Details

analyze3.0s (19.6%)

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

Compiler

Compiled 25 to 19 computations (24% saved)

sample107.0ms (0.7%)

Algorithm

1×

intervals

Symmetry

(sort M D)

Results

24.0ms	256×	body	128	valid
10.0ms	97×	body	128	nan
4.0ms	42×	body	128	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify26.0ms (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

prune4.0ms (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

16.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.4b	(.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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
✓	5.0b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
✓	6.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	11.8b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series869.0ms (5.6%)

Counts

4 → 204

Calls

4 calls:

370.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
254.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
230.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
15.0ms	(/.f64 (.f64 M D) (.f64 2 d))

rewrite34.0ms (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:

10.0ms	(.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))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

simplify170.0ms (1.1%)

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

prune387.0ms (2.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	300	14	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	301	14	315

Error

3.2b

Counts

315 → 14

Alt Table

Status	Error	Program
	14.3b	(.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))))))
	15.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	52.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 D M) (.f64 2 d)) (/.f64 (sqrt.f64 h) (sqrt.f64 l))) (.f64 (/.f64 (.f64 D M) (.f64 2 d)) (/.f64 (sqrt.f64 h) (sqrt.f64 l)))))))
	40.3b	(.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)))))))
	59.8b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	20.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) 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)))
▶	11.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l)))))
	58.3b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	60.5b	(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M)))
	24.7b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l))))
	14.2b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	16.4b	(.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))))))

Compiler

Compiled 12424 to 7505 computations (39.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))
✓	5.0b	(sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))))
	6.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	7.1b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)

series580.0ms (3.8%)

Counts

3 → 156

Calls

3 calls:

243.0ms

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

180.0ms

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

158.0ms

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

rewrite32.0ms (0.2%)

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:

8.0ms

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

6.0ms

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

5.0ms

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

simplify193.0ms (1.2%)

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

prune436.0ms (2.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	259	2	261
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	261	14	275

Error

2.7b

Counts

275 → 14

Alt Table

Status	Error	Program
	11.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) (/.f64 1 l)))))
	15.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	14.3b	(.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))))))
	59.8b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	20.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	24.7b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l))))
▶	9.7b	(.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)))))
	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)))
	40.3b	(.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)))))))
	58.3b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	60.5b	(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M)))
	14.2b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	16.4b	(.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))))))

Compiler

Compiled 9404 to 6094 computations (35.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))
✓	5.0b	(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))))
	6.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	7.8b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)

series483.0ms (3.1%)

Counts

3 → 156

Calls

3 calls:

280.0ms

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

175.0ms

(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))))

28.0ms

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

rewrite139.0ms (0.9%)

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:

22.0ms

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

8.0ms

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

6.0ms

(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))))

simplify300.0ms (1.9%)

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

prune650.0ms (4.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	454	2	456
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	455	15	470

Error

2.7b

Counts

470 → 15

Alt Table

Status	Error	Program
	11.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) (/.f64 1 l)))))
	15.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	14.3b	(.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))))))
▶	9.7b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))) (cbrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))))))
	59.8b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	20.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) 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)))
	58.3b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	24.7b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l))))
✓	9.7b	(.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)))))
	40.3b	(.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)))))))
	60.5b	(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M)))
	14.2b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	16.4b	(.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))))))

Compiler

Compiled 19468 to 10648 computations (45.3% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.7b	(.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))
	6.8b	(/.f64 (.f64 M D) (.f64 2 d))
✓	7.0b	(cbrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))))
	7.8b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)

series276.0ms (1.8%)

Counts

1 → 60

Calls

1 calls:

276.0ms

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

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cbrt-prod_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`cbrt-div_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 15

Calls

1 calls:

5.0ms

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

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-/l*_binary64`
521×	`associate-/r*_binary64`
418×	`associate-r_binary64`
268×	`associate-*r/_binary64`
239×	`associate-l_binary64`

Counts

75 → 104

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	399	6635
1	1216	6507
2	5370	6507

prune3.1s (20.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1434	0	1434
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	1434	15	1449

Error

2.7b

Counts

1449 → 15

Alt Table

Status	Error	Program
	11.7b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) (/.f64 1 l)))))
	15.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	14.3b	(.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))))))
✓	9.7b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))) (cbrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) (/.f64 1 l)))))))
	59.8b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	20.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) 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)))
	58.3b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	24.7b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) l))))
✓	9.7b	(.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)))))
	40.3b	(.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)))))))
	60.5b	(.f64 -1 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) h) (.f64 (pow.f64 d 2) l))))) (.f64 w0 M)))
	14.2b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	16.4b	(.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))))))

Compiler

Compiled 142347 to 83581 computations (41.3% saved)

regimes2.1s (13.6%)

Accuracy

Total 4.7b remaining (53.7%)

Threshold costs 0b (0%)

Counts

100 → 3

Compiler

Compiled 64000 to 45135 computations (29.5% saved)

bsearch5.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
20×	`+-commutative_binary64`
20×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	152
1	77	152
2	112	152
3	153	152
4	183	152
5	197	152
6	201	152
7	200	152

end11.0ms (0.1%)

Compiler: Compiled 321 to 195 computations (39.3% saved)

sample2.3s (14.9%)

Algorithm

1×

intervals

Results

794.0ms	8000×	body	128	valid
296.0ms	3179×	body	128	nan
145.0ms	1369×	body	128	invalid

Compiler

Compiled 603 to 415 computations (31.2% saved)

Details

analyze3.0s (19.6%)

sample107.0ms (0.7%)

simplify26.0ms (0.2%)

prune4.0ms (0%)

localize13.0ms (0.1%)

series869.0ms (5.6%)

rewrite34.0ms (0.2%)

simplify170.0ms (1.1%)

prune387.0ms (2.5%)

localize18.0ms (0.1%)

series580.0ms (3.8%)

rewrite32.0ms (0.2%)

simplify193.0ms (1.2%)

prune436.0ms (2.8%)

localize15.0ms (0.1%)

series483.0ms (3.1%)

rewrite139.0ms (0.9%)

simplify300.0ms (1.9%)

prune650.0ms (4.2%)

localize23.0ms (0.1%)

series276.0ms (1.8%)

rewrite6.0ms (0%)

simplify127.0ms (0.8%)

prune3.1s (20.1%)

regimes2.1s (13.6%)

bsearch5.0ms (0%)

simplify7.0ms (0%)

end11.0ms (0.1%)

sample2.3s (14.9%)

Profiling