Details

analyze2.0s (11.8%)

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)

sample188.0ms (1.1%)

Algorithm

1×

intervals

Results

35.0ms	73×	body	4096	valid
34.0ms	453×	body	128	nan
30.0ms	40×	body	8192	valid
16.0ms	36×	body	2048	valid
12.0ms	164×	body	128	invalid
6.0ms	81×	body	128	valid
5.0ms	17×	body	1024	valid
2.0ms	7×	body	512	valid
1.0ms	3×	body	2048	invalid
1.0ms	2×	body	4096	invalid
1.0ms	2×	body	1024	invalid
0.0ms	2×	body	512	invalid
0.0ms	2×	body	256	valid
0.0ms	2×	body	256	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify44.0ms (0.3%)

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

prune9.0ms (0.1%)

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

60.6b

Counts

2 → 2

Alt Table

Status	Error	Program
	62.6b	(.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)))))
▶	60.7b	(.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)))))

Status

Error

Program

62.6b

(*.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)))))

▶

60.7b

(*.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)))))

Compiler

Compiled 272 to 123 computations (54.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.7b	(+.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))))

rewrite648.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

60.6b

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:

53.0ms	(+.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)))
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)

series506.0ms (3%)

Error

35.6b

Counts

4 → 71

Calls

4 calls:

160.0ms	(+.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)))
109.0ms	(/.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)

simplify188.0ms (1.1%)

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

prune84.0ms (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

35.3b

Counts

204 → 7

Alt Table

Status	Error	Program
	52.1b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.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)))))
	62.6b	(.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)))))
	62.0b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))) 3)) (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)))))
▶	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))))
	62.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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)))))
	61.0b	(.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 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)))))

Compiler

Compiled 3408 to 944 computations (72.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.7b	(.f64 (.f64 D D) h)
11.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
12.8b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
15.2b	(.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))))

rewrite740.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

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:

35.0ms	(.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))))
19.0ms	(/.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) h)

Compiler

Compiled 14856 to 3482 computations (76.6% saved)

series364.0ms (2.2%)

Error

29.5b

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))
126.0ms	(.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))))
62.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
19.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3084 to 2283 computations (26% saved)

simplify328.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64`
533×	`associate-l_binary64`
365×	`associate-*r/_binary64`
363×	`associate-/r*_binary64`
337×	`associate-/l*_binary64`

Counts

369 → 347

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	473	18972
1	762	12573
2	4831	12573
3	5015	12573

prune138.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	341	6	347
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	343	11	354

Error

27.0b

Counts

354 → 11

Alt Table

Status	Error	Program
▶	35.9b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	48.3b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (cbrt.f64 (.f64 (pow.f64 (.f64 D D) 3) (pow.f64 h 3))))) (.f64 (.f64 d d) c0))))
	41.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (cbrt.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))) (cbrt.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))) (.f64 (.f64 d d) c0))))
	52.1b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.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)))))
	39.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M (.f64 M (.f64 (.f64 (.f64 D D) h) w))) (.f64 (.f64 d d) c0))))
	41.4b	(/.f64 (.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (/.f64 c0 w) 1/4)) (.f64 (*.f64 d d) c0))
	37.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0))))
	62.6b	(.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)))))
	62.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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)))))
	61.0b	(.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 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)))))

Compiler

Compiled 3085 to 1357 computations (56% 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)))
9.7b	(.f64 (.f64 D D) h)
13.4b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
13.9b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite298.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

21.0b

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:

17.0ms	(.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))
12.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
8.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3564 to 677 computations (81% saved)

series205.0ms (1.2%)

Error

27.0b

Counts

4 → 39

Calls

4 calls:

77.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
69.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
38.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
16.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1689 to 1319 computations (21.9% saved)

simplify164.0ms (1%)

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

prune65.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	133	13	146

Error

23.3b

Counts

146 → 13

Alt Table

Status	Error	Program
	50.3b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h))) (*.f64 d d)))
	35.9b	(.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)))
	33.8b	(.f64 1/4 (/.f64 (.f64 M M) (/.f64 d (/.f64 (.f64 (.f64 D D) h) d))))
	52.1b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.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)))))
	48.9b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
	52.9b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	35.9b	(.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (.f64 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)) (cbrt.f64 1/4)))
▶	32.9b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (*.f64 D D) h)) d))
	39.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 M (.f64 M (.f64 (.f64 (.f64 D D) h) w))) (.f64 (.f64 d d) c0))))
	37.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0))))
	62.6b	(.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)))))
	62.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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 1285 to 651 computations (49.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(/.f64 (*.f64 M M) d)
5.3b	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
9.7b	(.f64 (.f64 D D) h)
14.1b	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))

rewrite235.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

19.6b

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:

16.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
12.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
6.0ms	(.f64 (.f64 D D) h)
5.0ms	(/.f64 (*.f64 M M) d)

Compiler

Compiled 2704 to 612 computations (77.4% saved)

series176.0ms (1%)

Error

23.3b

Counts

4 → 36

Calls

4 calls:

69.0ms	(/.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))
20.0ms	(/.f64 (*.f64 M M) d)
16.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1578 to 1197 computations (24.1% saved)

simplify170.0ms (1%)

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 → 118

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

prune80.0ms (0.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	115	16	131

Error

21.3b

Counts

131 → 16

Alt Table

Status	Error	Program
	29.2b	(.f64 1/4 (/.f64 (.f64 (/.f64 M 1) (.f64 (.f64 (*.f64 D D) h) (/.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)))
	31.1b	(.f64 1/4 (/.f64 (.f64 (.f64 M (/.f64 M d)) (.f64 (*.f64 D D) h)) d))
	29.3b	(.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))
	31.9b	(.f64 1/4 (/.f64 (.f64 (.f64 (.f64 D D) (/.f64 (*.f64 M M) d)) h) d))
	33.7b	(.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))
	52.1b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.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)))))
	48.9b	(.f64 1/4 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 D D) h)) (.f64 2 (log.f64 (/.f64 M d))))))
	52.9b	(.f64 1/4 (/.f64 (exp.f64 (+.f64 (log.f64 h) (.f64 2 (log.f64 (.f64 M D))))) (.f64 d d)))
	33.9b	(.f64 1/4 (/.f64 1 (/.f64 d (/.f64 (.f64 (.f64 M M) (.f64 (*.f64 D D) h)) d))))
	48.6b	(.f64 1/4 (/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D (.f64 D (sqrt.f64 h))) (sqrt.f64 h))) d))
	32.9b	(.f64 1/4 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 (.f64 D D) h) (/.f64 1 d))))
	37.2b	(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w) (.f64 (.f64 d d) c0))))
	62.6b	(.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)))))
	62.6b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 c0 (.f64 w h))) (.f64 2 (log.f64 (/.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 1199 to 504 computations (58% saved)

regimes4.2s (25.1%)

Accuracy

Total 6.6b remaining (23.8%)

Threshold costs 0b (0%)

Compiler

Compiled 81693 to 44740 computations (45.2% saved)

bsearch343.0ms (2%)

Steps

Iters	Range		Point
8	1.009274228260617e+115	7.947792418464399e+117	5.756608776233024e+116
4	6.8177263044208e-170	1.1889531548055943e-148	2.93864576183954e-163
1	-6.652034174641924e-252	-3.6233758327417374e-254	-4.892077319176114e-253
8	-3.9003345303642137e-174	-4.247773657944745e-177	-5.0466503514205154e-176
5	-2.8329896064152557e+131	-1.0194998085239844e+131	-2.792856815890184e+131

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64` `/-rgt-identity_binary64` `+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	157
1	70	157
2	72	157
3	73	157
4	72	157

end2.0ms (0%)

Compiler: Compiled 112 to 55 computations (50.9% saved)

sample5.6s (33.1%)

Algorithm

1×

intervals

Results

1.0s	2104×	body	4096	valid
928.0ms	12064×	body	128	nan
716.0ms	1161×	body	8192	valid
512.0ms	1309×	body	2048	valid
326.0ms	4043×	body	128	invalid
195.0ms	624×	body	1024	valid
190.0ms	2371×	body	128	valid
66.0ms	296×	body	512	valid
21.0ms	49×	body	2048	invalid
20.0ms	135×	body	256	valid
14.0ms	47×	body	1024	invalid
7.0ms	31×	body	512	invalid
7.0ms	14×	body	4096	invalid
3.0ms	20×	body	256	invalid
2.0ms	4×	body	8192	exit

Compiler

Compiled 644 to 366 computations (43.2% saved)

Details

analyze2.0s (11.8%)

sample188.0ms (1.1%)

simplify44.0ms (0.3%)

prune9.0ms (0.1%)

localize21.0ms (0.1%)

rewrite648.0ms (3.9%)

series506.0ms (3%)

simplify188.0ms (1.1%)

prune84.0ms (0.5%)

localize16.0ms (0.1%)

rewrite740.0ms (4.4%)

series364.0ms (2.2%)

simplify328.0ms (1.9%)

prune138.0ms (0.8%)

localize10.0ms (0.1%)

rewrite298.0ms (1.8%)

series205.0ms (1.2%)

simplify164.0ms (1%)

prune65.0ms (0.4%)

localize11.0ms (0.1%)

rewrite235.0ms (1.4%)

series176.0ms (1%)

simplify170.0ms (1%)

prune80.0ms (0.5%)

regimes4.2s (25.1%)

bsearch343.0ms (2%)

simplify7.0ms (0%)

end2.0ms (0%)

sample5.6s (33.1%)

Profiling