Details

analyze2.6s (15.2%)

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)

sample178.0ms (1%)

Algorithm

1×

intervals

Results

31.0ms	53×	body	4096	valid
27.0ms	281×	body	128	nan
26.0ms	50×	body	2048	valid
21.0ms	29×	body	8192	valid
11.0ms	111×	body	128	invalid
8.0ms	88×	body	128	valid
8.0ms	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)

simplify50.0ms (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)

localize23.0ms (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))))

rewrite455.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

58.6b

Rules

50×	`add-exp-log_binary64`
30×	`prod-exp_binary64`
24×	`add-cbrt-cube_binary64`
22×	`add-cube-cbrt_binary64`
16×	`pow1_binary64`

Counts

4 → 181

Calls

4 calls:

41.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.0ms	(+.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))))
23.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
22.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10324 to 1203 computations (88.3% saved)

series374.0ms (2.2%)

Error

37.9b

Counts

4 → 71

Calls

4 calls:

125.0ms	(+.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))))
84.0ms	(/.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)))
75.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7042 to 3820 computations (45.8% saved)

simplify200.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

824×	`fma-neg_binary64`
348×	`cancel-sign-sub-inv_binary64`
200×	`associate-l_binary64`
193×	`times-frac_binary64`
189×	`cube-prod_binary64`

Counts

252 → 182

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	7474
1	431	6325
2	2533	5959
3	4909	5959
4	5158	5959

prune166.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	176	8	184

Error

39.1b

Counts

184 → 8

Alt Table

Status	Error	Program
	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 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	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))))
	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)))))
	46.5b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M))))))
	61.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M)))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (*.f64 M M)))))))
▶	44.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))

Compiler

Compiled 6506 to 1377 computations (78.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
11.2b	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
11.7b	(.f64 (.f64 M M) (*.f64 w h))
18.7b	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))

rewrite334.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

32.2b

Rules

72×	`add-exp-log_binary64`
50×	`prod-exp_binary64`
30×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`add-cbrt-cube_binary64`

Counts

4 → 162

Calls

4 calls:

22.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
20.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
20.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
15.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 4468 to 1280 computations (71.4% saved)

series287.0ms (1.7%)

Error

32.1b

Counts

4 → 57

Calls

4 calls:

104.0ms	(/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (*.f64 d d) c0))
98.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) (.f64 w h))) (.f64 (.f64 d d) c0))))
50.0ms	(.f64 (.f64 D D) (.f64 (.f64 M M) (*.f64 w h)))
22.0ms	(.f64 (.f64 M M) (*.f64 w h))

Compiler

Compiled 3360 to 2463 computations (26.7% saved)

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

335×	`associate-r_binary64`
322×	`associate-l_binary64`
285×	`log-prod_binary64`
267×	`times-frac_binary64`
186×	`exp-prod_binary64`

Counts

219 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	4682
1	540	4090
2	3255	4049
3	4951	4049
4	4999	4049

prune133.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	147	9	156
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	149	15	164

Error

29.2b

Counts

164 → 15

Alt Table

Status	Error	Program
▶	36.5b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.f64 d d)))
	53.9b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	61.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M)))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (*.f64 M M)))))))
	44.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (log.f64 (pow.f64 (exp.f64 (.f64 w (.f64 h (.f64 M M)))) (.f64 D D))) (.f64 (*.f64 d d) c0))))
	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 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	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)))))
	59.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))) (exp.f64 (fma.f64 2 (log.f64 d) (log.f64 c0))))))
	39.7b	(/.f64 c0 (.f64 (/.f64 w 1/4) (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))))))
	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)))))
	40.8b	(.f64 (.f64 c0 1/2) (.f64 (/.f64 (/.f64 1/2 w) (.f64 d d)) (.f64 (.f64 D D) (/.f64 (.f64 w (.f64 h (*.f64 M M))) c0))))
	41.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 D (.f64 D (.f64 w (.f64 h (.f64 M M))))) (.f64 (.f64 d d) c0))))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h))))) (.f64 D (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))))) (.f64 (.f64 d d) c0))))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (fabs.f64 (.f64 (.f64 D M) (sqrt.f64 (.f64 w h)))) (fabs.f64 (.f64 (.f64 D M) (sqrt.f64 (.f64 w h))))) (.f64 (.f64 d d) c0))))
	50.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))) (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))))) (.f64 (.f64 d d) c0))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))

Compiler

Compiled 3497 to 1321 computations (62.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite197.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

24.4b

Rules

36×	`add-exp-log_binary64`
22×	`prod-exp_binary64`
17×	`add-cbrt-cube_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`pow1_binary64`

Counts

3 → 116

Calls

3 calls:

17.0ms	(/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (*.f64 d d))
15.0ms	(.f64 (.f64 D D) (.f64 h (.f64 M M)))
14.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 2009 to 502 computations (75% saved)

series105.0ms (0.6%)

Error

29.2b

Counts

3 → 27

Calls

3 calls:

58.0ms	(/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (*.f64 d d))
25.0ms	(.f64 (.f64 D D) (.f64 h (.f64 M M)))
12.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 1230 to 938 computations (23.7% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

865×	`unswap-sqr_binary64`
240×	`associate-/l/_binary64`
226×	`associate-/r/_binary64`
162×	`associate-r_binary64`
161×	`associate-l_binary64`

Counts

143 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1942
1	301	1692
2	1442	1678
3	4903	1678
4	5001	1678

prune56.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	4	10	14
Picked	0	1	1
Done	0	0	0
Total	67	15	82

Error

25.4b

Counts

82 → 15

Alt Table

Status	Error	Program
	50.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M (sqrt.f64 h)) (.f64 M (sqrt.f64 h)))) (*.f64 d d)))
	39.7b	(/.f64 c0 (.f64 (/.f64 w 1/4) (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))))))
	61.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M)))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (*.f64 M M)))))))
	44.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (log.f64 (pow.f64 (exp.f64 (.f64 w (.f64 h (.f64 M M)))) (.f64 D D))) (.f64 (*.f64 d d) c0))))
	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 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	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)))))
✓	36.5b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (.f64 h (.f64 M M))) (.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)))))
	47.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D (fabs.f64 (.f64 M (sqrt.f64 h)))) (.f64 D (fabs.f64 (.f64 M (sqrt.f64 h))))) (*.f64 d d)))
▶	33.3b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (*.f64 M M)) d)) d))
	33.9b	(.f64 1/4 (/.f64 (.f64 D D) (/.f64 d (/.f64 (.f64 h (.f64 M M)) d))))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h))))) (.f64 D (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))))) (.f64 (.f64 d d) c0))))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (fabs.f64 (.f64 (.f64 D M) (sqrt.f64 (.f64 w h)))) (fabs.f64 (.f64 (.f64 D M) (sqrt.f64 (.f64 w h))))) (.f64 (.f64 d d) c0))))
	50.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))) (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))))) (.f64 (.f64 d d) c0))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))

Compiler

Compiled 1669 to 762 computations (54.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite313.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

22.0b

Rules

48×	`add-exp-log_binary64`
29×	`add-cube-cbrt_binary64`
24×	`prod-exp_binary64`
24×	`add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`

Counts

4 → 170

Calls

4 calls:

18.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d)) d)
16.0ms	(.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d))
15.0ms	(/.f64 (.f64 h (.f64 M M)) d)
14.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 3028 to 801 computations (73.5% saved)

series144.0ms (0.8%)

Error

25.4b

Counts

4 → 39

Calls

4 calls:

49.0ms	(/.f64 (.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d)) d)
46.0ms	(.f64 (.f64 D D) (/.f64 (.f64 h (.f64 M M)) d))
24.0ms	(/.f64 (.f64 h (.f64 M M)) d)
16.0ms	(.f64 h (.f64 M M))

Compiler

Compiled 1734 to 1307 computations (24.6% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-/l/_binary64`
657×	`unswap-sqr_binary64`
167×	`times-frac_binary64`
165×	`associate-l_binary64`
152×	`associate-r_binary64`

Counts

209 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2821
1	399	2515
2	1859	2507
3	5772	2507

prune87.0ms (0.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	3	10	13
Picked	1	0	1
Done	1	0	1
Total	107	19	126

Error

23.7b

Counts

126 → 19

Alt Table

Status	Error	Program
	40.0b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (exp.f64 (log.f64 (/.f64 (.f64 h (*.f64 M M)) d)))) d))
	34.4b	(.f64 1/4 (/.f64 (expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (*.f64 M M))) d))) d))
	47.6b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M (sqrt.f64 h)) (.f64 M (sqrt.f64 h))) d)) d))
	39.7b	(/.f64 c0 (.f64 (/.f64 w 1/4) (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w (.f64 h (.f64 M M)))))))
	33.3b	(.f64 1/4 (neg.f64 (.f64 (/.f64 (.f64 h (.f64 M M)) (neg.f64 d)) (/.f64 (*.f64 D D) d))))
	47.7b	(.f64 1/4 (/.f64 (.f64 (.f64 D (fabs.f64 (.f64 M (sqrt.f64 h)))) (.f64 D (fabs.f64 (.f64 M (sqrt.f64 h))))) (*.f64 d d)))
	37.8b	(.f64 1/4 (/.f64 (.f64 (fabs.f64 (.f64 D (sqrt.f64 (/.f64 (.f64 h (.f64 M M)) d)))) (fabs.f64 (.f64 D (sqrt.f64 (/.f64 (.f64 h (.f64 M M)) d))))) d))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h))))) (.f64 D (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))))) (.f64 (.f64 d d) c0))))
	33.4b	(.f64 1/4 (/.f64 (.f64 (.f64 D D) (/.f64 (.f64 (.f64 M M) (/.f64 h (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (cbrt.f64 d))) d))
	36.8b	(.f64 1/4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (*.f64 M M))) d))) 1) 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 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h))))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
	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)))))
	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)))))
	49.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (fabs.f64 (.f64 (.f64 D M) (sqrt.f64 (.f64 w h)))) (fabs.f64 (.f64 (.f64 D M) (sqrt.f64 (.f64 w h))))) (.f64 (.f64 d d) c0))))
	61.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (.f64 M M)))))) (cbrt.f64 (fma.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)) (sqrt.f64 (-.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))) 6) (*.f64 M M)))))))
	34.5b	(.f64 1/4 (log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 h (.f64 M M)) d)) (/.f64 (.f64 D D) d))))
	35.6b	(.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 D D) (.f64 h (*.f64 M M))) d) 3)) d))
	50.4b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))) (fabs.f64 (.f64 M (sqrt.f64 (.f64 w h)))))) (.f64 (.f64 d d) c0))))
	60.7b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 (.f64 D D) (.f64 w h)))))

Compiler

Compiled 1683 to 671 computations (60.1% saved)

regimes3.6s (21.4%)

Accuracy

Total 7.2b remaining (26.1%)

Threshold costs 0b (0%)

Compiler

Compiled 95077 to 45887 computations (51.7% saved)

bsearch287.0ms (1.7%)

Steps

Iters	Range		Point
3	1.5132507775240846e-148	1.8986746086504874e-148	1.5268851672651507e-148
9	-2.0160570971864837e-212	-1.9414303447365172e-218	-1.9928696319416464e-212
5	-2.37775222137082e-173	-9.247374792415089e-174	-1.57845886360931e-173
3	-1.0930365122342454e+133	-3.511782758971964e+124	-9.879018091396131e+131

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	138
1	53	138
2	53	138

end1.0ms (0%)

Compiler: Compiled 99 to 48 computations (51.5% saved)

sample7.0s (41.3%)

Algorithm

1×

intervals

Results

1.4s	2150×	body	4096	valid
1.3s	11691×	body	128	nan
1.0s	1207×	body	8192	valid
648.0ms	1283×	body	2048	valid
427.0ms	3879×	body	128	invalid
350.0ms	2303×	body	128	valid
218.0ms	578×	body	1024	valid
94.0ms	316×	body	512	valid
36.0ms	163×	body	256	valid
33.0ms	66×	body	2048	invalid
21.0ms	54×	body	1024	invalid
12.0ms	7×	body	8192	exit
11.0ms	35×	body	512	invalid
11.0ms	19×	body	4096	invalid
5.0ms	28×	body	256	invalid

Compiler

Compiled 880 to 450 computations (48.9% saved)

Details

analyze2.6s (15.2%)

sample178.0ms (1%)

simplify50.0ms (0.3%)

prune4.0ms (0%)

localize23.0ms (0.1%)

rewrite455.0ms (2.7%)

series374.0ms (2.2%)

simplify200.0ms (1.2%)

prune166.0ms (1%)

localize16.0ms (0.1%)

rewrite334.0ms (2%)

series287.0ms (1.7%)

simplify153.0ms (0.9%)

prune133.0ms (0.8%)

localize10.0ms (0.1%)

rewrite197.0ms (1.2%)

series105.0ms (0.6%)

simplify95.0ms (0.6%)

prune56.0ms (0.3%)

localize10.0ms (0.1%)

rewrite313.0ms (1.8%)

series144.0ms (0.8%)

simplify87.0ms (0.5%)

prune87.0ms (0.5%)

regimes3.6s (21.4%)

bsearch287.0ms (1.7%)

simplify5.0ms (0%)

end1.0ms (0%)

sample7.0s (41.3%)

Profiling