Details

analyze2.8s (20.2%)

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
4.3%	95.4%	0.3%	13
6.6%	93.1%	0.3%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample2.3s (16.9%)

Symmetry

(sort M D)

Results

1.5s	8256×	body	128	valid
769.0ms	4537×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% 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

14.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.2b	(.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
✓	1.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
✓	4.5b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
✓	6.1b	(/.f64 (.f64 M D) (.f64 2 d))
✓	11.7b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series766.0ms (5.5%)

Counts

4 → 204

Calls

4 calls:

345.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
223.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
183.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
14.0ms	(/.f64 (.f64 M D) (.f64 2 d))

rewrite33.0ms (0.2%)

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:

9.0ms	(.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	(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))

simplify170.0ms (1.2%)

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

prune410.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	302	12	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	303	12	315

Error

4.6b

Counts

315 → 12

Alt Table

Status	Error	Program
▶	9.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) l))))
	22.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	61.4b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	14.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 M (/.f64 (*.f64 2 d) D)) 2) (/.f64 h l)))))
	12.6b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	60.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	60.9b	(.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)))
	14.2b	(.f64 (.f64 w0 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))
	55.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (.f64 M D) (.f64 2 d))) 2) (-.f64 (log.f64 h) (log.f64 l)))))))
	60.2b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	10.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 (.f64 (cbrt.f64 h) (cbrt.f64 h)) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (cbrt.f64 h) (cbrt.f64 l))))))

Compiler

Compiled 12268 to 7403 computations (39.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)))
✓	4.5b	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)
✓	5.4b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)
	6.1b	(/.f64 (.f64 M D) (.f64 2 d))

series565.0ms (4.1%)

Counts

3 → 156

Calls

3 calls:

245.0ms	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)
171.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)))
149.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log_binary64`
22×	`prod-exp_binary64`
19×	`add-sqr-sqrt_binary64`
16×	`div-exp_binary64`
12×	`*-un-lft-identity_binary64`

Counts

3 → 84

Calls

3 calls:

9.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)))
7.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)
5.0ms	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)

simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

315×	`fma-def_binary64`
298×	`unswap-sqr_binary64`
288×	`distribute-neg-frac_binary64`
241×	`cancel-sign-sub-inv_binary64`
191×	`times-frac_binary64`

Counts

240 → 190

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	7367
1	764	6748
2	2985	6661
3	4995	6661

prune335.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	227	2	229
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	230	11	241

Error

4.4b

Counts

241 → 11

Alt Table

Status	Error	Program
	60.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
▶	9.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) l))))
	12.6b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	9.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (*.f64 2 d) D)) 2) h) l))))
	60.9b	(.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)))
	22.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	14.2b	(.f64 (.f64 w0 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))
	61.4b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	60.2b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	10.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 (.f64 (cbrt.f64 h) (cbrt.f64 h)) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (cbrt.f64 h) (cbrt.f64 l))))))

Compiler

Compiled 8031 to 5087 computations (36.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) l)))
✓	4.5b	(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) l)
	6.1b	(/.f64 (.f64 M D) (.f64 2 d))
✓	7.2b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)

series428.0ms (3.1%)

Counts

3 → 156

Calls

3 calls:

228.0ms

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

172.0ms

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

27.0ms

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

rewrite63.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

226×	`add-cbrt-cube_binary64`
226×	`add-exp-log_binary64`
108×	`cbrt-unprod_binary64`
108×	`prod-exp_binary64`
79×	`cbrt-undiv_binary64`

Counts

3 → 135

Calls

3 calls:

15.0ms

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

8.0ms

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

6.0ms

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

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-/l*_binary64`
484×	`associate-l_binary64`
455×	`associate-/r*_binary64`
414×	`associate-*l/_binary64`
390×	`associate-*r/_binary64`

Counts

291 → 254

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	9762
1	1205	8761
2	4703	8697
3	4996	8697

prune423.0ms (3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	329	3	332
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	330	13	343

Error

3.9b

Counts

343 → 13

Alt Table

Status	Error	Program
	60.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
✓	9.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) l))))
	12.6b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
▶	9.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (*.f64 2 d) D)) 2) h) l))))
	60.9b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 h (.f64 D D)) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	13.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) l))))))
	60.6b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) (.f64 l (*.f64 d d))) -1/4))))
	22.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	14.2b	(.f64 (.f64 w0 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))
	61.4b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	60.2b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	10.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 (.f64 (cbrt.f64 h) (cbrt.f64 h)) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (cbrt.f64 h) (cbrt.f64 l))))))

Compiler

Compiled 13422 to 7312 computations (45.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h) l)))
✓	4.5b	(/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h) l)
✓	5.4b	(.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h)
✓	5.7b	(/.f64 M (/.f64 (*.f64 2 d) D))

series540.0ms (3.9%)

Counts

4 → 192

Calls

4 calls:

227.0ms	(/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h) l)
159.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h) l)))
139.0ms	(.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h)
14.0ms	(/.f64 M (/.f64 (*.f64 2 d) D))

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`times-frac_binary64`
55×	`add-exp-log_binary64`
52×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
39×	`add-cube-cbrt_binary64`

Counts

4 → 154

Calls

4 calls:

11.0ms	(/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h) l)
9.0ms	(.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h)
6.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 (.f64 2 d) D)) 2) h) l)))
4.0ms	(/.f64 M (/.f64 (*.f64 2 d) D))

simplify229.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

313×	`fma-def_binary64`
271×	`times-frac_binary64`
263×	`associate-/l*_binary64`
259×	`associate-r_binary64`
227×	`associate-l_binary64`

Counts

346 → 316

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	8921
1	1082	8282
2	4186	8234
3	4977	8234
4	4989	8234

prune465.0ms (3.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	316	13	329

Error

3.4b

Counts

329 → 13

Alt Table

Status	Error	Program
	60.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
✓	9.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) l))))
	7.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (/.f64 M (/.f64 (.f64 2 d) D)) (.f64 (/.f64 M (/.f64 (*.f64 2 d) D)) h)) l))))
	13.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) l))))))
	12.6b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	60.5b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 h (pow.f64 (.f64 D M) 2)) l) -1/4)) d))
	60.9b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 h (.f64 D D)) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	60.6b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 M (.f64 M h)) (.f64 l (*.f64 d d))) -1/4))))
	22.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	14.2b	(.f64 (.f64 w0 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))
	61.4b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	10.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 (.f64 (cbrt.f64 h) (cbrt.f64 h)) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (cbrt.f64 h) (cbrt.f64 l))))))

Compiler

Compiled 10309 to 6602 computations (36% saved)

regimes3.6s (26%)

Accuracy

Total 3.4b remaining (39.8%)

Threshold costs 0b (0%)

Counts

219 → 3

Compiler

Compiled 96995 to 71851 computations (25.9% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
11×	`+-commutative_binary64`
11×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	135
1	49	135
2	63	135
3	81	135
4	100	135
5	110	135
6	115	135
7	116	135
8	115	135

end208.0ms (1.5%)

Remove: (sort M D)
Compiler: Compiled 732 to 497 computations (32.1% saved)

Details

analyze2.8s (20.2%)

sample2.3s (16.9%)

simplify28.0ms (0.2%)

prune2.0ms (0%)

localize12.0ms (0.1%)

series766.0ms (5.5%)

rewrite33.0ms (0.2%)

simplify170.0ms (1.2%)

prune410.0ms (2.9%)

localize14.0ms (0.1%)

series565.0ms (4.1%)

rewrite27.0ms (0.2%)

simplify147.0ms (1.1%)

prune335.0ms (2.4%)

localize14.0ms (0.1%)

series428.0ms (3.1%)

rewrite63.0ms (0.5%)

simplify192.0ms (1.4%)

prune423.0ms (3%)

localize12.0ms (0.1%)

series540.0ms (3.9%)

rewrite43.0ms (0.3%)

simplify229.0ms (1.6%)

prune465.0ms (3.3%)

regimes3.6s (26%)

bsearch9.0ms (0.1%)

simplify7.0ms (0%)

end208.0ms (1.5%)

Profiling