Details

analyze3.0s (22.9%)

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
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample115.0ms (0.9%)

Algorithm

1×

intervals

Symmetry

(sort M D)

Results

27.0ms	256×	body	128	valid
13.0ms	123×	body	128	nan
3.0ms	37×	body	128	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-neg-frac_binary64`
581×	`distribute-rgt-neg-in_binary64`
418×	`associate-/l*_binary64`
372×	`cancel-sign-sub-inv_binary64`
263×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	42	27
2	111	27
3	723	27
4	2855	27
5	4994	27

prune2.0ms (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

14.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))

Compiler

Compiled 72 to 54 computations (25% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
✓	4.7b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
✓	4.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	10.0b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series848.0ms (6.5%)

Counts

4 → 204

Calls

4 calls:

335.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
293.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
202.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
17.0ms	(/.f64 (.f64 M D) (.f64 2 d))

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-exp-log_binary64`
38×	`add-sqr-sqrt_binary64`
27×	`prod-exp_binary64`
23×	`add-cbrt-cube_binary64`
19×	`associate-r_binary64`

Counts

4 → 124

Calls

4 calls:

12.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
6.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
4.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

simplify177.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

517×	`times-frac_binary64`
399×	`associate-l_binary64`
365×	`associate-/l*_binary64`
342×	`associate-/r*_binary64`
258×	`associate-*r/_binary64`

Counts

328 → 314

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	516	11209
1	1262	10441
2	4988	10441

prune424.0ms (3.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	301	13	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	13	315

Error

6.7b

Counts

315 → 13

Alt Table

Status	Error	Program
	14.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (.f64 (cbrt.f64 (/.f64 h l)) (cbrt.f64 (/.f64 h l)))) (cbrt.f64 (/.f64 h l))))))
	60.5b	(neg.f64 (fma.f64 1/2 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (*.f64 M w0))))
	15.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
▶	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l)))))
	61.4b	(neg.f64 (+.f64 (.f64 1/2 (/.f64 w0 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 l (pow.f64 d 2)))))) M))) (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M))))
	37.3b	(.f64 (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l)))))))
	61.8b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))))))
	15.7b	w0
	60.9b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	60.3b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
	27.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) 2) (.f64 (/.f64 (.f64 D M) (*.f64 2 d)) (/.f64 h l))))))
	60.6b	(.f64 w0 (.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 l (pow.f64 d 2)))))) M)))

Compiler

Compiled 12418 to 7497 computations (39.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))
✓	4.7b	(sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))))
	4.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	5.6b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)

series563.0ms (4.3%)

Counts

3 → 156

Calls

3 calls:

241.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l))

174.0ms

(sqrt.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l))))

147.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2) h)

rewrite74.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`add-exp-log_binary64`
87×	`prod-exp_binary64`
36×	`div-exp_binary64`
25×	`pow-exp_binary64`
21×	`add-sqr-sqrt_binary64`

Counts

3 → 115

Calls

3 calls:

46.0ms

(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2) h)

9.0ms

(*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l))

4.0ms

(sqrt.f64 (-.f64 1 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l))))

simplify192.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

575×	`fma-def_binary64`
322×	`unswap-sqr_binary64`
296×	`cancel-sign-sub-inv_binary64`
255×	`associate-l_binary64`
241×	`associate-r_binary64`

Counts

271 → 222

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	7915
1	795	7298
2	3026	7215
3	4877	7215
4	4990	7215

prune385.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	259	2	261
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	263	11	274

Error

5.8b

Counts

274 → 11

Alt Table

Status	Error	Program
	60.5b	(neg.f64 (fma.f64 1/2 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (*.f64 M w0))))
	15.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	37.3b	(.f64 (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l)))))))
▶	10.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))))
	61.4b	(neg.f64 (+.f64 (.f64 1/2 (/.f64 w0 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 l (pow.f64 d 2)))))) M))) (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M))))
	61.8b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))))))
	15.7b	w0
	25.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) 2) (.f64 h (/.f64 (.f64 D M) (.f64 2 d)))) (/.f64 1 l)))))
	60.3b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
	60.6b	(.f64 w0 (.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 l (pow.f64 d 2)))))) M)))

Compiler

Compiled 9308 to 6022 computations (35.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))
✓	4.7b	(sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))))
	4.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	5.9b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)

series452.0ms (3.5%)

Counts

3 → 156

Calls

3 calls:

237.0ms

(*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))

184.0ms

(sqrt.f64 (-.f64 1 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))))

31.0ms

(*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) h)

rewrite144.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

872×	`add-exp-log_binary64`
529×	`prod-exp_binary64`
462×	`add-cbrt-cube_binary64`
269×	`cbrt-unprod_binary64`
242×	`div-exp_binary64`

Counts

3 → 269

Calls

3 calls:

20.0ms

(*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))

9.0ms

(sqrt.f64 (-.f64 1 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) (*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))))

6.0ms

(*.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) h)

simplify304.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-*l/_binary64`
514×	`times-frac_binary64`
383×	`associate-/r*_binary64`
311×	`associate-/l*_binary64`
279×	`sqr-pow_binary64`

Counts

425 → 378

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	564	12888
1	1402	11707
2	4269	11456
3	3823	10988
4	5189	10988

prune548.0ms (4.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	453	3	456
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	455	12	467

Error

5.8b

Counts

467 → 12

Alt Table

Status	Error	Program
	60.5b	(neg.f64 (fma.f64 1/2 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (*.f64 M w0))))
	15.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	37.3b	(.f64 (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l)))))))
✓	10.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))))
	61.8b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) 1) (.f64 (*.f64 2 d) l)))))
	13.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))))))
	60.6b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 h (.f64 D D)) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	61.4b	(neg.f64 (+.f64 (.f64 1/2 (/.f64 w0 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 l (pow.f64 d 2)))))) M))) (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M))))
	15.7b	w0
	60.3b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
▶	11.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 (.f64 (.f64 M D) h) (.f64 2 d))) (/.f64 1 l)))))

Compiler

Compiled 19262 to 10504 computations (45.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 (.f64 (.f64 M D) h) (*.f64 2 d))) (/.f64 1 l))))
	4.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	5.7b	(/.f64 (.f64 (.f64 M D) h) (*.f64 2 d))
✓	6.6b	(.f64 (.f64 M D) h)

series219.0ms (1.7%)

Counts

3 → 132

Calls

3 calls:

176.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 (.f64 (.f64 M D) h) (*.f64 2 d))) (/.f64 1 l))))
31.0ms	(/.f64 (.f64 (.f64 M D) h) (*.f64 2 d))
11.0ms	(.f64 (.f64 M D) h)

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-cbrt-cube_binary64`
29×	`add-exp-log_binary64`
12×	`cbrt-unprod_binary64`
12×	`prod-exp_binary64`
9×	`pow1_binary64`

Counts

3 → 64

Calls

3 calls:

10.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 (.f64 (.f64 M D) h) (*.f64 2 d))) (/.f64 1 l))))
6.0ms	(/.f64 (.f64 (.f64 M D) h) (*.f64 2 d))
4.0ms	(.f64 (.f64 M D) h)

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

418×	`times-frac_binary64`
414×	`fma-def_binary64`
307×	`unswap-sqr_binary64`
296×	`associate-r_binary64`
276×	`associate-l_binary64`

Counts

196 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	5285
1	796	4918
2	3836	4872
3	5209	4872

prune265.0ms (2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	194	12	206

Error

5.8b

Counts

206 → 12

Alt Table

Status	Error	Program
	60.5b	(neg.f64 (fma.f64 1/2 (/.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)))) (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (*.f64 M w0))))
	15.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	37.3b	(.f64 (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l)))))))
✓	10.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))))
	61.8b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (.f64 (.f64 M D) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) 1) (.f64 (*.f64 2 d) l)))))
	13.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) (/.f64 h l))))))
	60.6b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 h (.f64 D D)) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	61.4b	(neg.f64 (+.f64 (.f64 1/2 (/.f64 w0 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 l (pow.f64 d 2)))))) M))) (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M))))
	15.7b	w0
	60.3b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
✓	11.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 (.f64 (.f64 M D) h) (.f64 2 d))) (/.f64 1 l)))))

Compiler

Compiled 8052 to 4602 computations (42.8% saved)

regimes2.8s (21.3%)

Accuracy

Total 3.4b remaining (43.1%)

Threshold costs 0b (0%)

Counts

154 → 3

Compiler

Compiled 70727 to 52253 computations (26.1% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

31×	`*-commutative_binary64`
18×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	140
1	80	140
2	115	140
3	151	140
4	177	140
5	188	140
6	192	140
7	193	140
8	191	140

end8.0ms (0.1%)

Compiler: Compiled 297 to 183 computations (38.4% saved)

sample2.3s (17.5%)

Algorithm

1×

intervals

Results

815.0ms	8000×	body	128	valid
352.0ms	3088×	body	128	nan
138.0ms	1317×	body	128	invalid

Compiler

Compiled 492 to 339 computations (31.1% saved)

Iter	Nodes	Cost
0	45	140
1	80	140
2	115	140
3	151	140
4	177	140
5	188	140
6	192	140
7	193	140
8	191	140

Iter	Nodes	Cost
0	45	140
1	80	140
2	115	140
3	151	140
4	177	140
5	188	140
6	192	140
7	193	140
8	191	140

Details

analyze3.0s (22.9%)

sample115.0ms (0.9%)

simplify28.0ms (0.2%)

prune2.0ms (0%)

localize12.0ms (0.1%)

series848.0ms (6.5%)

rewrite40.0ms (0.3%)

simplify177.0ms (1.4%)

prune424.0ms (3.2%)

localize15.0ms (0.1%)

series563.0ms (4.3%)

rewrite74.0ms (0.6%)

simplify192.0ms (1.5%)

prune385.0ms (2.9%)

localize15.0ms (0.1%)

series452.0ms (3.5%)

rewrite144.0ms (1.1%)

simplify304.0ms (2.3%)

prune548.0ms (4.2%)

localize16.0ms (0.1%)

series219.0ms (1.7%)

rewrite24.0ms (0.2%)

simplify114.0ms (0.9%)

prune265.0ms (2%)

regimes2.8s (21.3%)

bsearch8.0ms (0.1%)

simplify8.0ms (0.1%)

end8.0ms (0.1%)

sample2.3s (17.5%)

Profiling

Iter	Nodes	Cost
0	45	140
1	80	140
2	115	140
3	151	140
4	177	140
5	188	140
6	192	140
7	193	140
8	191	140