Details

analyze2.8s (14.8%)

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)

sample9.7s (51.8%)

Results

3.4s	16460×	body	128	invalid
2.1s	2125×	body	4096	valid
1.5s	1218×	body	8192	valid
1.1s	1359×	body	2048	valid
536.0ms	2514×	body	128	valid
397.0ms	598×	body	1024	valid
144.0ms	291×	body	512	valid
140.0ms	59×	body	1024	invalid
51.0ms	151×	body	256	valid
41.0ms	53×	body	2048	invalid
27.0ms	50×	body	512	invalid
9.0ms	8×	body	8192	exit
8.0ms	23×	body	256	invalid
6.0ms	7×	body	4096	invalid

Compiler

Compiled 176 to 65 computations (63.1% saved)

simplify75.0ms (0.4%)

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 → 2

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

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

59.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	59.7b	(.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)))))
	63.0b	(.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)))))

Status

Error

Program

▶

59.7b

(*.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)))))

63.0b

(*.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)))))

Compiler

Compiled 321 to 130 computations (59.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	13.1b	(.f64 (.f64 w h) (*.f64 D D))
✓	14.2b	(.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)))))
✓	18.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
✓	27.3b	(+.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))))

series1.1s (5.6%)

Counts

4 → 240

Calls

4 calls:

487.0ms	(.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)))))
313.0ms	(+.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))))
230.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.0ms	(.f64 (.f64 w h) (*.f64 D D))

rewrite119.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`add-cbrt-cube_binary64`
94×	`add-exp-log_binary64`
51×	`cbrt-unprod_binary64`
51×	`prod-exp_binary64`
18×	`pow1_binary64`

Counts

4 → 130

Calls

4 calls:

45.0ms	(.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)))))
37.0ms	(+.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))))
10.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
5.0ms	(.f64 (.f64 w h) (*.f64 D D))

simplify455.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/r*_binary64`
478×	`associate-/l*_binary64`
460×	`fma-def_binary64`
295×	`associate-*l/_binary64`
278×	`associate-*r/_binary64`

Counts

370 → 279

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	18780
1	1465	16679
2	4886	16625
3	5160	16625

prune494.0ms (2.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	454	9	463
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	456	9	465

Error

32.1b

Counts

465 → 9

Alt Table

Status	Error	Program
	59.5b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))
▶	36.9b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) (pow.f64 d 2)))
	61.1b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	51.3b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
	44.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (pow.f64 D 2) (.f64 w (.f64 h (pow.f64 M 2)))) (*.f64 (pow.f64 d 2) c0))))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 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)))))
	59.6b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	60.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	62.3b	(.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)))))

Compiler

Compiled 31086 to 6831 computations (78% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	6.6b	(*.f64 (pow.f64 M 2) h)
✓	14.3b	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (pow.f64 d 2))
✓	14.4b	(.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))

series166.0ms (0.9%)

Counts

3 → 40

Calls

3 calls:

125.0ms	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (pow.f64 d 2))
31.0ms	(.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))
10.0ms	(*.f64 (pow.f64 M 2) h)

rewrite31.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`add-exp-log_binary64`
87×	`prod-exp_binary64`
42×	`pow-exp_binary64`
42×	`pow-to-exp_binary64`
39×	`div-exp_binary64`

Counts

3 → 133

Calls

3 calls:

9.0ms	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (pow.f64 d 2))
6.0ms	(.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))
4.0ms	(*.f64 (pow.f64 M 2) h)

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

468×	`associate-*l/_binary64`
391×	`associate-/l/_binary64`
373×	`*-commutative_binary64`
370×	`associate-*r/_binary64`
310×	`fma-def_binary64`

Counts

173 → 160

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	3095
1	332	2730
2	1361	2677
3	4128	2571
4	4913	2571
5	5086	2571

prune248.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	148	12	160
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	150	19	169

Error

24.6b

Counts

169 → 19

Alt Table

Status	Error	Program
	51.8b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 D) 2) (log.f64 (*.f64 (pow.f64 M 2) h))) (log.f64 (pow.f64 d 2)))))
	61.1b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	56.8b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 D) 2) (log.f64 (.f64 (pow.f64 M 2) h))) (.f64 (log.f64 d) 2))))
	51.3b	(.f64 1/2 (/.f64 (.f64 (sqrt.f64 (neg.f64 (pow.f64 M 2))) c0) w))
	53.2b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) (pow.f64 d 2)))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 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)))))
	34.3b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (.f64 (pow.f64 M 2) h))) (pow.f64 d 2)))
	59.5b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))
	51.1b	(.f64 1/4 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))) (.f64 (log.f64 d) 2))))
	34.9b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 M (.f64 M h))) (pow.f64 d 2)))
	59.6b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	56.6b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 D 2)) (+.f64 (.f64 (log.f64 M) 2) (log.f64 h))) (log.f64 (pow.f64 d 2)))))
	60.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
▶	34.0b	(.f64 1/4 (/.f64 (/.f64 (.f64 (pow.f64 D 2) (*.f64 (pow.f64 M 2) h)) d) d))
	57.6b	(.f64 1/4 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (fma.f64 (log.f64 d) -2 (log.f64 h)))))
	34.3b	(.f64 1/4 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (*.f64 M M)) d)))
	36.4b	(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) h) (pow.f64 d 2)))
	49.9b	(.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 (sqrt.f64 M) 2) (.f64 h M))) (pow.f64 d 2)))
	62.3b	(.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)))))

Compiler

Compiled 4414 to 2804 computations (36.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(/.f64 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) d) d)
✓	4.3b	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) d)
	6.6b	(*.f64 (pow.f64 M 2) h)
	14.4b	(.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h))

series196.0ms (1.1%)

Counts

2 → 72

Calls

2 calls:

129.0ms	(/.f64 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) d) d)
67.0ms	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) d)

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log_binary64`
42×	`prod-exp_binary64`
40×	`div-exp_binary64`
36×	`times-frac_binary64`
25×	`add-cbrt-cube_binary64`

Counts

2 → 97

Calls

2 calls:

8.0ms	(/.f64 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) d) d)
6.0ms	(/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) d)

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

675×	`associate-*l/_binary64`
526×	`associate-*r/_binary64`
515×	`associate-/r/_binary64`
350×	`*-commutative_binary64`
221×	`fma-def_binary64`

Counts

169 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	3824
1	350	3490
2	1347	3478
3	3955	3379
4	4854	3379
5	4971	3379

prune345.0ms (1.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	220	9	229
Fresh	7	11	18
Picked	1	0	1
Done	0	0	0
Total	228	20	248

Error

22.7b

Counts

248 → 20

Alt Table

Status	Error	Program
	34.3b	(.f64 1/4 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (*.f64 M M)) d)))
	50.9b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 (/.f64 h d)))) d))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 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)))))
	34.3b	(.f64 1/4 (/.f64 (.f64 D (.f64 D (.f64 (pow.f64 M 2) h))) (pow.f64 d 2)))
	48.1b	(.f64 1/4 (/.f64 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 (sqrt.f64 M) 2) (.f64 h M))) d) d))
	59.6b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	46.7b	(.f64 1/4 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 D) 2) (.f64 (pow.f64 (sqrt.f64 D) 2) (.f64 (pow.f64 M 2) h))) d) d))
	56.6b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 D 2)) (+.f64 (.f64 (log.f64 M) 2) (log.f64 h))) (log.f64 (pow.f64 d 2)))))
	60.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
▶	31.0b	(.f64 1/4 (/.f64 (/.f64 (.f64 D (.f64 D (.f64 h (*.f64 M M)))) d) d))
	61.1b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	56.8b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 D) 2) (log.f64 (.f64 (pow.f64 M 2) h))) (.f64 (log.f64 d) 2))))
	33.5b	(.f64 1/4 (/.f64 (/.f64 (.f64 (.f64 (.f64 D D) (*.f64 M M)) h) d) d))
	32.2b	(.f64 1/4 (.f64 (.f64 (/.f64 D (.f64 d (cbrt.f64 d))) D) (/.f64 (.f64 h (.f64 M M)) (*.f64 (cbrt.f64 d) (cbrt.f64 d)))))
	57.6b	(.f64 1/4 (exp.f64 (fma.f64 (log.f64 d) -2 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h)))))
	36.4b	(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) h) (pow.f64 d 2)))
	31.7b	(.f64 1/4 (/.f64 (/.f64 (.f64 (pow.f64 D 2) (.f64 M (.f64 h M))) d) d))
	52.1b	(.f64 1/4 (/.f64 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) d) d))
	59.5b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))
	62.3b	(.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)))))

Compiler

Compiled 6275 to 3472 computations (44.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(/.f64 (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) d) d)
✓	4.3b	(/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) d)
✓	6.4b	(.f64 D (.f64 h (*.f64 M M)))
✓	6.6b	(.f64 h (.f64 M M))

series214.0ms (1.1%)

Counts

4 → 156

Calls

4 calls:

122.0ms	(/.f64 (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) d) d)
62.0ms	(/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) d)
22.0ms	(.f64 D (.f64 h (*.f64 M M)))
9.0ms	(.f64 h (.f64 M M))

rewrite39.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-cbrt-cube_binary64`
65×	`add-exp-log_binary64`
36×	`times-frac_binary64`
29×	`cbrt-unprod_binary64`
29×	`prod-exp_binary64`

Counts

4 → 129

Calls

4 calls:

10.0ms	(/.f64 (/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) d) d)
8.0ms	(/.f64 (.f64 D (.f64 D (.f64 h (.f64 M M)))) d)
6.0ms	(.f64 D (.f64 h (*.f64 M M)))
4.0ms	(.f64 h (.f64 M M))

simplify163.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

738×	`associate-/r/_binary64`
566×	`*-commutative_binary64`
228×	`fma-def_binary64`
213×	`associate-/l*_binary64`
203×	`associate-r_binary64`

Counts

285 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	5243
1	447	4636
2	1815	4624
3	3989	4573
4	4878	4573
5	4978	4573

prune317.0ms (1.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	202	5	207
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	206	21	227

Error

21.7b

Counts

227 → 21

Alt Table

Status	Error	Program
	28.6b	(.f64 1/4 (/.f64 (/.f64 (.f64 D (.f64 D (.f64 (*.f64 h M) M))) d) d))
	57.6b	(.f64 1/4 (exp.f64 (fma.f64 (log.f64 d) -2 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h)))))
	34.3b	(.f64 1/4 (.f64 (/.f64 (.f64 D D) d) (/.f64 (.f64 h (*.f64 M M)) d)))
	50.9b	(.f64 1/4 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 (/.f64 h d)))) d))
	60.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 w (.f64 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)))))
	48.1b	(.f64 1/4 (/.f64 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 (sqrt.f64 M) 2) (.f64 h M))) d) d))
	46.3b	(.f64 1/4 (.f64 (/.f64 (/.f64 D (.f64 (cbrt.f64 d) (cbrt.f64 d))) (sqrt.f64 d)) (/.f64 (/.f64 (.f64 D (.f64 h (.f64 M M))) (cbrt.f64 d)) (sqrt.f64 d))))
	52.1b	(.f64 1/4 (/.f64 (/.f64 (exp.f64 (fma.f64 2 (log.f64 (.f64 D M)) (log.f64 h))) d) d))
	59.6b	(log.f64 (pow.f64 (exp.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 d 4) (.f64 c0 c0)) (.f64 (.f64 w h) (.f64 w h))) (pow.f64 D 4)) (.f64 M M))))) (/.f64 c0 (.f64 2 w))))
	29.3b	(.f64 1/4 (.f64 (/.f64 (/.f64 D (.f64 (cbrt.f64 d) (cbrt.f64 d))) (.f64 (cbrt.f64 d) (cbrt.f64 d))) (/.f64 (/.f64 (.f64 D (.f64 h (*.f64 M M))) (cbrt.f64 d)) (cbrt.f64 d))))
	56.6b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 D 2)) (+.f64 (.f64 (log.f64 M) 2) (log.f64 h))) (log.f64 (pow.f64 d 2)))))
	29.5b	(.f64 1/4 (/.f64 (/.f64 D (/.f64 d (.f64 D (.f64 h (.f64 M M))))) d))
	60.0b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (pow.f64 d 2) c0) (.f64 (pow.f64 D 2) (.f64 w h)))))
	29.5b	(.f64 1/4 (/.f64 (.f64 D (/.f64 (.f64 (.f64 (*.f64 M M) h) D) d)) d))
	62.3b	(.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)))))
	61.1b	(/.f64 (.f64 (pow.f64 d 2) (pow.f64 c0 2)) (.f64 (pow.f64 D 2) (*.f64 (pow.f64 w 2) h)))
	56.8b	(.f64 1/4 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 D) 2) (log.f64 (.f64 (pow.f64 M 2) h))) (.f64 (log.f64 d) 2))))
	33.5b	(.f64 1/4 (/.f64 (/.f64 (.f64 (.f64 (.f64 D D) (*.f64 M M)) h) d) d))
	32.2b	(.f64 1/4 (.f64 (.f64 (/.f64 D (.f64 d (cbrt.f64 d))) D) (/.f64 (.f64 h (.f64 M M)) (*.f64 (cbrt.f64 d) (cbrt.f64 d)))))
	36.4b	(.f64 1/4 (/.f64 (.f64 (*.f64 (pow.f64 D 2) (pow.f64 M 2)) h) (pow.f64 d 2)))
	59.5b	(/.f64 (.f64 c0 (+.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))))) (*.f64 2 w))

Compiler

Compiled 5352 to 1685 computations (68.5% saved)

regimes1.4s (7.3%)

Accuracy

Total 8.5b remaining (31.6%)

Threshold costs 0b (0%)

Counts

105 → 3

Compiler

Compiled 32356 to 21451 computations (33.7% saved)

bsearch336.0ms (1.8%)

Steps

Iters	Range		Point
6	4.531294690025833e+74	3.4664815399754523e+75	3.4252903958142705e+75
8	-2.5912742191922493e+127	-4.1191852102592977e+124	-2.5521439251508326e+127

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	79
1	47	79
2	47	79

end280.0ms (1.5%)

Compiler: Compiled 724 to 459 computations (36.6% saved)

Details

analyze2.8s (14.8%)

sample9.7s (51.8%)

simplify75.0ms (0.4%)

prune5.0ms (0%)

localize21.0ms (0.1%)

series1.1s (5.6%)

rewrite119.0ms (0.6%)

simplify455.0ms (2.4%)

prune494.0ms (2.6%)

localize10.0ms (0.1%)

series166.0ms (0.9%)

rewrite31.0ms (0.2%)

simplify119.0ms (0.6%)

prune248.0ms (1.3%)

localize10.0ms (0.1%)

series196.0ms (1.1%)

rewrite24.0ms (0.1%)

simplify137.0ms (0.7%)

prune345.0ms (1.8%)

localize10.0ms (0.1%)

series214.0ms (1.1%)

rewrite39.0ms (0.2%)

simplify163.0ms (0.9%)

prune317.0ms (1.7%)

regimes1.4s (7.3%)

bsearch336.0ms (1.8%)

simplify3.0ms (0%)

end280.0ms (1.5%)

Profiling