Details

analyze3.0s (14.9%)

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)

sample249.0ms (1.2%)

Algorithm

1×

intervals

Results

59.0ms	356×	body	128	nan
53.0ms	71×	body	4096	valid
41.0ms	38×	body	8192	valid
21.0ms	38×	body	2048	valid
12.0ms	124×	body	128	invalid
8.0ms	80×	body	128	valid
7.0ms	18×	body	1024	valid
2.0ms	7×	body	512	valid
1.0ms	3×	body	1024	invalid
1.0ms	2×	body	2048	invalid
1.0ms	4×	body	256	valid
1.0ms	2×	body	512	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify46.0ms (0.2%)

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

prune5.0ms (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

58.5b

Counts

2 → 2

Alt Table

Status	Error	Program
	61.2b	(.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)))))
▶	58.5b	(.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

61.2b

(*.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)))))

▶

58.5b

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.7b	(+.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))))

rewrite677.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

58.4b

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:

40.0ms	(+.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))))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
10.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10020 to 1186 computations (88.2% saved)

series493.0ms (2.4%)

Error

36.2b

Counts

4 → 78

Calls

4 calls:

213.0ms	(+.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))))
90.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
88.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
87.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7635 to 4252 computations (44.3% saved)

simplify194.0ms (1%)

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

prune96.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	202	7	209
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	203	8	211

Error

36.4b

Counts

211 → 8

Alt Table

Status	Error	Program
	62.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1 (+.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))))))
	61.2b	(.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)))))
	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)))))
	48.4b	(.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))))))
▶	46.3b	(.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))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.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))))) (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)))))
	59.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	50.6b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))

Compiler

Compiled 3601 to 1026 computations (71.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.8b	(.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))))
13.1b	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
13.7b	(.f64 (.f64 M M) (*.f64 w h))
15.8b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))

rewrite855.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

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:

27.0ms	(.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))))
17.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
11.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
6.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 17696 to 4067 computations (77% saved)

series306.0ms (1.5%)

Error

30.9b

Counts

4 → 57

Calls

4 calls:

117.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
100.0ms	(.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))))
48.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
27.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 3360 to 2463 computations (26.7% saved)

simplify386.0ms (1.9%)

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

prune138.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	408	7	415
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	409	14	423

Error

27.7b

Counts

423 → 14

Alt Table

Status	Error	Program
	62.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1 (+.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))))))
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (log.f64 (pow.f64 (exp.f64 (.f64 w (.f64 h (.f64 M M)))) (.f64 D D))) (.f64 (*.f64 d d) c0))))
	43.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 w (.f64 h (*.f64 M M))) c0))))
	61.2b	(.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)))))
▶	39.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 d d)))
	59.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	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)))))
	48.4b	(.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))))))
	46.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (exp.f64 (log.f64 (.f64 w (.f64 h (.f64 M M)))))) (.f64 (.f64 d d) c0))))
	39.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (.f64 (.f64 d d) c0))))
	42.4b	(.f64 (/.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) 2) (.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (.f64 (*.f64 d d) c0)) 1/2) (/.f64 (cbrt.f64 c0) w)))
	45.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (.f64 (.f64 d d) c0))))))
	50.6b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.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))))) (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 3523 to 1578 computations (55.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 d d)))
10.2b	(.f64 h (.f64 M M))
13.0b	(.f64 (.f64 D D) (.f64 h (.f64 M M)))
17.6b	(/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (*.f64 d d))

rewrite240.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

23.8b

Rules

176×	`add-cbrt-cube_binary64`
176×	`add-exp-log_binary64`
107×	`cbrt-unprod_binary64`
107×	`prod-exp_binary64`
32×	`pow1_binary64`

Counts

4 → 137

Calls

4 calls:

13.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 d d)))
13.0ms	(/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (*.f64 d d))
8.0ms	(.f64 (.f64 D D) (.f64 h (.f64 M M)))
4.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 3547 to 670 computations (81.1% saved)

series165.0ms (0.8%)

Error

27.7b

Counts

4 → 39

Calls

4 calls:

62.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 d d)))
54.0ms	(/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (*.f64 d d))
28.0ms	(.f64 (.f64 D D) (.f64 h (.f64 M M)))
12.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 1734 to 1346 computations (22.4% saved)

simplify176.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

656×	`*-commutative_binary64`
347×	`associate-/r/_binary64`
320×	`times-frac_binary64`
262×	`associate-/l/_binary64`
249×	`unswap-sqr_binary64`

Counts

176 → 136

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	4762
1	345	3271
2	1716	3271
3	3859	3233
4	5116	3233

prune62.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	130	20	150

Error

24.4b

Counts

150 → 20

Alt Table

Status	Error	Program
	62.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1 (+.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))))))
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (log.f64 (pow.f64 (exp.f64 (.f64 w (.f64 h (.f64 M M)))) (.f64 D D))) (.f64 (*.f64 d d) c0))))
	43.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 w (.f64 h (*.f64 M M))) c0))))
	61.2b	(.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)))))
	54.4b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
✓	39.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 d d)))
	59.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	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)))))
	48.4b	(.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))))))
	46.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (exp.f64 (log.f64 (.f64 w (.f64 h (.f64 M M)))))) (.f64 (.f64 d d) c0))))
	39.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (.f64 (.f64 d d) c0))))
	51.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (sqrt.f64 h)) (.f64 M (sqrt.f64 h)))) (*.f64 d d)))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.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))))) (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)))))
▶	35.4b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (*.f64 M M)) d)) d))
	35.7b	(.f64 1/4 (/.f64 (.f64 D D) (/.f64 d (/.f64 (.f64 h (.f64 M M)) d))))
	49.3b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 h (.f64 M M))) (.f64 2 (log.f64 (/.f64 D d))))))
	45.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (.f64 (.f64 d d) c0))))))
	49.3b	(exp.f64 (+.f64 (log.f64 (.f64 (.f64 h (.f64 M M)) 1/4)) (.f64 2 (log.f64 (/.f64 D d)))))
	51.5b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (sqrt.f64 h) (.f64 M (.f64 M (sqrt.f64 h))))) (*.f64 d d)))
	39.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 (cbrt.f64 h) (cbrt.f64 h)) (.f64 (.f64 M M) (cbrt.f64 h)))) (.f64 d d)))

Compiler

Compiled 1883 to 962 computations (48.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.9b	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d)) d)
7.2b	(/.f64 (.f64 h (.f64 M M)) d)
10.2b	(.f64 h (.f64 M M))
13.9b	(.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d))

rewrite214.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

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:

11.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d)) d)
10.0ms	(.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d))
5.0ms	(/.f64 (.f64 h (.f64 M M)) d)
4.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 2680 to 626 computations (76.6% saved)

series148.0ms (0.7%)

Error

24.4b

Counts

4 → 39

Calls

4 calls:

55.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d)) d)
45.0ms	(.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d))
24.0ms	(/.f64 (.f64 h (.f64 M M)) d)
13.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 1734 to 1307 computations (24.6% saved)

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

490×	`*-commutative_binary64`
212×	`associate-/l*_binary64`
207×	`unswap-sqr_binary64`
204×	`log-prod_binary64`
193×	`sub-neg_binary64`

Counts

153 → 115

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	162	3208
1	380	2392
2	1747	2392
3	2941	2378
4	4665	2369
5	4977	2369
6	4948	2369

prune71.0ms (0.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	104	11	115
Fresh	5	13	18
Picked	1	0	1
Done	1	0	1
Total	111	24	135

Error

22.3b

Counts

135 → 24

Alt Table

Status	Error	Program
	62.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1 (+.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))))))
	36.5b	(.f64 1/4 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) d)) (cbrt.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) d))) (cbrt.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (*.f64 M M))) d))) d))
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (log.f64 (pow.f64 (exp.f64 (.f64 w (.f64 h (.f64 M M)))) (.f64 D D))) (.f64 (*.f64 d d) c0))))
	43.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 w (.f64 h (*.f64 M M))) c0))))
	61.2b	(.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)))))
	54.4b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
	34.9b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 h (.f64 M M)) d) (/.f64 (.f64 D D) (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d)))
	49.3b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 h (.f64 M M))) (.f64 2 (log.f64 (/.f64 D d))))))
	35.7b	(.f64 1/4 (/.f64 (.f64 D D) (.f64 d (/.f64 d (.f64 h (*.f64 M M))))))
	59.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	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)))))
	36.5b	(.f64 1/4 (/.f64 1 (/.f64 d (/.f64 (.f64 (.f64 D D) (.f64 h (*.f64 M M))) d))))
	45.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (.f64 (.f64 d d) c0))))))
	49.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (sqrt.f64 h)) (.f64 M (sqrt.f64 h))) d)) d))
	42.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (exp.f64 (log.f64 (.f64 h (*.f64 M M)))) d)) d))
	51.5b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (sqrt.f64 h) (.f64 M (.f64 M (sqrt.f64 h))))) (*.f64 d d)))
	39.6b	(.f64 1/4 (/.f64 (.f64 (.f64 D (.f64 D (sqrt.f64 (/.f64 (.f64 h (.f64 M M)) d)))) (sqrt.f64 (/.f64 (.f64 h (.f64 M M)) d))) d))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.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))))) (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)))))
	37.6b	(.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (*.f64 M M))) d) 3)) d))
	49.7b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (.f64 2 (log.f64 (*.f64 D M))) (log.f64 (/.f64 h d)))) d))
	39.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (.f64 (.f64 d d) c0))))
	34.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d))) d))
	34.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (/.f64 (*.f64 M M) d))) d))
	49.3b	(exp.f64 (+.f64 (log.f64 (.f64 (.f64 h (.f64 M M)) 1/4)) (.f64 2 (log.f64 (/.f64 D d)))))

Compiler

Compiled 1458 to 674 computations (53.8% saved)

regimes5.0s (24.8%)

Accuracy

Total 7.0b remaining (25.3%)

Threshold costs 0b (0%)

Compiler

Compiled 122490 to 65664 computations (46.4% saved)

bsearch252.0ms (1.2%)

Steps

Iters	Range		Point
9	1.3532224338996023e+116	4.2966474794197236e+125	4.1923584058765576e+125
3	-1.701652317294068e+131	-4.520085506816603e+127	-6.359698016561584e+130

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	81
1	49	81
2	49	81

end4.0ms (0%)

Compiler: Compiled 60 to 39 computations (35% saved)

sample7.2s (35.6%)

Algorithm

1×

intervals

Results

1.3s	2114×	body	4096	valid
1.3s	11640×	body	128	nan
957.0ms	1166×	body	8192	valid
786.0ms	1321×	body	2048	valid
454.0ms	3957×	body	128	invalid
270.0ms	600×	body	1024	valid
269.0ms	2384×	body	128	valid
90.0ms	272×	body	512	valid
34.0ms	143×	body	256	valid
33.0ms	57×	body	2048	invalid
24.0ms	58×	body	1024	invalid
11.0ms	37×	body	512	invalid
7.0ms	11×	body	4096	invalid
3.0ms	4×	body	8192	exit
3.0ms	16×	body	256	invalid

Compiler

Compiled 917 to 526 computations (42.6% saved)

Details

analyze3.0s (14.9%)

sample249.0ms (1.2%)

simplify46.0ms (0.2%)

prune5.0ms (0%)

localize22.0ms (0.1%)

rewrite677.0ms (3.3%)

series493.0ms (2.4%)

simplify194.0ms (1%)

prune96.0ms (0.5%)

localize17.0ms (0.1%)

rewrite855.0ms (4.2%)

series306.0ms (1.5%)

simplify386.0ms (1.9%)

prune138.0ms (0.7%)

localize12.0ms (0.1%)

rewrite240.0ms (1.2%)

series165.0ms (0.8%)

simplify176.0ms (0.9%)

prune62.0ms (0.3%)

localize10.0ms (0.1%)

rewrite214.0ms (1.1%)

series148.0ms (0.7%)

simplify160.0ms (0.8%)

prune71.0ms (0.4%)

regimes5.0s (24.8%)

bsearch252.0ms (1.2%)

simplify4.0ms (0%)

end4.0ms (0%)

sample7.2s (35.6%)

Profiling