Details

analyze2.0s (11.4%)

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)

sample166.0ms (0.9%)

Algorithm

1×

intervals

Results

34.0ms	71×	body	4096	valid
30.0ms	379×	body	128	nan
22.0ms	36×	body	8192	valid
15.0ms	41×	body	2048	valid
9.0ms	128×	body	128	invalid
6.0ms	22×	body	1024	valid
5.0ms	72×	body	128	valid
2.0ms	10×	body	512	valid
1.0ms	3×	body	512	invalid
1.0ms	2×	body	1024	invalid
1.0ms	4×	body	256	valid
0.0ms	1×	body	4096	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify46.0ms (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

prune6.0ms (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
▶	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)))))
	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)))))

Status

Error

Program

▶

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)))))

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)))))

Compiler

Compiled 272 to 123 computations (54.8% saved)

localize21.0ms (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))))

rewrite667.0ms (3.8%)

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:

55.0ms	(+.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)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10020 to 1186 computations (88.2% saved)

series574.0ms (3.3%)

Error

34.5b

Counts

4 → 78

Calls

4 calls:

241.0ms	(+.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))))
105.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
105.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
103.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7594 to 4321 computations (43.1% saved)

simplify216.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64`
265×	`associate-l_binary64`
226×	`associate-r_binary64`
226×	`cancel-sign-sub-inv_binary64`
202×	`associate-/r*_binary64`

Counts

221 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	6172
1	485	5688
2	2915	5619
3	4774	5571
4	5027	5571

prune112.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	204	7	211

Error

34.7b

Counts

211 → 7

Alt Table

Status	Error	Program
▶	41.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
	60.8b	(.f64 (/.f64 c0 (.f64 2 w)) (-.f64 (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0)))))
✓	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)))))
	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)))))
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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)))))
	50.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))

Compiler

Compiled 3493 to 930 computations (73.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b	(.f64 (.f64 d d) c0)
11.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
13.8b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
14.4b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite914.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

27.1b

Rules

917×	`add-cbrt-cube_binary64`
917×	`add-exp-log_binary64`
623×	`cbrt-unprod_binary64`
623×	`prod-exp_binary64`
166×	`cbrt-undiv_binary64`

Counts

4 → 315

Calls

4 calls:

32.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
21.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
13.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
7.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 14856 to 3445 computations (76.8% saved)

series349.0ms (2%)

Error

29.1b

Counts

4 → 54

Calls

4 calls:

152.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
117.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
56.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
16.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3084 to 2285 computations (25.9% saved)

simplify341.0ms (2%)

Algorithm

1×	egg-herbie

Rules

894×	`times-frac_binary64`
535×	`associate-l_binary64`
373×	`associate-/r*_binary64`
365×	`associate-*r/_binary64`
351×	`associate-/l*_binary64`

Counts

369 → 354

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	18972
1	760	12573
2	4917	12573
3	5117	12573

prune165.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	349	5	354
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	350	11	361

Error

27.6b

Counts

361 → 11

Alt Table

Status	Error	Program
	41.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d)))))
	60.8b	(.f64 (/.f64 c0 (.f64 2 w)) (-.f64 (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0)))))
	40.8b	(/.f64 (.f64 c0 (.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) 1/2)) (.f64 (.f64 c0 (.f64 d d)) (*.f64 w 2)))
	36.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d)))))
▶	34.4b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
✓	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)))))
	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)))))
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
	41.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 d (.f64 c0 d)))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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)))))
	50.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))

Compiler

Compiled 3325 to 1391 computations (58.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.4b	(.f64 (.f64 D D) h)
14.0b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
15.1b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite179.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

21.7b

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:

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

Compiler

Compiled 2092 to 424 computations (79.7% saved)

series117.0ms (0.7%)

Error

27.6b

Counts

3 → 27

Calls

3 calls:

64.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
31.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
16.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1185 to 911 computations (23.1% saved)

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-*l/_binary64`
485×	`associate-*r/_binary64`
467×	`*-commutative_binary64`
295×	`times-frac_binary64`
238×	`associate-/l/_binary64`

Counts

115 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	2649
1	282	1830
2	1424	1830
3	4454	1808
4	4925	1808
5	5044	1808

prune43.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	77	14	91

Error

23.8b

Counts

91 → 14

Alt Table

Status	Error	Program
	54.3b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	41.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d)))))
	60.8b	(.f64 (/.f64 c0 (.f64 2 w)) (-.f64 (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0)))))
▶	31.6b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (*.f64 D D) h) d)) d))
	40.8b	(/.f64 (.f64 c0 (.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) 1/2)) (.f64 (.f64 c0 (.f64 d d)) (*.f64 w 2)))
	36.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d)))))
	32.9b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	47.2b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
✓	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)))))
	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)))))
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
	41.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 d (.f64 c0 d)))))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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)))))
	50.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))

Compiler

Compiled 1177 to 616 computations (47.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
7.3b	(/.f64 (.f64 (.f64 D D) h) d)
7.4b	(.f64 (.f64 D D) h)
13.9b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite244.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

19.2b

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:

14.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
13.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
7.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2697 to 634 computations (76.5% saved)

series172.0ms (1%)

Error

23.7b

Counts

4 → 39

Calls

4 calls:

62.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
56.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
32.0ms	(/.f64 (.f64 (.f64 D D) h) d)
15.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1689 to 1278 computations (24.3% saved)

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

503×	`*-commutative_binary64`
274×	`unswap-sqr_binary64`
231×	`associate-/l*_binary64`
218×	`associate-l_binary64`
212×	`log-prod_binary64`

Counts

153 → 114

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	3216
1	387	2400
2	1856	2400
3	3068	2386
4	4663	2377
5	4986	2377
6	4966	2377

prune68.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	112	16	128

Error

20.4b

Counts

128 → 16

Alt Table

Status	Error	Program
	54.3b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	60.8b	(.f64 (/.f64 c0 (.f64 2 w)) (-.f64 (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0)))))
	46.6b	(.f64 1/4 (.f64 (/.f64 (.f64 M M) (sqrt.f64 d)) (/.f64 D (/.f64 (pow.f64 d 3/2) (.f64 D h)))))
	31.4b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 M M) (*.f64 D D)) (/.f64 h d)) d))
	36.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d)))))
	32.9b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	46.7b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (/.f64 (.f64 h (/.f64 (*.f64 D D) (sqrt.f64 d))) (sqrt.f64 d))) d))
	35.4b	(.f64 1/4 (/.f64 (.f64 (.f64 M (.f64 M (sqrt.f64 (/.f64 (.f64 (.f64 D D) h) d)))) (sqrt.f64 (/.f64 (.f64 (.f64 D D) h) d))) d))
	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)))))
	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)))))
	59.9b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
	51.8b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 h d)) (.f64 2 (log.f64 (*.f64 M D))))) d))
	60.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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)))))
	50.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	31.5b	(.f64 1/4 (/.f64 1 (/.f64 d (/.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) h)) d))))
	31.5b	(.f64 1/4 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) h)) d) 1) d))

Compiler

Compiled 1189 to 501 computations (57.9% saved)

regimes5.1s (28.9%)

Accuracy

Total 7.0b remaining (25.6%)

Threshold costs 0b (0%)

Compiler

Compiled 108495 to 54804 computations (49.5% saved)

bsearch211.0ms (1.2%)

Steps

Iters	Range		Point
2	7.132647083660569e+117	2.339961197490643e+120	5.5286507786806465e+119
4	7.025790926836676e-177	1.1147008411460014e-176	7.259802738012728e-177
5	-3.5638789972545165e-294	-2.8104139422447817e-295	-9.169952495142169e-295
8	-2.5596870526921997e-132	-7.492011802152084e-148	-3.1905588265615016e-137
1	-4.5138037858988546e+55	-5.209414819536404e+41	-4.875423653967228e+48

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	169
1	72	169
2	76	169
3	79	169
4	80	169
5	80	169

end2.0ms (0%)

Compiler: Compiled 119 to 56 computations (52.9% saved)

sample5.5s (31.3%)

Algorithm

1×

intervals

Results

1000.0ms	2083×	body	4096	valid
898.0ms	11856×	body	128	nan
724.0ms	1151×	body	8192	valid
500.0ms	1307×	body	2048	valid
308.0ms	3956×	body	128	invalid
193.0ms	631×	body	1024	valid
186.0ms	2373×	body	128	valid
67.0ms	281×	body	512	valid
26.0ms	174×	body	256	valid
20.0ms	67×	body	1024	invalid
18.0ms	49×	body	2048	invalid
10.0ms	16×	body	4096	invalid
7.0ms	32×	body	512	invalid
2.0ms	4×	body	8192	exit
2.0ms	12×	body	256	invalid

Compiler

Compiled 748 to 385 computations (48.5% saved)

Details

analyze2.0s (11.4%)

sample166.0ms (0.9%)

simplify46.0ms (0.3%)

prune6.0ms (0%)

localize21.0ms (0.1%)

rewrite667.0ms (3.8%)

series574.0ms (3.3%)

simplify216.0ms (1.2%)

prune112.0ms (0.6%)

localize19.0ms (0.1%)

rewrite914.0ms (5.2%)

series349.0ms (2%)

simplify341.0ms (2%)

prune165.0ms (0.9%)

localize9.0ms (0.1%)

rewrite179.0ms (1%)

series117.0ms (0.7%)

simplify130.0ms (0.7%)

prune43.0ms (0.2%)

localize10.0ms (0.1%)

rewrite244.0ms (1.4%)

series172.0ms (1%)

simplify172.0ms (1%)

prune68.0ms (0.4%)

regimes5.1s (28.9%)

bsearch211.0ms (1.2%)

simplify9.0ms (0.1%)

end2.0ms (0%)

sample5.5s (31.3%)

Profiling