Details

analyze2.7s (14.6%)

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)

sample188.0ms (1%)

Algorithm

1×

intervals

Results

34.0ms	53×	body	4096	valid
30.0ms	281×	body	128	nan
26.0ms	50×	body	2048	valid
23.0ms	29×	body	8192	valid
12.0ms	111×	body	128	invalid
9.0ms	88×	body	128	valid
9.0ms	22×	body	1024	valid
4.0ms	13×	body	512	valid
1.0ms	1×	body	8192	exit
1.0ms	1×	body	2048	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64`
518×	`distribute-neg-frac_binary64`
416×	`fma-def_binary64`
304×	`associate-/l*_binary64`
217×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	64	74
2	296	74
3	3103	67
4	4218	67
5	5365	67

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

58.6b

Counts

2 → 2

Alt Table

Status	Error	Program
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.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

61.3b

(*.f64 (/.f64 c0 (*.f64 2 w)) (fma.f64 (*.f64 d d) (/.f64 c0 (*.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 269 to 120 computations (55.4% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

19.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.6b	(+.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))))

rewrite499.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

58.6b

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 → 156

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

Compiler

Compiled 10758 to 1272 computations (88.2% saved)

series348.0ms (1.9%)

Error

37.9b

Counts

4 → 71

Calls

4 calls:

106.0ms	(+.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))))
82.0ms	(/.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)))
71.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7042 to 3820 computations (45.8% saved)

simplify232.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-def_binary64`
550×	`times-frac_binary64`
487×	`fma-neg_binary64`
270×	`associate-l_binary64`
240×	`associate-r_binary64`

Counts

227 → 210

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	8903
1	545	7747
2	3174	7743
3	4922	7743
4	4998	7743

prune107.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	203	7	210
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	203	9	212

Error

37.9b

Counts

212 → 9

Alt Table

Status	Error	Program
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.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)))))
	60.0b	(.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 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	60.9b	(.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)))))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.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)))))
▶	42.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	53.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))

Compiler

Compiled 3962 to 1058 computations (73.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.9b	(.f64 c0 (.f64 d d))
10.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))))
11.2b	(.f64 (.f64 D D) (.f64 w (.f64 (*.f64 M M) h)))
18.7b	(/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (*.f64 d d)))

rewrite756.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

33.2b

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 → 323

Calls

4 calls:

27.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))))
16.0ms	(/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (*.f64 d d)))
9.0ms	(.f64 (.f64 D D) (.f64 w (.f64 (*.f64 M M) h)))
5.0ms	(.f64 c0 (.f64 d d))

Compiler

Compiled 15045 to 3503 computations (76.7% saved)

series251.0ms (1.3%)

Error

32.1b

Counts

4 → 54

Calls

4 calls:

105.0ms	(/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (*.f64 d d)))
83.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))))
39.0ms	(.f64 (.f64 D D) (.f64 w (.f64 (*.f64 M M) h)))
13.0ms	(.f64 c0 (.f64 d d))

Compiler

Compiled 3149 to 2327 computations (26.1% saved)

simplify328.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

843×	`associate-/r/_binary64`
774×	`times-frac_binary64`
634×	`associate-r_binary64`
501×	`associate-l_binary64`
367×	`associate-/r*_binary64`

Counts

377 → 329

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	20227
1	752	11443
2	3607	11443
3	6047	11443

prune73.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	323	6	329
Fresh	0	7	7
Picked	1	0	1
Done	1	0	1
Total	325	13	338

Error

31.8b

Counts

338 → 13

Alt Table

Status	Error	Program
	42.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 w (.f64 D D)) (.f64 (.f64 M M) h)) (.f64 c0 (.f64 d d)))))
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.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)))))
	53.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (.f64 d (sqrt.f64 c0)) (*.f64 d (sqrt.f64 c0))))))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.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)))))
	42.3b	(.f64 (.f64 (cbrt.f64 (/.f64 c0 (.f64 2 w))) (cbrt.f64 (/.f64 c0 (.f64 2 w)))) (.f64 (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))) (cbrt.f64 (/.f64 c0 (.f64 2 w)))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))))
	42.6b	(/.f64 (.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (/.f64 c0 w) 1/4)) (.f64 c0 (*.f64 d d)))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	40.7b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))) (.f64 (/.f64 c0 w) 1/4)))
	53.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
▶	36.5b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))
	60.0b	(.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 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	60.9b	(.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)))))

Compiler

Compiled 2011 to 809 computations (59.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.9b	(.f64 (.f64 M M) h)
11.7b	(.f64 (.f64 D D) (.f64 (.f64 M M) h))
17.2b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))

rewrite181.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

25.0b

Rules

94×	`add-cbrt-cube_binary64`
94×	`add-exp-log_binary64`
55×	`cbrt-unprod_binary64`
55×	`prod-exp_binary64`
29×	`pow1_binary64`

Counts

3 → 94

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 2194 to 454 computations (79.3% saved)

series97.0ms (0.5%)

Error

31.8b

Counts

3 → 27

Calls

3 calls:

50.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (*.f64 d d))
23.0ms	(.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)

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-*l/_binary64`
561×	`associate-*r/_binary64`
309×	`times-frac_binary64`
246×	`associate-/l/_binary64`
244×	`associate-/r/_binary64`

Counts

121 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	2946
1	295	2127
2	1522	2105
3	4621	2061
4	4964	2061
5	5002	2061

prune32.0ms (0.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	78	15	93

Error

28.4b

Counts

93 → 15

Alt Table

Status	Error	Program
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.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)))))
	53.0b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) (*.f64 d d)))
✓	36.5b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d d)))
	33.9b	(.f64 1/4 (/.f64 (.f64 D D) (/.f64 d (/.f64 (.f64 (.f64 M M) h) d))))
	42.6b	(/.f64 (.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 (/.f64 c0 w) 1/4)) (.f64 c0 (*.f64 d d)))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	40.7b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))) (.f64 (/.f64 c0 w) 1/4)))
	53.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	50.2b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (.f64 M (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
▶	33.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (*.f64 M M) h) d)) d))
	57.7b	(.f64 1/4 (exp.f64 (fma.f64 (log.f64 d) -2 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h)))))
	60.0b	(.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 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	60.9b	(.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)))))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.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)))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))))

Compiler

Compiled 1252 to 620 computations (50.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
7.6b	(/.f64 (.f64 (.f64 M M) h) d)
7.9b	(.f64 (.f64 M M) h)
13.3b	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))

rewrite213.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

23.6b

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 → 122

Calls

4 calls:

9.0ms	(/.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))
6.0ms	(/.f64 (.f64 (.f64 M M) h) d)
5.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 2833 to 678 computations (76.1% saved)

series143.0ms (0.8%)

Error

28.4b

Counts

4 → 39

Calls

4 calls:

49.0ms	(.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d))
47.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) h) d)) d)
22.0ms	(/.f64 (.f64 (.f64 M M) h) d)
13.0ms	(.f64 (.f64 M M) h)

Compiler

Compiled 1734 to 1307 computations (24.6% saved)

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

539×	`*-commutative_binary64`
311×	`fma-neg_binary64`
282×	`fma-def_binary64`
274×	`unswap-sqr_binary64`
239×	`associate-/l*_binary64`

Counts

161 → 118

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	185	3642
1	406	2826
2	1958	2826
3	3263	2813
4	4673	2785
5	4959	2785

prune82.0ms (0.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	6	7	13
Picked	1	0	1
Done	1	0	1
Total	115	18	133

Error

24.9b

Counts

133 → 18

Alt Table

Status	Error	Program
	47.7b	(.f64 1/4 (.f64 (/.f64 (.f64 D D) (sqrt.f64 d)) (/.f64 M (/.f64 (pow.f64 d 3/2) (.f64 M h)))))
	53.0b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) (*.f64 d d)))
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (.f64 d d) (/.f64 c0 (.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)))))
	60.0b	(.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 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	39.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (exp.f64 (log.f64 (.f64 (*.f64 M M) h))) d)) d))
	60.9b	(.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)))))
	33.9b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 D D) (*.f64 M M)) (/.f64 h d)) d))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 D D) (.f64 w h)))))
	51.1b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 (/.f64 h d)))) d))
	33.9b	(.f64 1/4 (/.f64 (.f64 D D) (.f64 d (/.f64 d (.f64 (*.f64 M M) h)))))
	33.6b	(.f64 1/4 (/.f64 1 (/.f64 d (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) h)) d))))
	57.6b	(.f64 1/4 (exp.f64 (-.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 (/.f64 h d))) (log.f64 d))))
	40.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (exp.f64 (log.f64 (/.f64 (.f64 (*.f64 M M) h) d)))) d))
	47.8b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (.f64 M (sqrt.f64 h))) (sqrt.f64 h)) d)) d))
	38.8b	(.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))
	35.6b	(.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 D D) (.f64 (*.f64 M M) h)) d) 3)) d))
	62.8b	(.f64 (/.f64 c0 (.f64 2 w)) (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (neg.f64 (.f64 M M)))))
	40.7b	(log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 (.f64 M M) h))) (.f64 c0 (.f64 d d)))) (.f64 (/.f64 c0 w) 1/4)))

Compiler

Compiled 1242 to 537 computations (56.8% saved)

regimes4.6s (24.7%)

Accuracy

Total 6.3b remaining (23.2%)

Threshold costs 0b (0%)

Compiler

Compiled 140681 to 66545 computations (52.7% saved)

bsearch21.0ms (0.1%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	53
1	32	53
2	32	53

end1.0ms (0%)

Compiler: Compiled 42 to 25 computations (40.5% saved)

sample7.4s (39.6%)

Algorithm

1×

intervals

Results

1.5s	2150×	body	4096	valid
1.4s	11691×	body	128	nan
1.1s	1207×	body	8192	valid
728.0ms	1283×	body	2048	valid
470.0ms	3879×	body	128	invalid
273.0ms	2303×	body	128	valid
253.0ms	578×	body	1024	valid
102.0ms	316×	body	512	valid
36.0ms	66×	body	2048	invalid
36.0ms	163×	body	256	valid
23.0ms	54×	body	1024	invalid
12.0ms	19×	body	4096	invalid
11.0ms	35×	body	512	invalid
6.0ms	28×	body	256	invalid
6.0ms	7×	body	8192	exit

Compiler

Compiled 672 to 377 computations (43.9% saved)

Details

analyze2.7s (14.6%)

sample188.0ms (1%)

simplify47.0ms (0.3%)

prune4.0ms (0%)

localize22.0ms (0.1%)

rewrite499.0ms (2.7%)

series348.0ms (1.9%)

simplify232.0ms (1.2%)

prune107.0ms (0.6%)

localize18.0ms (0.1%)

rewrite756.0ms (4%)

series251.0ms (1.3%)

simplify328.0ms (1.7%)

prune73.0ms (0.4%)

localize10.0ms (0.1%)

rewrite181.0ms (1%)

series97.0ms (0.5%)

simplify125.0ms (0.7%)

prune32.0ms (0.2%)

localize10.0ms (0.1%)

rewrite213.0ms (1.1%)

series143.0ms (0.8%)

simplify144.0ms (0.8%)

prune82.0ms (0.4%)

regimes4.6s (24.7%)

bsearch21.0ms (0.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample7.4s (39.6%)

Profiling