Details

analyze2.0s (13.6%)

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)

sample407.0ms (2.8%)

Algorithm

1×

intervals

Results

264.0ms	431×	body	128	nan
31.0ms	63×	body	4096	valid
23.0ms	35×	body	8192	valid
14.0ms	35×	body	2048	valid
14.0ms	129×	body	128	invalid
9.0ms	25×	body	1024	valid
7.0ms	88×	body	128	valid
2.0ms	7×	body	512	valid
1.0ms	3×	body	512	invalid
0.0ms	3×	body	256	valid
0.0ms	2×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 123 to 49 computations (60.2% saved)

simplify45.0ms (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

prune10.0ms (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

60.5b

Counts

2 → 2

Alt Table

Status	Error	Program
	61.8b	(.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)))))
▶	60.5b	(.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

61.8b

(*.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)))))

▶

60.5b

(*.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:

18.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
26.6b	(+.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))))

rewrite483.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

60.4b

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:

51.0ms	(+.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)

series507.0ms (3.5%)

Error

37.5b

Counts

4 → 71

Calls

4 calls:

162.0ms	(+.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))))
110.0ms	(/.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)))
109.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 7042 to 3915 computations (44.4% saved)

simplify188.0ms (1.3%)

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

prune100.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	7	202
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	196	8	204

Error

37.4b

Counts

204 → 8

Alt Table

Status	Error	Program
✓	60.5b	(.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)))))
	61.2b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
▶	44.0b	(.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))))
	50.7b	(.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))))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	63.2b	(.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)))))
	53.0b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	61.2b	(.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)))))

Compiler

Compiled 3526 to 973 computations (72.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (.f64 D D) h)
12.9b	(.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))))
14.9b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite793.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

31.3b

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:

30.0ms	(.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))))
20.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
15.0ms	(.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)

series373.0ms (2.6%)

Error

34.0b

Counts

4 → 54

Calls

4 calls:

153.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
128.0ms	(.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))))
64.0ms	(.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)

simplify322.0ms (2.2%)

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	5016	12573

prune140.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	344	3	347
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	346	9	355

Error

31.9b

Counts

355 → 9

Alt Table

Status	Error	Program
▶	38.0b	(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)))))
✓	60.5b	(.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)))))
	61.2b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	43.2b	(.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)))
	39.2b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	63.2b	(.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)))))
	53.0b	(.f64 (/.f64 c0 (.f64 2 w)) (sqrt.f64 (neg.f64 (*.f64 M M))))
	61.2b	(.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)))))

Compiler

Compiled 2998 to 1257 computations (58.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (.f64 D D) h)
15.8b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
16.4b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
24.3b	(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))))

rewrite223.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

Rules

168×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
108×	`prod-exp_binary64` `cbrt-unprod_binary64`
31×	`pow1_binary64`
24×	`div-exp_binary64` `cbrt-undiv_binary64`
18×	`pow-prod-down_binary64`

Counts

4 → 129

Calls

4 calls:

19.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)
5.0ms	(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 4767 to 1051 computations (78% saved)

series349.0ms (2.4%)

Error

30.0b

Counts

4 → 51

Calls

4 calls:

157.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
121.0ms	(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))))
41.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
21.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3109 to 2295 computations (26.2% saved)

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

600×	`times-frac_binary64`
503×	`associate-/l/_binary64`
471×	`associate-/r/_binary64`
338×	`associate-r_binary64`
311×	`associate-l_binary64`

Counts

180 → 140

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	226	5616
1	497	4069
2	2719	4069
3	5205	4069

prune70.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	140	9	149

Error

30.1b

Counts

149 → 9

Alt Table

Status	Error	Program
	36.7b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (/.f64 w c0)) (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d))))
✓	60.5b	(.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)))))
	61.2b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	43.2b	(.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)))
	39.2b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
▶	35.1b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d)))))
	63.2b	(.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)))))
	61.2b	(.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)))))

Compiler

Compiled 1875 to 665 computations (64.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (.f64 D D) h)
15.6b	(pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d))))
16.4b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
18.7b	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))

rewrite165.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

Rules

31×	`pow1_binary64` `add-exp-log_binary64`
30×	`add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
13×	`unpow-prod-down_binary64`
11×	`add-sqr-sqrt_binary64`

Counts

4 → 91

Calls

4 calls:

10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
7.0ms	(pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d))))
6.0ms	(.f64 (.f64 D D) h)
4.0ms	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))

Compiler

Compiled 3083 to 1052 computations (65.9% saved)

series392.0ms (2.7%)

Error

30.0b

Counts

4 → 48

Calls

4 calls:

218.0ms	(pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d))))
94.0ms	(pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w))
42.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
22.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3190 to 2373 computations (25.6% saved)

simplify151.0ms (1%)

Algorithm

1×	egg-herbie

Rules

474×	`exp-prod_binary64`
460×	`associate-/r*_binary64`
407×	`log-pow_binary64`
279×	`associate-*r/_binary64`
266×	`associate-r_binary64`

Counts

139 → 95

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	3578
1	387	3274
2	1586	3247
3	4089	3054
4	4943	3054
5	5089	3054

prune71.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	95	9	104

Error

30.1b

Counts

104 → 9

Alt Table

Status	Error	Program
	36.7b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (/.f64 w c0)) (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d))))
	60.5b	(.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)))))
	61.2b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h))))) (cbrt.f64 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) 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)))))
	59.6b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 2 (/.f64 (.f64 (.f64 d d) c0) (.f64 w (.f64 (.f64 D D) h)))))
	43.2b	(.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)))
	39.2b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
	35.1b	(log.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 1/4 (/.f64 c0 w))) (.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) w)) (/.f64 1 (.f64 c0 (.f64 d d)))))
	63.2b	(.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)))))
	61.2b	(.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)))))

Compiler

Compiled 1666 to 708 computations (57.5% saved)

regimes2.0s (13.5%)

Accuracy

Total 3.9b remaining (12.8%)

Threshold costs 0b (0%)

Compiler

Compiled 43486 to 26757 computations (38.5% saved)

bsearch6.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`if-if-or-not_binary64` `1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	57
1	35	57
2	34	57

end1.0ms (0%)

Compiler: Compiled 44 to 27 computations (38.6% saved)

sample5.6s (38.4%)

Algorithm

1×

intervals

Results

1.0s	2102×	body	4096	valid
946.0ms	12119×	body	128	nan
759.0ms	1197×	body	8192	valid
501.0ms	1244×	body	2048	valid
331.0ms	4121×	body	128	invalid
206.0ms	628×	body	1024	valid
197.0ms	2381×	body	128	valid
67.0ms	295×	body	512	valid
26.0ms	77×	body	1024	invalid
24.0ms	153×	body	256	valid
23.0ms	60×	body	2048	invalid
12.0ms	52×	body	512	invalid
5.0ms	10×	body	4096	invalid
4.0ms	24×	body	256	invalid
3.0ms	5×	body	8192	exit

Compiler

Compiled 516 to 251 computations (51.4% saved)

Details

analyze2.0s (13.6%)

sample407.0ms (2.8%)

simplify45.0ms (0.3%)

prune10.0ms (0.1%)

localize21.0ms (0.1%)

rewrite483.0ms (3.3%)

series507.0ms (3.5%)

simplify188.0ms (1.3%)

prune100.0ms (0.7%)

localize17.0ms (0.1%)

rewrite793.0ms (5.5%)

series373.0ms (2.6%)

simplify322.0ms (2.2%)

prune140.0ms (1%)

localize21.0ms (0.1%)

rewrite223.0ms (1.5%)

series349.0ms (2.4%)

simplify133.0ms (0.9%)

prune70.0ms (0.5%)

localize20.0ms (0.1%)

rewrite165.0ms (1.1%)

series392.0ms (2.7%)

simplify151.0ms (1%)

prune71.0ms (0.5%)

regimes2.0s (13.5%)

bsearch6.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample5.6s (38.4%)

Profiling