calls:

31.0ms	(/.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))))
13.0ms	(-.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)

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
38×	`times-frac_binary64`
21×	`prod-diff_binary64`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/.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))))
6.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
5.0ms	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
3.0ms	(*.f64 (PI.f64) f)

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
588×	`times-frac_binary64`
366×	`fma-neg_binary64`
225×	`cancel-sign-sub-inv_binary64`
196×	`exp-prod_binary64`

Counts

207 → 258

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	312	8603
1	652	7401
2	1996	6651
3	4169	6609
4	4840	6609

prune307.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	346	4	350

Error

1.9b

Counts

350 → 4

Alt Table

Status	Error	Program
✓	61.5b	(.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)))
▶	2.7b	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	61.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 15973 to 10352 computations (35.2% saved)

localize10.0ms (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 f (PI.f64))
✓	0.3b	(/.f64 4 (*.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)))

series35.0ms (0.2%)

Counts

4 → 24

Calls

4 calls:

18.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
7.0ms	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))
7.0ms	(/.f64 4 (*.f64 f (PI.f64)))
2.0ms	(*.f64 f (PI.f64))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`

Counts

4 → 88

Calls

4 calls:

5.0ms	(.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
3.0ms	(/.f64 4 (*.f64 f (PI.f64)))
3.0ms	(*.f64 f (PI.f64))
0.0ms	(fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-def_binary64`
336×	`fma-neg_binary64`
319×	`associate-/r*_binary64`
281×	`associate-*l/_binary64`
280×	`associate-*r/_binary64`

Counts

112 → 172

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	2580
1	546	2310
2	1707	2301
3	4281	2293
4	4990	2293
5	4930	2293

prune169.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	195	8	203
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	196	11	207

Error

1.5b

Counts

207 → 11

Alt Table

Status	Error	Program
	61.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	2.7b	(.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
▶	2.6b	(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	2.6b	(.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	3.5b	(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64)))))) (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))))) (.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64))))
✓	61.5b	(.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)))
	2.9b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 3))
	62.6b	(log1p.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
	2.9b	(.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))))

Compiler

Compiled 5066 to 3033 computations (40.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series266.0ms (1.5%)

Counts

4 → 28

Calls

4 calls:

233.0ms	(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
29.0ms	(/.f64 (log.f64 f) (PI.f64))
4.0ms	(.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)
0.0ms	(log.f64 (/.f64 4 (PI.f64)))

rewrite97.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

457×	`times-frac_binary64`
315×	`*-un-lft-identity_binary64`
313×	`add-sqr-sqrt_binary64`
301×	`add-cube-cbrt_binary64`
256×	`prod-diff_binary64`

Counts

4 → 404

Calls

4 calls:

20.0ms	(-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
5.0ms	(.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)
3.0ms	(/.f64 (log.f64 f) (PI.f64))
2.0ms	(log.f64 (/.f64 4 (PI.f64)))

simplify374.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

421×	`associate-/l*_binary64`
343×	`fma-neg_binary64`
193×	`associate-/l/_binary64`
185×	`exp-prod_binary64`
179×	`associate-l_binary64`

Counts

432 → 358

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	439	14223
1	936	11573
2	2062	10749
3	4357	10748
4	4814	10748

prune414.0ms (2.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	352	6	358
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	356	13	369

Error

1.5b

Counts

369 → 13

Alt Table

Status	Error	Program
▶	2.6b	(fma.f64 4 (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
✓	61.5b	(.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)))
	61.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	3.5b	(fma.f64 4 (-.f64 (.f64 (.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (/.f64 (cbrt.f64 (log.f64 f)) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	2.6b	(fma.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (PI.f64) (.f64 (*.f64 f f) -1/12)))
	2.9b	(fma.f64 4 (-.f64 (cbrt.f64 (/.f64 (.f64 (.f64 (log.f64 f) (log.f64 f)) (log.f64 f)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	2.8b	(fma.f64 4 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3)) (+.f64 (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))) (.f64 (.f64 (PI.f64) (.f64 f f)) -1/12))
	62.6b	(log1p.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
	2.7b	(fma.f64 4 (/.f64 (.f64 (PI.f64) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
	2.6b	(.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))
	2.9b	(.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))))

Compiler

Compiled 18446 to 10243 computations (44.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12)
✓	0.3b	(-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))
✓	5.1b	(pow.f64 f (/.f64 1 (PI.f64)))

series529.0ms (3.1%)

Counts

2 → 24

Calls

2 calls:

499.0ms	(-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
30.0ms	(pow.f64 f (/.f64 1 (PI.f64)))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
70×	`times-frac_binary64`
69×	`add-cube-cbrt_binary64`
64×	`prod-diff_binary64`

Counts

2 → 137

Calls

2 calls:

9.0ms	(-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))
2.0ms	(pow.f64 f (/.f64 1 (PI.f64)))

simplify163.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
448×	`associate-*l/_binary64`
343×	`associate-/l*_binary64`
238×	`fma-neg_binary64`
179×	`exp-prod_binary64`

Counts

161 → 160

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	5261
1	587	4065
2	1360	2941
3	4435	2929
4	4983	2929
5	4760	2929

prune258.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	5	6	11
Picked	0	1	1
Done	0	1	1
Total	229	10	239

Error

1.5b

Counts

239 → 10

Alt Table

Status	Error	Program
✓	2.6b	(fma.f64 4 (-.f64 (log.f64 (pow.f64 f (/.f64 1 (PI.f64)))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
✓	61.5b	(.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)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (exp.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))))) (/.f64 -4 (PI.f64)))
	2.6b	(fma.f64 4 (+.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) 0) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64)))
	2.6b	(fma.f64 4 (-.f64 (log.f64 (pow.f64 (pow.f64 f (sqrt.f64 (/.f64 1 (PI.f64)))) (sqrt.f64 (/.f64 1 (PI.f64))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	62.6b	(log1p.f64 (expm1.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
	2.7b	(fma.f64 4 (/.f64 (.f64 (PI.f64) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (*.f64 f f)) -1/12))
	61.8b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (fma.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (sqrt.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (.f64 (log.f64 (fma.f64 (.f64 f (PI.f64)) 1/12 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1 (sqrt.f64 (PI.f64)))) (/.f64 -4 (sqrt.f64 (PI.f64))))

Compiler

Compiled 9174 to 5873 computations (36% saved)

regimes680.0ms (4%)

Accuracy

Total 0.8b remaining (31.1%)

Threshold costs 0.8b (31.1%)

Counts

100 → 1

Compiler

Compiled 18396 to 13232 computations (28.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	23	37
2	29	37
3	33	37
4	36	37
5	37	37
6	36	37

end188.0ms (1.1%)

Compiler: Compiled 304 to 224 computations (26.3% saved)

Details

analyze1.4s (8%)

sample11.8s (68.5%)

simplify48.0ms (0.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

series49.0ms (0.3%)

rewrite38.0ms (0.2%)

simplify205.0ms (1.2%)

prune307.0ms (1.8%)

localize10.0ms (0.1%)

series35.0ms (0.2%)

rewrite15.0ms (0.1%)

simplify112.0ms (0.7%)

prune169.0ms (1%)

localize13.0ms (0.1%)

series266.0ms (1.5%)

rewrite97.0ms (0.6%)

simplify374.0ms (2.2%)

prune414.0ms (2.4%)

localize18.0ms (0.1%)

series529.0ms (3.1%)

rewrite28.0ms (0.2%)

simplify163.0ms (0.9%)

prune258.0ms (1.5%)

regimes680.0ms (4%)

simplify3.0ms (0%)

end188.0ms (1.1%)

Profiling