Details

analyze2.0s (12.1%)

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)

sample175.0ms (1%)

Algorithm

1×

intervals

Results

40.0ms	76×	body	4096	valid
29.0ms	375×	body	128	nan
29.0ms	44×	body	8192	valid
16.0ms	43×	body	2048	valid
9.0ms	112×	body	128	invalid
5.0ms	67×	body	128	valid
4.0ms	15×	body	1024	valid
2.0ms	7×	body	512	valid
1.0ms	1×	body	2048	invalid
1.0ms	1×	body	8192	exit
1.0ms	4×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify44.0ms (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

59.1b

Counts

2 → 2

Alt Table

Status	Error	Program
	62.3b	(.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)))))
▶	59.2b	(.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 (.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

62.3b

(*.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)))))

▶

59.2b

(*.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 (*.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)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

12.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
12.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
12.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
34.3b	(+.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))))

rewrite665.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

59.0b

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`prod-exp_binary64` `cbrt-unprod_binary64`
45×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 143

Calls

4 calls:

46.0ms	(+.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))))
18.0ms	(/.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)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10020 to 1186 computations (88.2% saved)

series595.0ms (3.5%)

Error

34.1b

Counts

4 → 78

Calls

4 calls:

245.0ms	(+.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))))
111.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
111.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
109.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7594 to 4321 computations (43.1% saved)

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

prune102.0ms (0.6%)

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

34.0b

Counts

211 → 8

Alt Table

Status	Error	Program
	60.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
▶	40.0b	(.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))))
	62.3b	(.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)))))
	60.2b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.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)))))) (*.f64 M M)))))
	51.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	60.4b	(.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)))))
	62.5b	(.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)))))
	47.3b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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))))))

Compiler

Compiled 3621 to 1015 computations (72% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b	(.f64 (.f64 d d) c0)
11.4b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
12.6b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
13.2b	(.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))))

rewrite778.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

27.0b

Rules

917×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
623×	`prod-exp_binary64` `cbrt-unprod_binary64`
166×	`div-exp_binary64` `cbrt-undiv_binary64`
46×	`pow1_binary64`
30×	`pow-prod-down_binary64`

Counts

4 → 315

Calls

4 calls:

29.0ms	(.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))))
18.0ms	(/.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)))
6.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 14856 to 3445 computations (76.8% saved)

series357.0ms (2.1%)

Error

28.5b

Counts

4 → 54

Calls

4 calls:

149.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
121.0ms	(.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))))
62.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
17.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3084 to 2285 computations (25.9% saved)

simplify342.0ms (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 → 347

Iterations

Useful iterations: 1 (0.0ms)

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

prune163.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	342	5	347
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	344	11	355

Error

27.0b

Counts

355 → 11

Alt Table

Status	Error	Program
	60.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	62.3b	(.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)))))
	60.2b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.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)))))) (*.f64 M M)))))
	51.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	60.4b	(.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)))))
	36.2b	(.f64 c0 (.f64 (/.f64 1/4 w) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (*.f64 d d) c0))))
▶	33.9b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	34.7b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0))))
	38.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M (.f64 M (.f64 (.f64 (.f64 D D) h) w))) (.f64 (.f64 d d) c0))))
	62.5b	(.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)))))
	39.8b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0)) (.f64 (/.f64 c0 w) 1/4))) (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0)) (.f64 (/.f64 c0 w) 1/4)))) (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0)) (*.f64 (/.f64 c0 w) 1/4))))

Compiler

Compiled 3235 to 1366 computations (57.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

5.8b	(.f64 (.f64 D D) h)
12.4b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
13.3b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite168.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

19.9b

Rules

94×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
55×	`prod-exp_binary64` `cbrt-unprod_binary64`
29×	`pow1_binary64`
18×	`pow-prod-down_binary64`
14×	`div-exp_binary64` `cbrt-undiv_binary64`

Counts

3 → 88

Calls

3 calls:

13.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
10.0ms	(.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)

series126.0ms (0.7%)

Error

27.0b

Counts

3 → 27

Calls

3 calls:

68.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
37.0ms	(.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)

simplify123.0ms (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

prune41.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	77	14	91

Error

21.3b

Counts

91 → 14

Alt Table

Status	Error	Program
	60.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	62.3b	(.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)))))
	60.2b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.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)))))) (*.f64 M M)))))
	51.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	60.4b	(.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)))))
	31.6b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
✓	33.9b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	45.8b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
	34.7b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0))))
	38.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M (.f64 M (.f64 (.f64 (.f64 D D) h) w))) (.f64 (.f64 d d) c0))))
	62.5b	(.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 M M) (/.f64 (.f64 (*.f64 D D) h) d)) d))
	54.6b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	49.7b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))

Compiler

Compiled 1144 to 605 computations (47.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
5.8b	(.f64 (.f64 D D) h)
7.3b	(/.f64 (.f64 (.f64 D D) h) d)
13.7b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite243.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

18.4b

Rules

92×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
42×	`prod-exp_binary64` `cbrt-unprod_binary64`
24×	`div-exp_binary64` `cbrt-undiv_binary64`
14×	`pow1_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

4 → 114

Calls

4 calls:

15.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
12.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
6.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2697 to 634 computations (76.5% saved)

series186.0ms (1.1%)

Error

21.3b

Counts

4 → 39

Calls

4 calls:

69.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
62.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
33.0ms	(/.f64 (.f64 (.f64 D D) h) d)
16.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1689 to 1278 computations (24.3% saved)

simplify167.0ms (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

prune69.0ms (0.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	1	11	12
Picked	1	0	1
Done	1	0	1
Total	108	20	128

Error

18.6b

Counts

128 → 20

Alt Table

Status	Error	Program
	60.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	62.3b	(.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)))))
	60.2b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.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)))))) (*.f64 M M)))))
	51.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	60.4b	(.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)))))
	31.6b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	30.1b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 M M) (*.f64 D D)) (/.f64 h d)) d))
	36.2b	(.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))
	46.9b	(.f64 1/4 (/.f64 (/.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) h)) (pow.f64 d 3/2)) (sqrt.f64 d)))
	45.8b	(.f64 1/4 (.f64 (/.f64 (.f64 M M) (sqrt.f64 d)) (/.f64 D (/.f64 (pow.f64 d 3/2) (.f64 D h)))))
	45.8b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
	34.7b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0))))
	38.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M (.f64 M (.f64 (.f64 (.f64 D D) h) w))) (.f64 (.f64 d d) c0))))
	33.9b	(.f64 1/4 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d))) (cbrt.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))) (cbrt.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))))
	62.5b	(.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)))))
	47.3b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h)) d)) d))
	50.2b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 h d)) (.f64 2 (log.f64 (*.f64 M D))))) d))
	30.0b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (/.f64 (.f64 h (/.f64 (.f64 D D) (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d))) d))
	29.8b	(.f64 1/4 (/.f64 (pow.f64 (/.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) h)) d) 1) d))
	54.6b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))

Compiler

Compiled 1304 to 574 computations (56% saved)

regimes4.3s (25.3%)

Accuracy

Total 8.0b remaining (29.2%)

Threshold costs 0b (0%)

Compiler

Compiled 93107 to 49908 computations (46.4% saved)

bsearch200.0ms (1.2%)

Steps

Iters	Range		Point
9	6.462317900031596e+151	3.567205630721821e+158	1.338118781860413e+154
2	-8.272149063111204e+145	-1.145518921743027e+135	-1.5961129530600776e+143

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	90
1	51	90
2	56	90
3	58	90
4	59	90
5	59	90

end2.0ms (0%)

Compiler: Compiled 65 to 40 computations (38.5% saved)

sample5.7s (33.9%)

Algorithm

1×

intervals

Results

1.0s	2117×	body	4096	valid
931.0ms	11698×	body	128	nan
758.0ms	1185×	body	8192	valid
508.0ms	1281×	body	2048	valid
324.0ms	3974×	body	128	invalid
193.0ms	588×	body	1024	valid
187.0ms	2373×	body	128	valid
75.0ms	310×	body	512	valid
23.0ms	146×	body	256	valid
16.0ms	53×	body	1024	invalid
15.0ms	38×	body	2048	invalid
11.0ms	16×	body	4096	invalid
8.0ms	34×	body	512	invalid
5.0ms	9×	body	8192	exit
4.0ms	25×	body	256	invalid

Compiler

Compiled 809 to 442 computations (45.4% saved)

Details

analyze2.0s (12.1%)

sample175.0ms (1%)

simplify44.0ms (0.3%)

prune6.0ms (0%)

localize25.0ms (0.1%)

rewrite665.0ms (3.9%)

series595.0ms (3.5%)

simplify205.0ms (1.2%)

prune102.0ms (0.6%)

localize21.0ms (0.1%)

rewrite778.0ms (4.6%)

series357.0ms (2.1%)

simplify342.0ms (2%)

prune163.0ms (1%)

localize10.0ms (0.1%)

rewrite168.0ms (1%)

series126.0ms (0.7%)

simplify123.0ms (0.7%)

prune41.0ms (0.2%)

localize11.0ms (0.1%)

rewrite243.0ms (1.4%)

series186.0ms (1.1%)

simplify167.0ms (1%)

prune69.0ms (0.4%)

regimes4.3s (25.3%)

bsearch200.0ms (1.2%)

simplify6.0ms (0%)

end2.0ms (0%)

sample5.7s (33.9%)

Profiling