Details

analyze2.5s (12.6%)

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)

sample227.0ms (1.1%)

Algorithm

1×

intervals

Results

60.0ms	71×	body	4096	valid
39.0ms	379×	body	128	nan
26.0ms	36×	body	8192	valid
24.0ms	41×	body	2048	valid
12.0ms	128×	body	128	invalid
8.0ms	22×	body	1024	valid
7.0ms	72×	body	128	valid
3.0ms	10×	body	512	valid
1.0ms	3×	body	512	invalid
1.0ms	4×	body	256	valid
1.0ms	2×	body	1024	invalid
1.0ms	1×	body	4096	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify45.0ms (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

prune4.0ms (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

58.8b

Counts

2 → 2

Alt Table

Status	Error	Program
	60.8b	(.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)))))
▶	58.9b	(.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

60.8b

(*.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)))))

▶

58.9b

(*.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)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.4b	(+.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))))

rewrite496.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

58.8b

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:

37.0ms	(+.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))))
14.0ms	(/.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)))
10.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10020 to 1186 computations (88.2% saved)

series378.0ms (1.9%)

Error

35.2b

Counts

4 → 71

Calls

4 calls:

125.0ms	(+.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))))
85.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
79.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
77.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7042 to 3820 computations (45.8% saved)

simplify185.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

536×	`times-frac_binary64`
259×	`associate-l_binary64`
215×	`associate-r_binary64`
202×	`cancel-sign-sub-inv_binary64`
194×	`associate-/l*_binary64`

Counts

214 → 202

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	5808
1	473	5324
2	2809	5243
3	4812	5195
4	5049	5195

prune77.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	196	6	202
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	197	7	204

Error

34.3b

Counts

204 → 7

Alt Table

Status	Error	Program
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.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)))))
	60.8b	(.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)))))
	48.6b	(.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))))))
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
▶	42.5b	(.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))))
	59.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
	50.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))

Compiler

Compiled 3458 to 977 computations (71.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.5b	(.f64 (.f64 M M) (*.f64 w h))
11.3b	(.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))))
14.4b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
15.1b	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))

rewrite914.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

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:

23.0ms	(.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))
10.0ms	(.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)

series304.0ms (1.5%)

Error

29.4b

Counts

4 → 57

Calls

4 calls:

122.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
98.0ms	(.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)))
24.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 3360 to 2463 computations (26.7% saved)

simplify659.0ms (3.3%)

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

prune142.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	408	7	415
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	409	13	422

Error

28.2b

Counts

422 → 13

Alt Table

Status	Error	Program
	36.7b	(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))))
	40.9b	(.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))))
	48.6b	(.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))))))
	41.8b	(/.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)))
	44.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0))))))
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
	42.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h)))) (cbrt.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))))) (cbrt.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))))) (.f64 (.f64 d d) c0))))
✓	42.5b	(.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))))
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.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)))))
	60.8b	(.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)))))
	39.7b	(.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))))
	59.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
▶	35.2b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))

Compiler

Compiled 3450 to 1524 computations (55.8% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.9b	(.f64 (.f64 M M) h)
14.0b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
15.8b	(.f64 (.f64 D D) (.f64 (.f64 M M) h))

rewrite148.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

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:

11.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
8.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) h))
6.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 2092 to 424 computations (79.7% saved)

series116.0ms (0.6%)

Error

28.2b

Counts

3 → 27

Calls

3 calls:

60.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
32.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) h))
13.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 1230 to 938 computations (23.7% saved)

simplify132.0ms (0.7%)

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

prune34.0ms (0.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	77	16	93

Error

23.2b

Counts

93 → 16

Alt Table

Status	Error	Program
	50.4b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
	60.8b	(.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)))))
	48.6b	(.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))))))
	41.8b	(/.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)))
	46.7b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 M M) h)) (.f64 2 (log.f64 (/.f64 D d))))))
	44.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d d) c0))))))
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
	54.3b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
	39.7b	(.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))))
	36.7b	(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))))
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.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)))))
▶	32.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) d)) d))
	33.1b	(.f64 1/4 (/.f64 (.f64 D D) (/.f64 d (/.f64 (.f64 (.f64 M M) h) d))))
✓	42.5b	(.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))))
	59.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
✓	35.2b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))

Compiler

Compiled 1263 to 714 computations (43.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
5.8b	(/.f64 (.f64 (.f64 M M) h) d)
7.9b	(.f64 (.f64 M M) h)
15.2b	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))

rewrite212.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

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:

21.0ms	(.f64 (.f64 M M) h)
11.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
9.0ms	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))
5.0ms	(/.f64 (.f64 (.f64 M M) h) d)

Compiler

Compiled 2697 to 634 computations (76.5% saved)

series182.0ms (0.9%)

Error

23.2b

Counts

4 → 39

Calls

4 calls:

54.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
47.0ms	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))
25.0ms	(/.f64 (.f64 (.f64 M M) h) d)
12.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 1734 to 1307 computations (24.6% saved)

simplify147.0ms (0.7%)

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

prune64.0ms (0.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	5	8	13
Picked	1	0	1
Done	2	0	2
Total	113	17	130

Error

19.4b

Counts

130 → 17

Alt Table

Status	Error	Program
	36.7b	(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))))
	33.1b	(.f64 1/4 (/.f64 (.f64 D D) (.f64 d (/.f64 d (.f64 (*.f64 M M) h)))))
	36.9b	(.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))
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w h) (/.f64 (.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)))))
	46.7b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 M M) h)) (.f64 2 (log.f64 (/.f64 D d))))))
	63.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (sqrt.f64 (+.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))))) (sqrt.f64 (+.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)))))))
	54.3b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
	39.7b	(.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))))
	34.8b	(.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) h)) d) 3)) d))
	46.3b	(.f64 1/4 (.f64 (/.f64 (.f64 D D) (sqrt.f64 d)) (/.f64 M (/.f64 (pow.f64 d 3/2) (.f64 M h)))))
	30.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) (/.f64 h d))) d))
	31.4b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 D D) (*.f64 M M)) (/.f64 h d)) d))
	49.4b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 M (sqrt.f64 h))) (sqrt.f64 h)) d)) d))
	60.8b	(.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)))))
	46.5b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (/.f64 (*.f64 M M) (sqrt.f64 d))) (sqrt.f64 d))) d))
	51.8b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 h d)) (.f64 2 (log.f64 (*.f64 D M))))) d))
	59.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))

Compiler

Compiled 1173 to 527 computations (55.1% saved)

regimes5.6s (27.6%)

Accuracy

Total 7.2b remaining (26.4%)

Threshold costs 0b (0%)

Compiler

Compiled 124729 to 64549 computations (48.2% saved)

bsearch533.0ms (2.6%)

Steps

Iters	Range	Point
5	4.450810602822558e+144	9.231058489030342e+144	9.128356389280072e+144
10	-2.4231449611112602e+34	-1.5873319332322354e+22	-6.128504964236849e+32
8	-1.486238392932851e+148	-1.9498589062700694e+145	-1.9909816659836515e+146

Iters

Range

Point

4.450810602822558e+144

9.231058489030342e+144

9.128356389280072e+144

-2.4231449611112602e+34

-1.5873319332322354e+22

-6.128504964236849e+32

-1.486238392932851e+148

-1.9498589062700694e+145

-1.9909816659836515e+146

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	123
1	59	123
2	59	123

end1.0ms (0%)

Compiler: Compiled 88 to 49 computations (44.3% saved)

sample7.0s (34.7%)

Algorithm

1×

intervals

Results

1.5s	2083×	body	4096	valid
1.2s	11856×	body	128	nan
953.0ms	1151×	body	8192	valid
746.0ms	1307×	body	2048	valid
435.0ms	3956×	body	128	invalid
255.0ms	631×	body	1024	valid
242.0ms	2373×	body	128	valid
119.0ms	281×	body	512	valid
37.0ms	174×	body	256	valid
26.0ms	67×	body	1024	invalid
24.0ms	49×	body	2048	invalid
10.0ms	16×	body	4096	invalid
9.0ms	32×	body	512	invalid
3.0ms	4×	body	8192	exit
2.0ms	12×	body	256	invalid

Compiler

Compiled 701 to 404 computations (42.4% saved)

Details

analyze2.5s (12.6%)

sample227.0ms (1.1%)

simplify45.0ms (0.2%)

prune4.0ms (0%)

localize20.0ms (0.1%)

rewrite496.0ms (2.5%)

series378.0ms (1.9%)

simplify185.0ms (0.9%)

prune77.0ms (0.4%)

localize15.0ms (0.1%)

rewrite914.0ms (4.5%)

series304.0ms (1.5%)

simplify659.0ms (3.3%)

prune142.0ms (0.7%)

localize17.0ms (0.1%)

rewrite148.0ms (0.7%)

series116.0ms (0.6%)

simplify132.0ms (0.7%)

prune34.0ms (0.2%)

localize10.0ms (0.1%)

rewrite212.0ms (1.1%)

series182.0ms (0.9%)

simplify147.0ms (0.7%)

prune64.0ms (0.3%)

regimes5.6s (27.6%)

bsearch533.0ms (2.6%)

simplify5.0ms (0%)

end1.0ms (0%)

sample7.0s (34.7%)

Profiling