Details

analyze2.0s (10.5%)

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)

sample169.0ms (0.9%)

Algorithm

1×

intervals

Results

35.0ms	68×	body	4096	valid
27.0ms	354×	body	128	nan
23.0ms	35×	body	8192	valid
14.0ms	35×	body	2048	valid
10.0ms	19×	body	1024	valid
9.0ms	119×	body	128	invalid
7.0ms	85×	body	128	valid
3.0ms	11×	body	512	valid
1.0ms	2×	body	4096	invalid
1.0ms	3×	body	1024	invalid
0.0ms	3×	body	256	valid
0.0ms	1×	body	2048	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

59.3b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	59.4b	(.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)))))
	61.6b	(.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)))))

Status

Error

Program

▶

59.4b

(*.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)))))

61.6b

(*.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)))))

Compiler

Compiled 272 to 123 computations (54.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.5b	(+.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))))

rewrite575.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

59.3b

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:

49.0ms	(+.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))))
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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10020 to 1186 computations (88.2% saved)

series509.0ms (2.7%)

Error

37.7b

Counts

4 → 71

Calls

4 calls:

163.0ms	(+.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))))
112.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
110.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
108.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7042 to 3915 computations (44.4% saved)

simplify184.0ms (1%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64`
265×	`associate-l_binary64`
225×	`associate-r_binary64`
214×	`cancel-sign-sub-inv_binary64`
202×	`associate-/r*_binary64`

Counts

214 → 202

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	5808
1	478	5324
2	2892	5243
3	4820	5195
4	5046	5195

prune91.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	196	6	202
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	197	7	204

Error

38.2b

Counts

204 → 7

Alt Table

Status	Error	Program
	59.6b	(.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)))))
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	53.1b	(.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))))))
	61.6b	(.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)))))
	52.6b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
▶	44.4b	(.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))))

Compiler

Compiled 3392 to 942 computations (72.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(.f64 (.f64 d d) c0)
12.4b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
13.7b	(.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))))
17.7b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite907.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

30.7b

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:

31.0ms	(.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)

series367.0ms (2%)

Error

31.6b

Counts

4 → 54

Calls

4 calls:

150.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
125.0ms	(.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))))
63.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
19.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3084 to 2285 computations (25.9% saved)

simplify317.0ms (1.7%)

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 → 354

Iterations

Useful iterations: 1 (0.0ms)

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

prune171.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	348	6	354
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	350	11	361

Error

30.2b

Counts

361 → 11

Alt Table

Status	Error	Program
	59.6b	(.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)))))
	43.7b	(.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 c0 (.f64 d d)))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d))))) (cbrt.f64 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d)))))))
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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)))))
	43.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 d (.f64 c0 d)))))
▶	36.5b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	43.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (/.f64 (.f64 M M) (.f64 d d)) (.f64 w (.f64 (*.f64 D D) h))) c0)))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	44.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M M) (/.f64 (.f64 d d) (/.f64 (.f64 w (.f64 (.f64 D D) h)) c0)))))
	61.6b	(.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)))))
	52.6b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	38.1b	(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 c0 (.f64 d d)))))

Compiler

Compiled 3305 to 1396 computations (57.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
7.9b	(.f64 (.f64 D D) h)
12.2b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
15.9b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite296.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

24.1b

Rules

176×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
107×	`prod-exp_binary64` `cbrt-unprod_binary64`
32×	`pow1_binary64`
28×	`div-exp_binary64` `cbrt-undiv_binary64`
19×	`pow-prod-down_binary64`

Counts

4 → 137

Calls

4 calls:

15.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
5.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3564 to 677 computations (81% saved)

series208.0ms (1.1%)

Error

30.2b

Counts

4 → 39

Calls

4 calls:

80.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
70.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
35.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1689 to 1319 computations (21.9% saved)

simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

345×	`associate-/r/_binary64`
315×	`times-frac_binary64`
252×	`unswap-sqr_binary64`
250×	`associate-/l/_binary64`
240×	`log-prod_binary64`

Counts

176 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	4767
1	356	3276
2	1750	3276
3	3624	3238
4	4906	3238
5	4973	3238

prune67.0ms (0.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	131	15	146

Error

26.1b

Counts

146 → 15

Alt Table

Status	Error	Program
	59.6b	(.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)))))
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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)))))
	36.5b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)) 1/4)) (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)) 1/4))) (cbrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)) 1/4)))
	54.2b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	50.1b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	44.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M M) (/.f64 (.f64 d d) (/.f64 (.f64 w (.f64 (.f64 D D) h)) c0)))))
	50.1b	(exp.f64 (+.f64 (log.f64 (.f64 (.f64 (.f64 D D) h) 1/4)) (.f64 2 (log.f64 (/.f64 M d)))))
▶	33.3b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (*.f64 D D) h)) d))
	61.6b	(.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)))))
	52.0b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
	33.6b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	52.6b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	38.1b	(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 c0 (.f64 d d)))))
	44.4b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (exp.f64 (log.f64 (.f64 (.f64 D D) h)))) (.f64 d d)))

Compiler

Compiled 1433 to 708 computations (50.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.5b	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
6.9b	(/.f64 (*.f64 M M) d)
7.9b	(.f64 (.f64 D D) h)
13.1b	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))

rewrite254.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

21.7b

Rules

97×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
46×	`prod-exp_binary64` `cbrt-unprod_binary64`
24×	`div-exp_binary64` `cbrt-undiv_binary64`
18×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`

Counts

4 → 116

Calls

4 calls:

12.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
11.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
6.0ms	(/.f64 (*.f64 M M) d)
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2704 to 612 computations (77.4% saved)

series176.0ms (0.9%)

Error

26.1b

Counts

4 → 36

Calls

4 calls:

70.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
62.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
18.0ms	(/.f64 (*.f64 M M) d)
18.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1578 to 1197 computations (24.1% saved)

simplify160.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

593×	`associate-/r/_binary64`
539×	`*-commutative_binary64`
264×	`log-prod_binary64`
232×	`unswap-sqr_binary64`
188×	`sub-neg_binary64`

Counts

152 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	3178
1	378	2323
2	1648	2323
3	3628	2319
4	4864	2319
5	4994	2319
6	4974	2319

prune88.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	110	9	119
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	116	18	134

Error

22.6b

Counts

134 → 18

Alt Table

Status	Error	Program
	59.6b	(.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)))))
	61.3b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 c0 (/.f64 (.f64 w (.f64 (.f64 D D) 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)))))
	32.0b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (*.f64 M M) d)) h) d))
	54.2b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	50.1b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	29.9b	(.f64 1/4 (.f64 (.f64 (/.f64 M d) (/.f64 M (.f64 (cbrt.f64 d) (cbrt.f64 d)))) (/.f64 (.f64 (.f64 D D) h) (cbrt.f64 d))))
	44.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M M) (/.f64 (.f64 d d) (/.f64 (.f64 w (.f64 (.f64 D D) h)) c0)))))
	31.3b	(.f64 1/4 (/.f64 (.f64 (.f64 M (/.f64 M d)) (.f64 (*.f64 D D) h)) d))
	29.6b	(.f64 1/4 (/.f64 (.f64 (/.f64 M 1) (.f64 (.f64 (*.f64 D D) h) (/.f64 M d))) d))
	37.2b	(.f64 1/4 (/.f64 (exp.f64 (log.f64 (/.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) h)) d))) d))
	61.6b	(.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)))))
	49.6b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h))) d))
	46.3b	(.f64 1/4 (/.f64 (.f64 (/.f64 M (sqrt.f64 d)) (.f64 (.f64 (*.f64 D D) h) (/.f64 M (sqrt.f64 d)))) d))
	33.6b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	33.3b	(.f64 1/4 (log.f64 (pow.f64 (exp.f64 (/.f64 (.f64 M M) d)) (/.f64 (.f64 (.f64 D D) h) d))))
	29.7b	(.f64 1/4 (/.f64 (.f64 (/.f64 M (.f64 (cbrt.f64 d) (cbrt.f64 d))) (.f64 (.f64 (.f64 D D) h) (/.f64 M (cbrt.f64 d)))) d))
	44.4b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (exp.f64 (log.f64 (.f64 (.f64 D D) h)))) (.f64 d d)))

Compiler

Compiled 1285 to 545 computations (57.6% saved)

regimes6.3s (33.7%)

Accuracy

Total 5.3b remaining (21%)

Threshold costs 0b (0%)

Compiler

Compiled 139384 to 69452 computations (50.2% saved)

bsearch18.0ms (0.1%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`1-exp_binary64` `/-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	88
1	45	88
2	44	88

end1.0ms (0%)

Compiler: Compiled 65 to 34 computations (47.7% saved)

sample5.6s (30%)

Algorithm

1×

intervals

Results

1.0s	2097×	body	4096	valid
921.0ms	11757×	body	128	nan
718.0ms	1143×	body	8192	valid
510.0ms	1273×	body	2048	valid
326.0ms	4012×	body	128	invalid
194.0ms	2451×	body	128	valid
182.0ms	588×	body	1024	valid
74.0ms	320×	body	512	valid
20.0ms	53×	body	2048	invalid
19.0ms	128×	body	256	valid
19.0ms	63×	body	1024	invalid
6.0ms	28×	body	512	invalid
6.0ms	12×	body	4096	invalid
5.0ms	9×	body	8192	exit
3.0ms	21×	body	256	invalid

Compiler

Compiled 661 to 381 computations (42.4% saved)

Details

analyze2.0s (10.5%)

sample169.0ms (0.9%)

simplify44.0ms (0.2%)

prune6.0ms (0%)

localize21.0ms (0.1%)

rewrite575.0ms (3.1%)

series509.0ms (2.7%)

simplify184.0ms (1%)

prune91.0ms (0.5%)

localize16.0ms (0.1%)

rewrite907.0ms (4.8%)

series367.0ms (2%)

simplify317.0ms (1.7%)

prune171.0ms (0.9%)

localize10.0ms (0.1%)

rewrite296.0ms (1.6%)

series208.0ms (1.1%)

simplify162.0ms (0.9%)

prune67.0ms (0.4%)

localize10.0ms (0.1%)

rewrite254.0ms (1.4%)

series176.0ms (0.9%)

simplify160.0ms (0.9%)

prune88.0ms (0.5%)

regimes6.3s (33.7%)

bsearch18.0ms (0.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample5.6s (30%)

Profiling