Details

analyze2.3s (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0.1%	98.1%	1.9%	14

Compiler

Compiled 59 to 22 computations (62.7% saved)

sample5.2s (32.1%)

Infinites

33.7% of outputs are infinite.

Results

1.4s	8247×	body	128	invalid
1.1s	1420×	body	4096	valid
803.0ms	801×	body	8192	valid
759.0ms	4344×	body	128	valid
646.0ms	942×	body	2048	valid
219.0ms	409×	body	1024	valid
89.0ms	219×	body	512	valid
35.0ms	121×	body	256	valid
7.0ms	7×	body	8192	exit

Compiler

Compiled 176 to 65 computations (63.1% saved)

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
518×	`distribute-neg-frac_binary64`
416×	`fma-def_binary64`
304×	`associate-/l*_binary64`
217×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	64	74
2	296	74
3	3103	67
4	4218	67
5	5365	67

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

47.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	47.7b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (.f64 w h)))) (.f64 M M)))))

Status

Error

Program

▶

47.7b

(*.f64 (/.f64 c0 (*.f64 2 w)) (+.f64 (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D))) (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D))) (/.f64 (*.f64 c0 (*.f64 d d)) (*.f64 (*.f64 w h) (*.f64 D D)))) (*.f64 M M)))))

49.7b

(*.f64 (/.f64 c0 (*.f64 2 w)) (fma.f64 (*.f64 d d) (/.f64 c0 (*.f64 (*.f64 w h) (*.f64 D D))) (sqrt.f64 (-.f64 (*.f64 (/.f64 c0 (*.f64 w h)) (*.f64 (*.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (*.f64 w h)))) (*.f64 M M)))))

Compiler

Compiled 321 to 130 computations (59.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	11.5b	(sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))
✓	12.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
✓	12.6b	(.f64 (.f64 w h) (*.f64 D D))
✓	18.8b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

series784.0ms (4.8%)

Counts

4 → 240

Calls

4 calls:

301.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
283.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))
179.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
20.0ms	(.f64 (.f64 w h) (*.f64 D D))

rewrite98.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`add-cbrt-cube_binary64`
85×	`add-exp-log_binary64`
47×	`cbrt-unprod_binary64`
47×	`prod-exp_binary64`
17×	`pow1_binary64`

Counts

4 → 108

Calls

4 calls:

39.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
26.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
5.0ms	(.f64 (.f64 w h) (*.f64 D D))

simplify250.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

845×	`times-frac_binary64`
433×	`fma-neg_binary64`
365×	`associate-/l*_binary64`
362×	`associate-/r*_binary64`
140×	`associate-*l/_binary64`

Counts

348 → 233

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	379	15401
1	1066	14410
2	4782	14410
3	5131	14410

prune564.0ms (3.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	410	7	417
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	411	8	419

Error

24.0b

Counts

419 → 8

Alt Table

Status	Error	Program
	47.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 (.f64 w h) D) D)) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	47.9b	(.f64 (/.f64 c0 (.f64 2 w)) (expm1.f64 (log1p.f64 (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))))
	48.4b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M))))) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (.f64 w h)))) (.f64 M M)))))
	46.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (pow.f64 D 2) (.f64 w (.f64 h (pow.f64 M 2)))) (*.f64 (pow.f64 d 2) c0))))
▶	42.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	59.4b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	54.2b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (pow.f64 M 2))))

Compiler

Compiled 27707 to 6369 computations (77% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
✓	8.0b	(*.f64 (pow.f64 d 2) c0)
✓	12.3b	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (*.f64 w h)))
✓	12.6b	(.f64 (pow.f64 D 2) (.f64 w h))

series497.0ms (3.1%)

Counts

4 → 60

Calls

4 calls:

282.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
185.0ms	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (*.f64 w h)))
21.0ms	(.f64 (pow.f64 D 2) (.f64 w h))
8.0ms	(*.f64 (pow.f64 d 2) c0)

rewrite96.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

687×	`add-exp-log_binary64`
447×	`prod-exp_binary64`
172×	`div-exp_binary64`
170×	`add-cbrt-cube_binary64`
93×	`cbrt-unprod_binary64`

Counts

4 → 242

Calls

4 calls:

18.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
9.0ms	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (*.f64 w h)))
5.0ms	(.f64 (pow.f64 D 2) (.f64 w h))
4.0ms	(*.f64 (pow.f64 d 2) c0)

simplify198.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-/l/_binary64`
413×	`times-frac_binary64`
370×	`associate-r_binary64`
342×	`associate-l_binary64`
293×	`log-div_binary64`

Counts

302 → 250

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	296	9475
1	647	7169
2	2884	6782
3	4747	6604
4	5158	6604

prune302.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	236	14	250
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	242	16	258

Error

15.4b

Counts

258 → 16

Alt Table

Status	Error	Program
	39.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 (pow.f64 D 2) (*.f64 w h)))))
	42.0b	(/.f64 (.f64 c0 (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h))))) (.f64 2 w))
	55.2b	(exp.f64 (+.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (*.f64 w h)))) (log.f64 (/.f64 c0 w))))
	39.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 d) (cbrt.f64 d)) 2) (.f64 (pow.f64 (cbrt.f64 d) 2) c0)) (.f64 (pow.f64 D 2) (.f64 w h)))))
	57.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (exp.f64 (+.f64 (.f64 (log.f64 d) 2) (log.f64 c0))) (.f64 (pow.f64 D 2) (.f64 w h)))))
	46.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (pow.f64 D 2) (.f64 w (.f64 h (pow.f64 M 2)))) (*.f64 (pow.f64 d 2) c0))))
	42.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) (pow.f64 D 2)) (/.f64 c0 (*.f64 w h)))))
	42.2b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (*.f64 w h)))) (/.f64 c0 w)))
	60.5b	(exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 2 w))) (+.f64 (log.f64 2) (-.f64 (log.f64 (.f64 (pow.f64 d 2) c0)) (+.f64 (*.f64 (log.f64 D) 2) (+.f64 (log.f64 w) (log.f64 h)))))))
	57.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 d 2)) (log.f64 c0)) (+.f64 (.f64 (log.f64 D) 2) (log.f64 (*.f64 w h)))))))
	60.9b	(exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 2 w))) (+.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 d) 2) (log.f64 c0)) (log.f64 (.f64 (pow.f64 D 2) (.f64 w h)))))))
	48.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (.f64 w h)))))))
	42.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (.f64 (pow.f64 D 2) w) h))))
	54.2b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (pow.f64 M 2))))
▶	38.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (*.f64 w h))))))
	57.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 d 2) c0)) (+.f64 (.f64 (log.f64 D) 2) (log.f64 (.f64 w h)))))))

Compiler

Compiled 8724 to 5071 computations (41.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (*.f64 w h))))))
✓	6.2b	(.f64 D (.f64 w h))
	8.0b	(*.f64 (pow.f64 d 2) c0)
✓	12.3b	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (.f64 w h))))

series480.0ms (3%)

Counts

3 → 120

Calls

3 calls:

289.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (*.f64 w h))))))
182.0ms	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (.f64 w h))))
9.0ms	(.f64 D (.f64 w h))

rewrite73.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

429×	`add-exp-log_binary64`
270×	`prod-exp_binary64`
229×	`add-cbrt-cube_binary64`
134×	`cbrt-unprod_binary64`
100×	`div-exp_binary64`

Counts

3 → 166

Calls

3 calls:

14.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (*.f64 w h))))))
7.0ms	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (.f64 w h))))
5.0ms	(.f64 D (.f64 w h))

simplify182.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/r/_binary64`
510×	`times-frac_binary64`
446×	`associate-r_binary64`
377×	`associate-l_binary64`
325×	`associate-*r/_binary64`

Counts

286 → 183

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	9381
1	661	6825
2	2959	6528
3	4708	6528
4	5154	6528

prune270.0ms (1.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	220	8	228
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	226	18	244

Error

13.9b

Counts

244 → 18

Alt Table

Status	Error	Program
▶	34.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 D (.f64 w h))))))
	38.6b	(/.f64 (.f64 c0 (.f64 2 (.f64 (pow.f64 d 2) c0))) (.f64 (.f64 2 w) (.f64 D (.f64 D (.f64 w h)))))
	38.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) D) (/.f64 c0 (.f64 D (.f64 w h))))))
	39.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 (pow.f64 D 2) (*.f64 w h)))))
	42.0b	(/.f64 (.f64 c0 (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h))))) (.f64 2 w))
	59.9b	(exp.f64 (+.f64 (-.f64 (log.f64 c0) (log.f64 (.f64 2 w))) (+.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 d) 2) (log.f64 c0)) (log.f64 (.f64 D (.f64 D (*.f64 w h))))))))
	55.2b	(exp.f64 (+.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (*.f64 w h)))) (log.f64 (/.f64 c0 w))))
	39.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 d) (cbrt.f64 d)) 2) (.f64 (pow.f64 (cbrt.f64 d) 2) c0)) (.f64 (pow.f64 D 2) (.f64 w h)))))
	46.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (pow.f64 D 2) (.f64 w (.f64 h (pow.f64 M 2)))) (*.f64 (pow.f64 d 2) c0))))
	42.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) (pow.f64 D 2)) (/.f64 c0 (*.f64 w h)))))
	42.2b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (*.f64 w h)))) (/.f64 c0 w)))
	38.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 (*.f64 D w) h)))))
	48.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (.f64 w h)))))))
	57.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 d 2) c0)) (+.f64 (.f64 (log.f64 D) 2) (log.f64 (.f64 w h)))))))
	50.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (exp.f64 (log.f64 (.f64 (pow.f64 d 2) c0))) (.f64 D (.f64 D (*.f64 w h))))))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 d 2) c0)) (+.f64 (log.f64 D) (+.f64 (log.f64 D) (+.f64 (log.f64 w) (log.f64 h))))))))
	54.2b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (pow.f64 M 2))))
	38.3b	(/.f64 (.f64 (.f64 (.f64 d d) c0) (/.f64 c0 w)) (.f64 D (.f64 D (.f64 w h))))

Compiler

Compiled 8487 to 4030 computations (52.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 D (.f64 D (*.f64 w h)))
✓	5.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 D (.f64 w h))))))
	6.2b	(.f64 D (.f64 w h))
✓	12.3b	(/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 D (*.f64 w h))))

series475.0ms (2.9%)

Counts

3 → 156

Calls

3 calls:

273.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 D (.f64 w h))))))
181.0ms	(/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 D (*.f64 w h))))
20.0ms	(.f64 D (.f64 D (*.f64 w h)))

rewrite79.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

357×	`add-cbrt-cube_binary64`
357×	`add-exp-log_binary64`
221×	`cbrt-unprod_binary64`
221×	`prod-exp_binary64`
76×	`cbrt-undiv_binary64`

Counts

3 → 169

Calls

3 calls:

15.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 D (.f64 w h))))))
8.0ms	(/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 D (*.f64 w h))))
5.0ms	(.f64 D (.f64 D (*.f64 w h)))

simplify229.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

897×	`times-frac_binary64`
457×	`associate-l_binary64`
449×	`associate-/r*_binary64`
443×	`associate-*r/_binary64`
338×	`associate-/l*_binary64`

Counts

325 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	287	10767
1	785	7296
2	3310	6999
3	4130	6997
4	4943	6997
5	4997	6997

prune224.0ms (1.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	225	4	229
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	233	14	247

Error

13.1b

Counts

247 → 14

Alt Table

Status	Error	Program
	42.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) (pow.f64 D 2)) (/.f64 c0 (*.f64 w h)))))
	42.2b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (*.f64 w h)))) (/.f64 c0 w)))
	30.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 d (/.f64 D (/.f64 (.f64 d c0) (.f64 D (.f64 w h)))))))
	54.2b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (pow.f64 M 2))))
	57.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 d 2) c0)) (+.f64 (.f64 (log.f64 D) 2) (log.f64 (.f64 w h)))))))
	50.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (exp.f64 (log.f64 (.f64 (pow.f64 d 2) c0))) (.f64 D (.f64 D (*.f64 w h))))))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 d 2) c0)) (+.f64 (log.f64 D) (+.f64 (log.f64 D) (+.f64 (log.f64 w) (log.f64 h))))))))
	34.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 D (.f64 (.f64 D w) h)))))
	42.0b	(/.f64 (.f64 c0 (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h))))) (.f64 2 w))
	46.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (pow.f64 D 2) (.f64 w (.f64 h (pow.f64 M 2)))) (*.f64 (pow.f64 d 2) c0))))
	48.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (exp.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (.f64 w h)))))))
	34.2b	(/.f64 (.f64 c0 (.f64 2 (.f64 d (.f64 d c0)))) (.f64 (.f64 2 w) (.f64 D (.f64 D (*.f64 w h)))))
	31.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 d D) (/.f64 (.f64 d c0) (.f64 D (*.f64 w h))))))
	38.3b	(/.f64 (.f64 (.f64 (.f64 d d) c0) (/.f64 c0 w)) (.f64 D (.f64 D (.f64 w h))))

Compiler

Compiled 8502 to 2644 computations (68.9% saved)

regimes3.3s (20.1%)

Accuracy

Total 16.9b remaining (48.5%)

Threshold costs 0b (0%)

Counts

141 → 5

Compiler

Compiled 63438 to 36012 computations (43.2% saved)

bsearch298.0ms (1.8%)

Steps

Iters	Range		Point
5	3.2950387030577687e-287	8.109756700138931e-287	5.887206475242185e-287
7	-4.8394072813709695e-307	3.057548233855582e-308	-1.917101077054597e-308
9	-3.15662258402905e-147	-5.695246543330099e-156	-9.618862001490325e-152
9	-1.741917988031105e-136	-2.2534137439767057e-141	-1.1426100242627277e-140

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	142
1	72	142
2	74	142
3	75	142
4	75	142

end224.0ms (1.4%)

Compiler: Compiled 580 to 396 computations (31.7% saved)

Details

analyze2.3s (14.3%)

sample5.2s (32.1%)

simplify44.0ms (0.3%)

prune5.0ms (0%)

localize21.0ms (0.1%)

series784.0ms (4.8%)

rewrite98.0ms (0.6%)

simplify250.0ms (1.5%)

prune564.0ms (3.5%)

localize14.0ms (0.1%)

series497.0ms (3.1%)

rewrite96.0ms (0.6%)

simplify198.0ms (1.2%)

prune302.0ms (1.9%)

localize15.0ms (0.1%)

series480.0ms (3%)

rewrite73.0ms (0.5%)

simplify182.0ms (1.1%)

prune270.0ms (1.7%)

localize12.0ms (0.1%)

series475.0ms (2.9%)

rewrite79.0ms (0.5%)

simplify229.0ms (1.4%)

prune224.0ms (1.4%)

regimes3.3s (20.1%)

bsearch298.0ms (1.8%)

simplify5.0ms (0%)

end224.0ms (1.4%)

Profiling