Details

analyze5.1s (19.4%)

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%	98.1%	1.9%	14

Compiler

Compiled 59 to 22 computations (62.7% saved)

sample450.0ms (1.7%)

Algorithm

1×

intervals

Results

107.0ms	67×	body	4096	valid
76.0ms	389×	body	128	nan
65.0ms	37×	body	8192	valid
54.0ms	54×	body	2048	valid
23.0ms	123×	body	128	invalid
19.0ms	22×	body	1024	valid
12.0ms	65×	body	128	valid
5.0ms	6×	body	512	valid
4.0ms	4×	body	2048	invalid
4.0ms	3×	body	4096	invalid
2.0ms	5×	body	256	valid
2.0ms	3×	body	512	invalid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	63	78
2	290	78
3	3039	69
4	3619	69
5	5019	69

prune8.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

61.3b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	61.4b	(.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)))))
	62.8b	(.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 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

▶

61.4b

(*.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)))))

62.8b

(*.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 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 272 to 123 computations (54.8% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.3b	(+.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))))

rewrite1.1s (4.1%)

Algorithm

1×	rewrite-expression-head

Error

61.0b

Rules

211×	`add-cbrt-cube_binary64`
211×	`add-exp-log_binary64`
117×	`cbrt-unprod_binary64`
117×	`prod-exp_binary64`
45×	`cbrt-undiv_binary64`

Counts

4 → 143

Calls

4 calls:

78.0ms	(+.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))))
24.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
22.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10020 to 1186 computations (88.2% saved)

series919.0ms (3.5%)

Error

36.9b

Counts

4 → 78

Calls

4 calls:

381.0ms	(+.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))))
170.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
169.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
166.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7635 to 4252 computations (44.3% saved)

simplify353.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

540×	`times-frac_binary64`
260×	`associate-l_binary64`
219×	`associate-r_binary64`
215×	`cancel-sign-sub-inv_binary64`
196×	`associate-/l*_binary64`

Counts

221 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	6172
1	482	5688
2	2845	5607
3	4772	5559
4	5037	5559

prune206.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	202	9	211

Error

37.8b

Counts

211 → 9

Alt Table

Status	Error	Program
	62.8b	(.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 c0 (.f64 w h)) (.f64 (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (.f64 w h)))) (*.f64 M M)))))
	61.4b	(.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 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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)))))
	49.0b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M))))))
▶	44.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	53.0b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	61.4b	(.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 1 (.f64 (.f64 D D) (.f64 w h)))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))))
	61.4b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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 3733 to 1062 computations (71.6% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
12.1b	(.f64 (.f64 M M) (*.f64 w h))
14.6b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
16.1b	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))

rewrite1.7s (6.5%)

Algorithm

1×	rewrite-expression-head

Error

28.0b

Rules

1143×	`add-cbrt-cube_binary64`
1143×	`add-exp-log_binary64`
785×	`cbrt-unprod_binary64`
785×	`prod-exp_binary64`
202×	`cbrt-undiv_binary64`

Counts

4 → 372

Calls

4 calls:

48.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
30.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
19.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
11.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 17696 to 4067 computations (77% saved)

series620.0ms (2.4%)

Error

28.6b

Counts

4 → 57

Calls

4 calls:

245.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
194.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
98.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
51.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 3360 to 2463 computations (26.7% saved)

simplify702.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

865×	`times-frac_binary64`
548×	`associate-l_binary64`
379×	`associate-/r*_binary64`
350×	`associate-/l*_binary64`
340×	`associate-*r/_binary64`

Counts

429 → 415

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	539	22602
1	751	14871
2	4828	14871
3	5181	14871

prune269.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	410	5	415
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	411	13	424

Error

25.6b

Counts

424 → 13

Alt Table

Status	Error	Program
▶	33.6b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))
	40.5b	(/.f64 (.f64 c0 (.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) 1/2)) (.f64 (.f64 (.f64 d d) c0) (*.f64 2 w)))
	62.8b	(.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 c0 (.f64 w h)) (.f64 (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (.f64 w h)))) (*.f64 M M)))))
	61.4b	(.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 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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)))))
	40.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 D (.f64 D (.f64 w (.f64 (.f64 M M) h)))) (.f64 (.f64 d d) c0))))
	40.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 w (.f64 (*.f64 M M) h)) c0))))
✓	44.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	53.0b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	61.4b	(.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 1 (.f64 (.f64 D D) (.f64 w h)))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))))
	33.7b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0))))
	61.4b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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 3428 to 1476 computations (56.9% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.7b	(.f64 (.f64 M M) h)
13.1b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
14.6b	(.f64 (.f64 D D) (.f64 (.f64 M M) h))

rewrite291.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

19.9b

Rules

94×	`add-cbrt-cube_binary64`
94×	`add-exp-log_binary64`
55×	`cbrt-unprod_binary64`
55×	`prod-exp_binary64`
29×	`pow1_binary64`

Counts

3 → 88

Calls

3 calls:

21.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
14.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) h))
9.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 2092 to 424 computations (79.7% saved)

series195.0ms (0.7%)

Error

25.6b

Counts

3 → 27

Calls

3 calls:

102.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
53.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) h))
22.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 1230 to 938 computations (23.7% saved)

simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-*l/_binary64`
527×	`associate-*r/_binary64`
494×	`*-commutative_binary64`
304×	`times-frac_binary64`
246×	`associate-/l/_binary64`

Counts

115 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	2649
1	284	1830
2	1480	1830
3	4708	1808
4	5010	1808

prune62.0ms (0.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	78	15	93

Error

21.4b

Counts

93 → 15

Alt Table

Status	Error	Program
	31.0b	(.f64 1/4 (/.f64 (.f64 D D) (/.f64 d (/.f64 (.f64 (.f64 M M) h) d))))
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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)))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	53.4b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
	48.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
	33.7b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0))))
	62.8b	(.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 c0 (.f64 w h)) (.f64 (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (.f64 w h)))) (*.f64 M M)))))
	61.4b	(.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 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	40.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 D (.f64 D (.f64 w (.f64 (.f64 M M) h)))) (.f64 (.f64 d d) c0))))
✓	44.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
	45.8b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 M M) h)) (.f64 2 (log.f64 (/.f64 D d))))))
▶	30.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) d)) d))
	61.4b	(.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 1 (.f64 (.f64 D D) (.f64 w h)))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))))
✓	33.6b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))
	61.4b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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 1261 to 646 computations (48.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
7.2b	(/.f64 (.f64 (.f64 M M) h) d)
7.7b	(.f64 (.f64 M M) h)
12.5b	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))

rewrite412.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

18.1b

Rules

92×	`add-cbrt-cube_binary64`
92×	`add-exp-log_binary64`
42×	`cbrt-unprod_binary64`
42×	`prod-exp_binary64`
24×	`cbrt-undiv_binary64`

Counts

4 → 114

Calls

4 calls:

18.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
16.0ms	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))
12.0ms	(/.f64 (.f64 (.f64 M M) h) d)
8.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 2697 to 634 computations (76.5% saved)

series283.0ms (1.1%)

Error

21.3b

Counts

4 → 39

Calls

4 calls:

103.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
92.0ms	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))
50.0ms	(/.f64 (.f64 (.f64 M M) h) d)
23.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 1734 to 1307 computations (24.6% saved)

simplify241.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

516×	`*-commutative_binary64`
274×	`unswap-sqr_binary64`
235×	`associate-/l*_binary64`
225×	`log-prod_binary64`
221×	`associate-l_binary64`

Counts

153 → 114

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	164	3216
1	390	2400
2	1901	2400
3	3169	2386
4	4720	2377
5	4984	2377
6	4963	2377

prune124.0ms (0.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	1	11	12
Picked	1	0	1
Done	1	1	2
Total	108	21	129

Error

18.7b

Counts

129 → 21

Alt Table

Status	Error	Program
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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)))))
	30.4b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 (.f64 D D) (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d)))
	48.1b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 h d)) (.f64 2 (log.f64 (*.f64 D M))))) d))
	40.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 D (.f64 D (.f64 w (.f64 (.f64 M M) h)))) (.f64 (.f64 d d) c0))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	53.4b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
	48.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
	33.7b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0))))
	62.8b	(.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 c0 (.f64 w h)) (.f64 (.f64 (/.f64 d D) (pow.f64 (/.f64 d D) 3)) (/.f64 c0 (.f64 w h)))) (*.f64 M M)))))
	61.4b	(.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 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	33.9b	(.f64 1/4 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) (.f64 d d))))
	31.8b	(.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) h)) d) 3)) d))
	61.4b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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)))))
	30.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) (/.f64 h d))) d))
	30.5b	(.f64 1/4 (/.f64 1 (/.f64 d (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) h)) d))))
	45.8b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 M M) h)) (.f64 2 (log.f64 (/.f64 D d))))))
	34.2b	(.f64 1/4 (/.f64 (.f64 (.f64 D (.f64 D (sqrt.f64 (/.f64 (.f64 (.f64 M M) h) d)))) (sqrt.f64 (/.f64 (.f64 (.f64 M M) h) d))) d))
	31.0b	(.f64 1/4 (/.f64 (.f64 D D) (.f64 d (/.f64 d (.f64 (*.f64 M M) h)))))
	61.4b	(.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 1 (.f64 (.f64 D D) (.f64 w h)))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (.f64 M M)))))
	41.4b	(.f64 1/4 (.f64 (/.f64 (.f64 D D) (sqrt.f64 d)) (/.f64 M (/.f64 (pow.f64 d 3/2) (.f64 M h)))))
	33.6b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))

Compiler

Compiled 1337 to 596 computations (55.4% saved)

regimes5.1s (19.5%)

Accuracy

Total 7.0b remaining (26%)

Threshold costs 0b (0%)

Compiler

Compiled 139312 to 65616 computations (52.9% saved)

bsearch18.0ms (0.1%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	58
1	34	58
2	34	58

end1.0ms (0%)

Compiler: Compiled 45 to 28 computations (37.8% saved)

sample7.7s (29.5%)

Algorithm

1×

intervals

Results

1.6s	2176×	body	4096	valid
1.4s	11827×	body	128	nan
1.0s	1175×	body	8192	valid
736.0ms	1287×	body	2048	valid
467.0ms	4022×	body	128	invalid
295.0ms	655×	body	1024	valid
256.0ms	2286×	body	128	valid
93.0ms	285×	body	512	valid
29.0ms	54×	body	2048	invalid
29.0ms	59×	body	1024	invalid
29.0ms	136×	body	256	valid
12.0ms	39×	body	512	invalid
9.0ms	14×	body	4096	invalid
6.0ms	7×	body	8192	exit
5.0ms	24×	body	256	invalid

Compiler

Compiled 822 to 452 computations (45% saved)

Details

analyze5.1s (19.4%)

sample450.0ms (1.7%)

simplify75.0ms (0.3%)

prune8.0ms (0%)

localize44.0ms (0.2%)

rewrite1.1s (4.1%)

series919.0ms (3.5%)

simplify353.0ms (1.3%)

prune206.0ms (0.8%)

localize36.0ms (0.1%)

rewrite1.7s (6.5%)

series620.0ms (2.4%)

simplify702.0ms (2.7%)

prune269.0ms (1%)

localize22.0ms (0.1%)

rewrite291.0ms (1.1%)

series195.0ms (0.7%)

simplify160.0ms (0.6%)

prune62.0ms (0.2%)

localize20.0ms (0.1%)

rewrite412.0ms (1.6%)

series283.0ms (1.1%)

simplify241.0ms (0.9%)

prune124.0ms (0.5%)

regimes5.1s (19.5%)

bsearch18.0ms (0.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample7.7s (29.5%)

Profiling