Details

analyze2.6s (14%)

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)

sample5.4s (29.5%)

Results

1.5s	8041×	body	128	invalid
1.2s	1418×	body	4096	valid
835.0ms	800×	body	8192	valid
760.0ms	4326×	body	128	valid
604.0ms	877×	body	2048	valid
270.0ms	489×	body	1024	valid
106.0ms	230×	body	512	valid
33.0ms	116×	body	256	valid
7.0ms	8×	body	8192	exit

Compiler

Compiled 176 to 65 computations (63.1% saved)

simplify45.0ms (0.2%)

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

46.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	49.8b	(.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)))))
▶	46.8b	(.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)))))

Status

Error

Program

49.8b

(*.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)))))

▶

46.8b

(*.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)))))

Compiler

Compiled 321 to 130 computations (59.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	9.7b	(.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)))))
✓	10.8b	(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)))
✓	12.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
✓	20.0b	(+.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))))

series1.3s (7.1%)

Counts

4 → 276

Calls

4 calls:

507.0ms	(.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)))))
323.0ms	(+.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))))
278.0ms	(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)))
201.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

rewrite137.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-cbrt-cube_binary64`
82×	`add-exp-log_binary64`
43×	`cbrt-unprod_binary64`
43×	`prod-exp_binary64`
17×	`cbrt-undiv_binary64`

Counts

4 → 124

Calls

4 calls:

41.0ms	(.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)))))
34.0ms	(+.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))))
25.0ms	(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)))

simplify307.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

550×	`associate-/r*_binary64`
531×	`associate-/l*_binary64`
317×	`associate-*l/_binary64`
229×	`fma-def_binary64`
172×	`*-commutative_binary64`

Counts

400 → 312

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	537	24212
1	1649	21889
2	5007	21889

prune478.0ms (2.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	421	11	432
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	423	11	434

Error

23.2b

Counts

434 → 11

Alt Table

Status	Error	Program
	46.8b	(.f64 (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (cbrt.f64 (/.f64 c0 (.f64 2 w)))) (.f64 (cbrt.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))))))
	50.1b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0)) -1/2))))
	46.6b	(.f64 (/.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) 2) (.f64 (/.f64 (cbrt.f64 c0) 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))))))
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (-.f64 (+.f64 (log.f64 c0) (+.f64 (log.f64 d) (log.f64 d))) (log.f64 (.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)))))
	53.7b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
▶	42.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	58.9b	(.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)))))
	53.7b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	45.6b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (pow.f64 d 2)))
	53.7b	(fma.f64 (/.f64 (.f64 d d) (.f64 D D)) (/.f64 (.f64 c0 c0) (.f64 h (.f64 w w))) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d)) -1/4))
	55.8b	(.f64 (/.f64 (sqrt.f64 c0) 2) (.f64 (/.f64 (sqrt.f64 c0) 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))))))

Compiler

Compiled 30747 to 8017 computations (73.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
✓	7.0b	(*.f64 (pow.f64 d 2) c0)
✓	9.5b	(.f64 (pow.f64 D 2) (.f64 w h))
✓	12.6b	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (*.f64 w h)))

series520.0ms (2.8%)

Counts

4 → 60

Calls

4 calls:

308.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
183.0ms	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (*.f64 w h)))
20.0ms	(.f64 (pow.f64 D 2) (.f64 w h))
8.0ms	(*.f64 (pow.f64 d 2) c0)

rewrite89.0ms (0.5%)

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:

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

simplify202.0ms (1.1%)

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

prune357.0ms (1.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	235	15	250
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	243	18	261

Error

16.2b

Counts

261 → 18

Alt Table

Status	Error	Program
	60.8b	(.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) (+.f64 (log.f64 w) (log.f64 h)))))))
	54.0b	(.f64 (/.f64 (sqrt.f64 c0) 2) (.f64 (/.f64 (sqrt.f64 c0) w) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h))))))
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 (pow.f64 D 2) (*.f64 w h)))))
	61.8b	(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)) (+.f64 (log.f64 (pow.f64 D 2)) (log.f64 (*.f64 w h)))))))
	42.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) (pow.f64 D 2)) (/.f64 c0 (*.f64 w h)))))
	45.6b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (pow.f64 d 2)))
	53.7b	(fma.f64 (/.f64 (.f64 d d) (.f64 D D)) (/.f64 (.f64 c0 c0) (.f64 h (.f64 w w))) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d)) -1/4))
	57.1b	(exp.f64 (+.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (*.f64 w h)))) (log.f64 (/.f64 c0 w))))
▶	40.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (*.f64 w h))))))
	50.2b	(.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)))))))
	51.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 (sqrt.f64 D) 2) (.f64 D (*.f64 w h))))))
	42.8b	(.f64 (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (cbrt.f64 (/.f64 c0 (.f64 2 w)))) (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h))))))
	53.7b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
	42.7b	(/.f64 (.f64 (.f64 (.f64 d d) c0) (/.f64 c0 w)) (.f64 (pow.f64 D 2) (*.f64 w h)))
	43.7b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (*.f64 w h)))) (/.f64 c0 w)))
	58.6b	(.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)))))))
	42.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (/.f64 (.f64 d d) (.f64 D D)) c0) (*.f64 w h))))
	42.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (.f64 (pow.f64 D 2) w) h))))

Compiler

Compiled 8836 to 5127 computations (42% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.8b	(.f64 D (.f64 w h))
✓	6.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (*.f64 w h))))))
	7.0b	(*.f64 (pow.f64 d 2) c0)
✓	12.6b	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (.f64 w h))))

series488.0ms (2.7%)

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))))))
188.0ms	(/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 D (.f64 w h))))
10.0ms	(.f64 D (.f64 w h))

rewrite78.0ms (0.4%)

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:

15.0ms	(.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))))
4.0ms	(.f64 D (.f64 w h))

simplify191.0ms (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

prune266.0ms (1.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	221	7	228
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	227	19	246

Error

15.5b

Counts

246 → 19

Alt Table

Status	Error	Program
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 d (.f64 d c0)) (.f64 (pow.f64 D 2) (*.f64 w h)))))
	61.8b	(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)) (+.f64 (log.f64 (pow.f64 D 2)) (log.f64 (*.f64 w h)))))))
	42.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) (pow.f64 D 2)) (/.f64 c0 (*.f64 w h)))))
	45.6b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (pow.f64 d 2)))
	53.7b	(fma.f64 (/.f64 (.f64 d d) (.f64 D D)) (/.f64 (.f64 c0 c0) (.f64 h (.f64 w w))) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d)) -1/4))
	43.4b	(/.f64 (.f64 c0 (.f64 2 (.f64 (pow.f64 d 2) c0))) (.f64 (.f64 2 w) (.f64 D (.f64 D (.f64 w h)))))
	57.1b	(exp.f64 (+.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (*.f64 w h)))) (log.f64 (/.f64 c0 w))))
	42.8b	(.f64 (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (cbrt.f64 (/.f64 c0 (.f64 2 w)))) (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h))))))
▶	39.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 d 2) c0) D) (.f64 D (.f64 w h)))))
	53.7b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
	40.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (pow.f64 d 2) (/.f64 (.f64 D (.f64 D (.f64 w h))) c0))))
	40.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) D) (/.f64 c0 (.f64 D (.f64 w h))))))
	47.8b	(/.f64 (.f64 (.f64 d d) (.f64 c0 c0)) (.f64 (.f64 D D) (.f64 w (*.f64 w h))))
	43.7b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (*.f64 w h)))) (/.f64 c0 w)))
	58.6b	(.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)))))))
	53.5b	(.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))))))
	40.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 (*.f64 D w) h)))))
	42.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (.f64 (pow.f64 D 2) w) h))))
	50.2b	(.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)))))))

Compiler

Compiled 8545 to 4066 computations (52.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 d 2) c0) D) (.f64 D (.f64 w h)))))
✓	6.7b	(/.f64 (/.f64 (.f64 (pow.f64 d 2) c0) D) (.f64 D (*.f64 w h)))
✓	6.8b	(/.f64 (*.f64 (pow.f64 d 2) c0) D)
	7.0b	(*.f64 (pow.f64 d 2) c0)

series507.0ms (2.8%)

Counts

3 → 120

Calls

3 calls:

292.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) (*.f64 2 (/.f64 (/.f64 (*.f64 (pow.f64 d 2) c0) D) (*.f64 D (*.f64 w h)))))

190.0ms

(/.f64 (/.f64 (*.f64 (pow.f64 d 2) c0) D) (*.f64 D (*.f64 w h)))

24.0ms

(/.f64 (*.f64 (pow.f64 d 2) c0) D)

rewrite112.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

421×	`add-exp-log_binary64`
254×	`add-cbrt-cube_binary64`
215×	`prod-exp_binary64`
146×	`div-exp_binary64`
123×	`cbrt-unprod_binary64`

Counts

3 → 184

Calls

3 calls:

17.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) (*.f64 2 (/.f64 (/.f64 (*.f64 (pow.f64 d 2) c0) D) (*.f64 D (*.f64 w h)))))

11.0ms

(/.f64 (/.f64 (*.f64 (pow.f64 d 2) c0) D) (*.f64 D (*.f64 w h)))

4.0ms

(/.f64 (*.f64 (pow.f64 d 2) c0) D)

simplify233.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

351×	`associate-*r/_binary64`
330×	`times-frac_binary64`
327×	`associate-r_binary64`
311×	`associate-l_binary64`
304×	`associate-/r*_binary64`

Counts

304 → 228

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	10041
1	736	7248
2	2849	6951
3	4562	6951
4	4993	6951
5	5065	6951

prune366.0ms (2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	267	6	273
Fresh	7	11	18
Picked	1	0	1
Done	0	0	0
Total	275	17	292

Error

15.0b

Counts

292 → 17

Alt Table

Status	Error	Program
	42.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (pow.f64 d 2) (pow.f64 D 2)) (/.f64 c0 (*.f64 w h)))))
	45.6b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (pow.f64 d 2)))
	40.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (.f64 (/.f64 (/.f64 (pow.f64 d 2) (.f64 (cbrt.f64 D) (cbrt.f64 D))) D) (/.f64 (/.f64 c0 (cbrt.f64 D)) (.f64 w h)))))
	57.1b	(exp.f64 (+.f64 (fma.f64 2 (log.f64 (/.f64 d D)) (log.f64 (/.f64 c0 (*.f64 w h)))) (log.f64 (/.f64 c0 w))))
	42.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (.f64 (pow.f64 D 2) w) h))))
	38.8b	(/.f64 (.f64 c0 (.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 d 2) c0) D) (.f64 D (.f64 w h))))) (.f64 2 w))
	50.2b	(.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)))))))
	40.6b	(/.f64 (.f64 c0 (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) D))) (.f64 (.f64 2 w) (.f64 D (*.f64 w h))))
	53.7b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
	51.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 d d) c0) D))) (.f64 D (*.f64 w h)))))
	47.8b	(/.f64 (.f64 (.f64 d d) (.f64 c0 c0)) (.f64 (.f64 D D) (.f64 w (*.f64 w h))))
	43.7b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (*.f64 w h)))) (/.f64 c0 w)))
	40.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (/.f64 c0 D) (/.f64 (.f64 d d) D)) (.f64 w h))))
	61.8b	(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)) (+.f64 (log.f64 (pow.f64 D 2)) (log.f64 (*.f64 w h)))))))
	40.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 D (.f64 (*.f64 D w) h)))))
	37.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (/.f64 (.f64 d (.f64 d c0)) D) (.f64 D (*.f64 w h)))))
	42.8b	(.f64 (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (cbrt.f64 (/.f64 c0 (.f64 2 w)))) (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h))))))

Compiler

Compiled 9337 to 4495 computations (51.9% saved)

regimes4.3s (23.4%)

Accuracy

Total 13.6b remaining (47.8%)

Threshold costs 0b (0%)

Counts

143 → 4

Compiler

Compiled 63767 to 38008 computations (40.4% saved)

bsearch9.0ms (0%)

Compiler: Compiled 58 to 21 computations (63.8% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
4×	`+-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	53	335
1	78	335
2	84	335
3	88	335
4	90	335
5	90	335

end304.0ms (1.7%)

Compiler: Compiled 924 to 475 computations (48.6% saved)

Details

analyze2.6s (14%)

sample5.4s (29.5%)

simplify45.0ms (0.2%)

prune5.0ms (0%)

localize21.0ms (0.1%)

series1.3s (7.1%)

rewrite137.0ms (0.7%)

simplify307.0ms (1.7%)

prune478.0ms (2.6%)

localize13.0ms (0.1%)

series520.0ms (2.8%)

rewrite89.0ms (0.5%)

simplify202.0ms (1.1%)

prune357.0ms (1.9%)

localize13.0ms (0.1%)

series488.0ms (2.7%)

rewrite78.0ms (0.4%)

simplify191.0ms (1%)

prune266.0ms (1.4%)

localize17.0ms (0.1%)

series507.0ms (2.8%)

rewrite112.0ms (0.6%)

simplify233.0ms (1.3%)

prune366.0ms (2%)

regimes4.3s (23.4%)

bsearch9.0ms (0%)

simplify10.0ms (0.1%)

end304.0ms (1.7%)

Profiling