Details

analyze2.2s (12.4%)

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)

sample185.0ms (1%)

Algorithm

1×

intervals

Results

39.0ms	439×	body	128	nan
29.0ms	59×	body	4096	valid
28.0ms	44×	body	8192	valid
17.0ms	43×	body	2048	valid
12.0ms	157×	body	128	invalid
6.0ms	80×	body	128	valid
5.0ms	16×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	5×	body	256	valid
1.0ms	1×	body	8192	exit
0.0ms	2×	body	512	invalid
0.0ms	1×	body	2048	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify44.0ms (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

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

58.7b

Counts

2 → 2

Alt Table

Status	Error	Program
	61.3b	(.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)))))
▶	58.8b	(.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 (.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

61.3b

(*.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)))))

▶

58.8b

(*.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 (*.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:

15.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.5b	(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)))
27.8b	(+.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))))

rewrite571.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

57.0b

Rules

142×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
78×	`prod-exp_binary64` `cbrt-unprod_binary64`
30×	`div-exp_binary64` `cbrt-undiv_binary64`
7×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 116

Calls

4 calls:

44.0ms	(+.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))))
37.0ms	(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)))
13.0ms	(/.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 8377 to 1079 computations (87.1% saved)

series544.0ms (3.1%)

Error

34.1b

Counts

4 → 75

Calls

4 calls:

166.0ms	(+.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))))
124.0ms	(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)))
118.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
114.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7214 to 4321 computations (40.1% saved)

simplify190.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

571×	`times-frac_binary64`
268×	`associate-l_binary64`
237×	`cancel-sign-sub-inv_binary64`
227×	`associate-r_binary64`
208×	`associate-/r*_binary64`

Counts

191 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	5848
1	498	5112
2	2990	5043
3	4749	5011
4	5001	5011

prune120.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	171	7	178
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	172	8	180

Error

34.1b

Counts

180 → 8

Alt Table

Status	Error	Program
▶	41.7b	(.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))))
	59.8b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))) (.f64 M M)))))
	61.3b	(.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)))))
	48.1b	(.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))))))
	58.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (+.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)))) 3)))
	53.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (sqrt.f64 (+.f64 M (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))) M)))))

Compiler

Compiled 3751 to 1215 computations (67.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.4b	(.f64 (.f64 d d) c0)
11.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
12.7b	(.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))))
12.9b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))

rewrite877.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

28.3b

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))))
23.0ms	(/.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)

series386.0ms (2.2%)

Error

29.1b

Counts

4 → 54

Calls

4 calls:

160.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
132.0ms	(.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))))
66.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
18.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3084 to 2285 computations (25.9% saved)

simplify340.0ms (1.9%)

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 (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	341	6	347
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	343	12	355

Error

28.2b

Counts

355 → 12

Alt Table

Status	Error	Program
	36.7b	(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 (.f64 d d) c0))))
	42.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M M) (/.f64 (.f64 d d) (/.f64 (.f64 (*.f64 D D) h) (/.f64 c0 w))))))
	41.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h)))) (cbrt.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))))) (cbrt.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))))) (.f64 (.f64 d d) c0))))
	59.8b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))) (.f64 M M)))))
	61.3b	(.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)))))
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0)))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))))
	58.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (+.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)))) 3)))
	41.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (/.f64 (.f64 (.f64 D D) h) (/.f64 c0 w)))))
	53.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
▶	35.3b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (sqrt.f64 (+.f64 M (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))) M)))))

Compiler

Compiled 3263 to 1407 computations (56.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

6.7b	(.f64 (.f64 D D) h)
11.7b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
14.2b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite183.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

23.0b

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)

series142.0ms (0.8%)

Error

28.2b

Counts

3 → 27

Calls

3 calls:

76.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
39.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1185 to 911 computations (23.1% saved)

simplify126.0ms (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

prune51.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	76	16	92

Error

24.8b

Counts

92 → 16

Alt Table

Status	Error	Program
	36.7b	(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 (.f64 d d) c0))))
	42.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M M) (/.f64 (.f64 d d) (/.f64 (.f64 (*.f64 D D) h) (/.f64 c0 w))))))
	59.8b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))) (.f64 M M)))))
	61.3b	(.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)))))
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0)))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))))
	58.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (+.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)))) 3)))
	34.7b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	54.8b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	50.3b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
	53.3b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	50.0b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
✓	35.3b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (sqrt.f64 (+.f64 M (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))) M)))))
▶	34.2b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (*.f64 D D) h) d)) d))
	36.6b	(.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) 3)) (.f64 d d)))

Compiler

Compiled 1260 to 689 computations (45.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
4.7b	(/.f64 (.f64 (.f64 D D) h) d)
6.7b	(.f64 (.f64 D D) h)
15.4b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite257.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

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:

12.0ms	(.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)

series197.0ms (1.1%)

Error

24.8b

Counts

4 → 39

Calls

4 calls:

72.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
65.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
36.0ms	(/.f64 (.f64 (.f64 D D) h) d)
17.0ms	(.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

prune92.0ms (0.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	2	12	14
Picked	0	1	1
Done	1	0	1
Total	109	21	130

Error

20.5b

Counts

130 → 21

Alt Table

Status	Error	Program
	36.7b	(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 (.f64 d d) c0))))
	59.8b	(.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 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))) (.f64 M M)))))
	61.3b	(.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)))))
	41.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0)))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))))
	49.7b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h)) d)) d))
	58.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	34.7b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 M M) (*.f64 D D)) (/.f64 h d)) d))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (cbrt.f64 (pow.f64 (+.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)))) 3)))
	37.5b	(.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))
	34.4b	(.f64 1/4 (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) d)) (cbrt.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) d))) (cbrt.f64 (/.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) h)) d))) d))
	34.7b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	54.8b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	50.0b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 h d)) (.f64 2 (log.f64 (*.f64 M D))))) d))
	50.3b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
	50.0b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
	33.8b	(.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))
	34.2b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) d) (/.f64 (.f64 M M) (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d)))
	48.8b	(.f64 1/4 (.f64 (/.f64 (.f64 M M) (sqrt.f64 d)) (/.f64 D (/.f64 (pow.f64 d 3/2) (.f64 D h)))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (sqrt.f64 (+.f64 M (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (sqrt.f64 (-.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))) M)))))
	34.2b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (*.f64 D D) h) d)) d))
	36.6b	(.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) 3)) (.f64 d d)))

Compiler

Compiled 1337 to 597 computations (55.3% saved)

regimes5.0s (28.1%)

Accuracy

Total 8.5b remaining (29.8%)

Threshold costs 0b (0%)

Compiler

Compiled 118410 to 58576 computations (50.5% saved)

bsearch17.0ms (0.1%)

Compiler: Compiled 58 to 21 computations (63.8% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	441
1	64	441
2	71	441
3	75	441
4	77	441
5	77	441

end5.0ms (0%)

Compiler: Compiled 299 to 53 computations (82.3% saved)

sample5.8s (32.7%)

Algorithm

1×

intervals

Results

1.1s	2077×	body	4096	valid
971.0ms	11938×	body	128	nan
794.0ms	1215×	body	8192	valid
504.0ms	1259×	body	2048	valid
332.0ms	3930×	body	128	invalid
194.0ms	2409×	body	128	valid
193.0ms	612×	body	1024	valid
64.0ms	280×	body	512	valid
28.0ms	148×	body	256	valid
20.0ms	48×	body	2048	invalid
19.0ms	61×	body	1024	invalid
12.0ms	50×	body	512	invalid
7.0ms	13×	body	4096	invalid
4.0ms	6×	body	8192	exit
4.0ms	24×	body	256	invalid

Compiler

Compiled 1076 to 478 computations (55.6% saved)

Details

analyze2.2s (12.4%)

sample185.0ms (1%)

simplify44.0ms (0.2%)

prune6.0ms (0%)

localize25.0ms (0.1%)

rewrite571.0ms (3.2%)

series544.0ms (3.1%)

simplify190.0ms (1.1%)

prune120.0ms (0.7%)

localize17.0ms (0.1%)

rewrite877.0ms (4.9%)

series386.0ms (2.2%)

simplify340.0ms (1.9%)

prune163.0ms (0.9%)

localize10.0ms (0.1%)

rewrite183.0ms (1%)

series142.0ms (0.8%)

simplify126.0ms (0.7%)

prune51.0ms (0.3%)

localize10.0ms (0.1%)

rewrite257.0ms (1.4%)

series197.0ms (1.1%)

simplify172.0ms (1%)

prune92.0ms (0.5%)

regimes5.0s (28.1%)

bsearch17.0ms (0.1%)

simplify14.0ms (0.1%)

end5.0ms (0%)

sample5.8s (32.7%)

Profiling