Details

analyze5.6s (25.5%)

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)

sample122.0ms (0.6%)

Algorithm

1×

intervals

Results

42.0ms	256×	body	128	valid
17.0ms	113×	body	128	nan
6.0ms	37×	body	128	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify55.0ms (0.3%)

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

13.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.8b	(.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)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
✓	3.8b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
✓	6.3b	(/.f64 (.f64 M D) (.f64 2 d))
✓	9.7b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series1.4s (6.5%)

Counts

4 → 204

Calls

4 calls:

631.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
432.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
336.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
31.0ms	(/.f64 (.f64 M D) (.f64 2 d))

rewrite74.0ms (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:

17.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
12.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
8.0ms	(/.f64 (.f64 M D) (.f64 2 d))
7.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

simplify317.0ms (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

prune781.0ms (3.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	299	15	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	300	15	315

Error

3.4b

Counts

315 → 15

Alt Table

Status	Error	Program
	13.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 1 (/.f64 (.f64 2 d) (.f64 M D))) 2) (/.f64 h l)))))
	17.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (cbrt.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2) (/.f64 h l)) 3)))))
	62.2b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4))))
▶	10.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) l))))
	58.1b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	38.6b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 w0) (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))))
	13.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	18.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
	25.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	61.2b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	61.2b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	13.1b	(.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))))))
	59.0b	(.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)))
	15.0b	w0

Compiler

Compiled 12370 to 7489 computations (39.5% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)))
✓	3.9b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)
✓	5.1b	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)
	6.3b	(/.f64 (.f64 M D) (.f64 2 d))

series1.1s (4.9%)

Counts

3 → 156

Calls

3 calls:

457.0ms	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)
339.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)))
267.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)

rewrite50.0ms (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:

13.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)))
13.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)
11.0ms	(/.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) l)

simplify284.0ms (1.3%)

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

prune698.0ms (3.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	224	5	229
Fresh	4	10	14
Picked	1	0	1
Done	0	0	0
Total	229	15	244

Error

2.4b

Counts

244 → 15

Alt Table

Status	Error	Program
	61.2b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	24.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M 2) 2) (*.f64 (pow.f64 (/.f64 D d) 2) h)) l))))
	15.0b	w0
	10.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l))))
▶	9.6b	(.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))))
	58.1b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	38.6b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 w0) (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))))
	62.2b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4))))
	13.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	25.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	61.2b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	10.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 1 (/.f64 (.f64 2 d) (.f64 M D))) 2) h) l))))
	59.0b	(.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)))
	12.3b	(.f64 w0 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) l))) 3)))

Compiler

Compiled 8177 to 5213 computations (36.2% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) l)))
✓	3.9b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)
✓	5.1b	(/.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (.f64 2 d)) h)) l)
	6.3b	(/.f64 (.f64 M D) (.f64 2 d))

series839.0ms (3.8%)

Counts

3 → 156

Calls

3 calls:

412.0ms

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

374.0ms

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

52.0ms

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

rewrite124.0ms (0.6%)

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:

26.0ms

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

14.0ms

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

11.0ms

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

simplify353.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

291 → 252

Iterations

Useful iterations: 2 (0.0ms)

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

prune813.0ms (3.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	330	0	330
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	330	15	345

Error

2.4b

Counts

345 → 15

Alt Table

Status	Error	Program
	61.2b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	24.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M 2) 2) (*.f64 (pow.f64 (/.f64 D d) 2) h)) l))))
	15.0b	w0
▶	10.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l))))
✓	9.6b	(.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))))
	58.1b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	38.6b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 w0) (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))))
	62.2b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4))))
	13.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	25.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	61.2b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	10.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 1 (/.f64 (.f64 2 d) (.f64 M D))) 2) h) l))))
	59.0b	(.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)))
	12.3b	(.f64 w0 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) l))) 3)))

Compiler

Compiled 13412 to 7372 computations (45% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l)))
✓	3.9b	(*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h)
✓	4.5b	(/.f64 M (/.f64 2 (/.f64 D d)))
✓	5.1b	(/.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l)

series1.0s (4.8%)

Counts

4 → 192

Calls

4 calls:

419.0ms	(/.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l)
327.0ms	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l)))
263.0ms	(*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h)
31.0ms	(/.f64 M (/.f64 2 (/.f64 D d)))

rewrite289.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

735×	`times-frac_binary64`
366×	`add-sqr-sqrt_binary64`
347×	`*-un-lft-identity_binary64`
344×	`add-cube-cbrt_binary64`
142×	`associate-l_binary64`

Counts

4 → 415

Calls

4 calls:

75.0ms	(*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h)
43.0ms	(/.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l)
17.0ms	(/.f64 M (/.f64 2 (/.f64 D d)))
13.0ms	(sqrt.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (/.f64 M (/.f64 2 (/.f64 D d))) 2) h) l)))

simplify652.0ms (3%)

Algorithm

1×	egg-herbie

Rules

542×	`associate-/r/_binary64`
406×	`associate-/l/_binary64`
335×	`associate-/l*_binary64`
296×	`sqr-pow_binary64`
264×	`times-frac_binary64`

Counts

607 → 766

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	980	15547
1	2379	14776
2	4828	14772
3	4996	14772

prune2.1s (9.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	762	4	766
Fresh	4	9	13
Picked	1	0	1
Done	0	1	1
Total	767	14	781

Error

1.9b

Counts

781 → 14

Alt Table

Status	Error	Program
	61.2b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	24.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (/.f64 M 2) 2) (*.f64 (pow.f64 (/.f64 D d) 2) h)) l))))
	15.0b	w0
✓	9.6b	(.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))))
	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 D (/.f64 M (.f64 2 d))) 2) h) l))))
	58.1b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	38.6b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 w0) (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))))
	61.7b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 M d) 2)) -1/4)) (neg.f64 D)))
	59.0b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 M d) 2)) -1/4))))
	25.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
	61.2b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	10.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 M (/.f64 D d))) 2) h) l))))
	59.0b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	12.3b	(.f64 w0 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) l))) 3)))

Compiler

Compiled 25781 to 15121 computations (41.3% saved)

regimes2.7s (12.4%)

Accuracy

Total 4.0b remaining (52.6%)

Threshold costs 0b (0%)

Counts

98 → 3

Compiler

Compiled 43773 to 32294 computations (26.2% saved)

bsearch5.0ms (0%)

Compiler: Compiled 22 to 17 computations (22.7% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

31×	`*-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	150
1	77	150
2	108	150
3	140	150
4	168	150
5	187	150
6	195	150
7	198	150
8	199	150
9	198	150

end10.0ms (0%)

Compiler: Compiled 315 to 201 computations (36.2% saved)

sample2.4s (10.9%)

Algorithm

1×

intervals

Results

777.0ms	8000×	body	128	valid
304.0ms	3115×	body	128	nan
126.0ms	1334×	body	128	invalid

Compiler

Compiled 468 to 336 computations (28.2% saved)

Iter	Nodes	Cost
0	46	150
1	77	150
2	108	150
3	140	150
4	168	150
5	187	150
6	195	150
7	198	150
8	199	150
9	198	150

Iter	Nodes	Cost
0	46	150
1	77	150
2	108	150
3	140	150
4	168	150
5	187	150
6	195	150
7	198	150
8	199	150
9	198	150

Details

analyze5.6s (25.5%)

sample122.0ms (0.6%)

simplify55.0ms (0.3%)

prune4.0ms (0%)

localize25.0ms (0.1%)

series1.4s (6.5%)

rewrite74.0ms (0.3%)

simplify317.0ms (1.4%)

prune781.0ms (3.6%)

localize26.0ms (0.1%)

series1.1s (4.9%)

rewrite50.0ms (0.2%)

simplify284.0ms (1.3%)

prune698.0ms (3.2%)

localize27.0ms (0.1%)

series839.0ms (3.8%)

rewrite124.0ms (0.6%)

simplify353.0ms (1.6%)

prune813.0ms (3.7%)

localize24.0ms (0.1%)

series1.0s (4.8%)

rewrite289.0ms (1.3%)

simplify652.0ms (3%)

prune2.1s (9.4%)

regimes2.7s (12.4%)

bsearch5.0ms (0%)

simplify10.0ms (0%)

end10.0ms (0%)

sample2.4s (10.9%)

Profiling

Iter	Nodes	Cost
0	46	150
1	77	150
2	108	150
3	140	150
4	168	150
5	187	150
6	195	150
7	198	150
8	199	150
9	198	150