Details

analyze2.7s (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)

sample240.0ms (1.3%)

Algorithm

1×

intervals

Results

43.0ms	65×	body	4096	valid
39.0ms	379×	body	128	nan
31.0ms	39×	body	8192	valid
28.0ms	51×	body	2048	valid
14.0ms	120×	body	128	invalid
10.0ms	74×	body	128	valid
7.0ms	12×	body	512	valid
5.0ms	11×	body	1024	valid
1.0ms	2×	body	1024	invalid
1.0ms	4×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify48.0ms (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

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

59.9b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	59.9b	(.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)))))
	62.2b	(.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)))))

Status

Error

Program

▶

59.9b

(*.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)))))

62.2b

(*.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)))))

Compiler

Compiled 272 to 123 computations (54.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
30.1b	(+.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))))

rewrite407.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

59.9b

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:

38.0ms	(+.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)))
11.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
11.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10020 to 1186 computations (88.2% saved)

series392.0ms (2.2%)

Error

34.0b

Counts

4 → 71

Calls

4 calls:

132.0ms	(+.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))))
84.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
83.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
81.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7042 to 3820 computations (45.8% saved)

simplify226.0ms (1.2%)

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

prune64.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	196	6	202
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	198	6	204

Error

33.1b

Counts

204 → 6

Alt Table

Status	Error	Program
	60.4b	(.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)))))
	60.7b	(.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)))))
	44.6b	(.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))))))
▶	40.1b	(.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 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 3412 to 897 computations (73.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.8b	(.f64 (.f64 M M) (*.f64 w h))
12.1b	(.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))))
13.6b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
14.8b	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))

rewrite748.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

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:

28.0ms	(.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))))
15.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
12.0ms	(.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)

series377.0ms (2.1%)

Error

27.7b

Counts

4 → 57

Calls

4 calls:

175.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
106.0ms	(.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))))
52.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
29.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 3360 to 2463 computations (26.7% saved)

simplify425.0ms (2.3%)

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

prune124.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	410	5	415
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	410	11	421

Error

26.2b

Counts

421 → 11

Alt Table

Status	Error	Program
	37.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (.f64 w (.f64 (*.f64 M M) h))) c0)))
	44.6b	(.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))))))
	36.8b	(.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))))
▶	31.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))
	36.5b	(/.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)))
	60.4b	(.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)))))
	60.7b	(.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)))))
✓	40.1b	(.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 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))))
	33.0b	(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))))

Compiler

Compiled 3256 to 1380 computations (57.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

6.5b	(.f64 (.f64 M M) h)
11.3b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
16.2b	(.f64 (.f64 D D) (.f64 (.f64 M M) h))

rewrite142.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

17.8b

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:

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

Compiler

Compiled 2092 to 424 computations (79.7% saved)

series107.0ms (0.6%)

Error

26.2b

Counts

3 → 27

Calls

3 calls:

55.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
27.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) h))
15.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 1230 to 938 computations (23.7% saved)

simplify95.0ms (0.5%)

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

prune32.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	79	12	91

Error

19.9b

Counts

91 → 12

Alt Table

Status	Error	Program
	33.0b	(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))))
	39.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (exp.f64 (log.f64 (.f64 (.f64 M M) h)))) (.f64 d d)))
	36.8b	(.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))))
	29.5b	(.f64 1/4 (/.f64 (.f64 D D) (/.f64 d (/.f64 (.f64 (.f64 M M) h) d))))
	44.2b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 M M) h)) (.f64 2 (log.f64 (/.f64 D d))))))
	49.7b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
	60.4b	(.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)))))
	60.7b	(.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)))))
	44.6b	(.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))))))
✓	40.1b	(.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 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))
▶	28.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) d)) d))

Compiler

Compiled 1064 to 536 computations (49.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
5.3b	(/.f64 (.f64 (.f64 M M) h) d)
6.5b	(.f64 (.f64 M M) h)
15.9b	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))

rewrite226.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

16.4b

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

Compiler

Compiled 2697 to 634 computations (76.5% saved)

series150.0ms (0.8%)

Error

19.9b

Counts

4 → 39

Calls

4 calls:

55.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
48.0ms	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))
26.0ms	(/.f64 (.f64 (.f64 M M) h) d)
12.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 1734 to 1307 computations (24.6% saved)

simplify152.0ms (0.8%)

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 (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	109	17	126

Error

18.2b

Counts

126 → 17

Alt Table

Status	Error	Program
	45.0b	(.f64 1/4 (.f64 (/.f64 (.f64 D D) (sqrt.f64 d)) (/.f64 M (/.f64 (pow.f64 d 3/2) (.f64 M h)))))
	45.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 M (sqrt.f64 h))) (sqrt.f64 h)) d)) d))
	44.2b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 M M) h)) (.f64 2 (log.f64 (/.f64 D d))))))
	37.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (exp.f64 (log.f64 (.f64 (*.f64 M M) h))) d)) d))
	49.7b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 D M))))) (.f64 d d)))
	46.1b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 h d)) (.f64 2 (log.f64 (*.f64 D M))))) d))
	28.3b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 D D) (*.f64 M M)) (/.f64 h d)) d))
	29.6b	(.f64 1/4 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) d)) (cbrt.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) d))) (cbrt.f64 (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) h)) d))) d))
	60.4b	(.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)))))
	33.0b	(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))))
	39.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (exp.f64 (log.f64 (.f64 (.f64 M M) h)))) (.f64 d d)))
	32.4b	(.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))
	36.8b	(.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))))
	29.5b	(.f64 1/4 (/.f64 (.f64 D D) (/.f64 d (/.f64 (.f64 (.f64 M M) h) d))))
	60.7b	(.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)))))
	40.1b	(.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 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))

Compiler

Compiled 1205 to 509 computations (57.8% saved)

regimes3.7s (20.4%)

Accuracy

Total 8.3b remaining (29%)

Threshold costs 0b (0%)

Compiler

Compiled 71806 to 42784 computations (40.4% saved)

bsearch322.0ms (1.8%)

Steps

Iters	Range		Point
7	3.992138993405175e+73	3.301149478385561e+75	3.255830381164449e+75
10	-1.0924858049453156e+126	-4.287298331479182e+113	-1.078861062403717e+126

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
5×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	93
1	55	93
2	60	93
3	62	93
4	63	93
5	63	93

end1.0ms (0%)

Compiler: Compiled 66 to 44 computations (33.3% saved)

sample7.4s (40.4%)

Algorithm

1×

intervals

Results

1.5s	2151×	body	4096	valid
1.3s	11511×	body	128	nan
923.0ms	1123×	body	8192	valid
868.0ms	1262×	body	2048	valid
467.0ms	4065×	body	128	invalid
306.0ms	654×	body	1024	valid
250.0ms	2386×	body	128	valid
96.0ms	306×	body	512	valid
28.0ms	46×	body	2048	invalid
27.0ms	118×	body	256	valid
21.0ms	53×	body	1024	invalid
11.0ms	35×	body	512	invalid
9.0ms	15×	body	4096	invalid
4.0ms	6×	body	8192	exit
4.0ms	18×	body	256	invalid

Compiler

Compiled 711 to 381 computations (46.4% saved)

Details

analyze2.7s (14.9%)

sample240.0ms (1.3%)

simplify48.0ms (0.3%)

prune4.0ms (0%)

localize21.0ms (0.1%)

rewrite407.0ms (2.2%)

series392.0ms (2.2%)

simplify226.0ms (1.2%)

prune64.0ms (0.4%)

localize17.0ms (0.1%)

rewrite748.0ms (4.1%)

series377.0ms (2.1%)

simplify425.0ms (2.3%)

prune124.0ms (0.7%)

localize11.0ms (0.1%)

rewrite142.0ms (0.8%)

series107.0ms (0.6%)

simplify95.0ms (0.5%)

prune32.0ms (0.2%)

localize10.0ms (0.1%)

rewrite226.0ms (1.2%)

series150.0ms (0.8%)

simplify152.0ms (0.8%)

prune64.0ms (0.4%)

regimes3.7s (20.4%)

bsearch322.0ms (1.8%)

simplify6.0ms (0%)

end1.0ms (0%)

sample7.4s (40.4%)

Profiling