Details

analyze3.4s (29.3%)

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)

sample78.0ms (0.7%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
10.0ms	101×	body	128	nan
4.0ms	47×	body	128	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

893×	`div-sub_binary64`
645×	`distribute-neg-frac_binary64`
581×	`distribute-rgt-neg-in_binary64`
569×	`distribute-lft-neg-in_binary64`
418×	`associate-/l*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	42	27
2	111	27
3	718	27
4	2816	27
5	4688	27
6	6103	27

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

13.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))

Compiler

Compiled 48 to 36 computations (25% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
3.5b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
5.3b	(/.f64 (.f64 M D) (.f64 2 d))
9.7b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite194.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

8.6b

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 → 116

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)))))
5.0ms	(/.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))))

Compiler

Compiled 3232 to 1835 computations (43.2% saved)

series317.0ms (2.8%)

Error

7.4b

Counts

4 → 57

Calls

4 calls:

108.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
105.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
63.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
26.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3462 to 2639 computations (23.8% saved)

simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

647×	`associate-/l/_binary64`
277×	`associate-l_binary64`
259×	`distribute-rgt-neg-in_binary64`
252×	`associate-r_binary64`
252×	`times-frac_binary64`

Counts

173 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	3951
1	687	3629
2	2921	3628
3	5496	3628

prune200.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	11	138

Error

5.8b

Counts

138 → 11

Alt Table

Status	Error	Program
	35.1b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)))) (sqrt.f64 w0)))
	57.6b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 w0 (neg.f64 M)))
▶	11.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) (/.f64 1 l)))))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	58.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	19.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 1/4 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (*.f64 M M) h) l))))))
✓	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	60.6b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	15.3b	(.f64 w0 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)))) 3)))
	61.7b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	12.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 D M) (*.f64 2 d)) (/.f64 h l))))))

Compiler

Compiled 2617 to 1539 computations (41.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.5b	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))))
3.9b	(.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))
4.6b	(.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2))
5.3b	(/.f64 (.f64 D M) (.f64 2 d))

rewrite192.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

165×	`add-exp-log_binary64`
91×	`prod-exp_binary64`
40×	`div-exp_binary64`
30×	`add-cbrt-cube_binary64`
25×	`pow-exp_binary64`

Counts

4 → 130

Calls

4 calls:

9.0ms	(.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))
7.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))))
7.0ms	(.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2))
6.0ms	(/.f64 (.f64 D M) (.f64 2 d))

Compiler

Compiled 3580 to 2299 computations (35.8% saved)

series287.0ms (2.5%)

Error

5.8b

Counts

4 → 51

Calls

4 calls:

117.0ms	(.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))
68.0ms	(.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2))
64.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))))
26.0ms	(/.f64 (.f64 D M) (.f64 2 d))

Compiler

Compiled 3124 to 2431 computations (22.2% saved)

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

455×	`associate-/l/_binary64`
355×	`associate-/r/_binary64`
262×	`distribute-rgt-neg-in_binary64`
246×	`associate-l_binary64`
241×	`distribute-lft-neg-in_binary64`

Counts

181 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	3610
1	561	3415
2	2346	3409
3	5063	3409

prune124.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	147	13	160

Error

4.8b

Counts

160 → 13

Alt Table

Status	Error	Program
	58.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	11.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 d 2)) 2)) l))))
	60.6b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	60.9b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 D M) 2)) -1/4)) d))
	35.1b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)))) (sqrt.f64 w0)))
	57.6b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 w0 (neg.f64 M)))
	60.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 (*.f64 d d) l)) -1/4)) (neg.f64 M)))
▶	10.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (.f64 D M) (.f64 2 d))) (/.f64 1 l)))))
✓	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	11.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) (/.f64 1 l)))))
	61.7b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	12.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 D M) (*.f64 2 d)) (/.f64 h l))))))

Compiler

Compiled 2271 to 1472 computations (35.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (.f64 D M) (*.f64 2 d))) (/.f64 1 l))
5.3b	(/.f64 (.f64 D M) (.f64 2 d))
5.3b	(/.f64 (.f64 D M) (.f64 d 2))
5.5b	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))

rewrite423.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

897×	`add-exp-log_binary64`
537×	`prod-exp_binary64`
487×	`add-cbrt-cube_binary64`
277×	`cbrt-unprod_binary64`
250×	`div-exp_binary64`

Counts

4 → 290

Calls

4 calls:

20.0ms	(.f64 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (.f64 D M) (*.f64 2 d))) (/.f64 1 l))
7.0ms	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
6.0ms	(/.f64 (.f64 D M) (.f64 2 d))
5.0ms	(/.f64 (.f64 D M) (.f64 d 2))

Compiler

Compiled 11881 to 6178 computations (48% saved)

series205.0ms (1.8%)

Error

4.8b

Counts

4 → 45

Calls

4 calls:

101.0ms	(.f64 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (.f64 D M) (*.f64 2 d))) (/.f64 1 l))
42.0ms	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
26.0ms	(/.f64 (.f64 D M) (.f64 d 2))
25.0ms	(/.f64 (.f64 D M) (.f64 2 d))

Compiler

Compiled 2958 to 2136 computations (27.8% saved)

simplify332.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

593×	`associate-*l/_binary64`
586×	`associate-*r/_binary64`
482×	`times-frac_binary64`
433×	`*-commutative_binary64`
294×	`associate-/r*_binary64`

Counts

335 → 284

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	12137
1	986	7285
2	3782	7096
3	3414	7096
4	5021	7096

prune95.0ms (0.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	281	3	284
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	283	14	297

Error

4.6b

Counts

297 → 14

Alt Table

Status	Error	Program
✓	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	25.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 h)) (/.f64 (.f64 D M) d))) (/.f64 (.f64 D M) (.f64 2 d))) (/.f64 1 l)))))
	60.6b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	60.9b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 D M) 2)) -1/4)) d))
	35.1b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)))) (sqrt.f64 w0)))
	57.6b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 w0 (neg.f64 M)))
	60.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 (*.f64 d d) l)) -1/4)) (neg.f64 M)))
	15.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 l (.f64 d 2))) (.f64 d 2)))))
	58.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
✓	10.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (.f64 D M) (.f64 2 d))) (/.f64 1 l)))))
	11.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) (/.f64 1 l)))))
	61.7b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
▶	9.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (/.f64 (.f64 D M) (*.f64 d 2)) l)))))

Compiler

Compiled 2126 to 1247 computations (41.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.3b	(/.f64 (.f64 D M) (.f64 d 2))
5.3b	(/.f64 (.f64 D M) (.f64 d 2))
5.5b	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
5.8b	(/.f64 (/.f64 (.f64 D M) (.f64 d 2)) l)

rewrite195.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

64×	`add-cbrt-cube_binary64`
64×	`add-exp-log_binary64`
22×	`times-frac_binary64`
21×	`cbrt-unprod_binary64`
21×	`cbrt-undiv_binary64`

Counts

4 → 115

Calls

4 calls:

8.0ms	(/.f64 (/.f64 (.f64 D M) (.f64 d 2)) l)
7.0ms	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
6.0ms	(/.f64 (.f64 D M) (.f64 d 2))
6.0ms	(/.f64 (.f64 D M) (.f64 d 2))

Compiler

Compiled 3638 to 1939 computations (46.7% saved)

series145.0ms (1.3%)

Error

4.6b

Counts

4 → 42

Calls

4 calls:

42.0ms	(/.f64 (/.f64 (.f64 D M) (.f64 d 2)) l)
39.0ms	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
27.0ms	(/.f64 (.f64 D M) (.f64 d 2))
25.0ms	(/.f64 (.f64 D M) (.f64 d 2))

Compiler

Compiled 2670 to 1790 computations (33% saved)

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

934×	`associate-/r/_binary64`
579×	`*-commutative_binary64`
255×	`times-frac_binary64`
255×	`log-prod_binary64`
176×	`associate-/l*_binary64`

Counts

157 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	2791
1	428	2237
2	2024	2236
3	3562	2236
4	4969	2236
5	4997	2236
6	5024	2236

prune84.0ms (0.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	89	15	104

Error

4.6b

Counts

104 → 15

Alt Table

Status	Error	Program
	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	25.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 h)) (/.f64 (.f64 D M) d))) (/.f64 (.f64 D M) (.f64 2 d))) (/.f64 1 l)))))
	60.6b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	60.9b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (.f64 D M) 2)) -1/4)) d))
	35.1b	(.f64 (sqrt.f64 w0) (.f64 (sqrt.f64 (-.f64 1 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)))) (sqrt.f64 w0)))
	57.6b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 w0 (neg.f64 M)))
	60.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 (*.f64 d d) l)) -1/4)) (neg.f64 M)))
	15.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 l (.f64 d 2))) (.f64 d 2)))))
	58.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	10.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (.f64 D M) (.f64 2 d))) (/.f64 1 l)))))
	11.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (*.f64 h (pow.f64 (/.f64 D (/.f64 2 (/.f64 M d))) 2)) (/.f64 1 l)))))
	23.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 D M) (*.f64 d 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 D d)) (/.f64 M l))))))))
	61.7b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	9.6b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (/.f64 (.f64 D M) (.f64 d 2))) (/.f64 (/.f64 (.f64 D M) (*.f64 d 2)) l)))))

Compiler

Compiled 1563 to 898 computations (42.5% saved)

regimes2.0s (17.7%)

Accuracy

Total 3.8b remaining (49.9%)

Threshold costs 0b (0%)

Compiler

Compiled 42962 to 30613 computations (28.7% saved)

bsearch4.0ms (0%)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	140
1	77	140
2	110	140
3	141	140
4	174	140
5	193	140
6	200	140
7	202	140
8	200	140

end12.0ms (0.1%)

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

sample2.7s (23.4%)

Algorithm

1×

intervals

Results

887.0ms	8000×	body	128	valid
337.0ms	3036×	body	128	nan
147.0ms	1319×	body	128	invalid

Compiler

Compiled 527 to 367 computations (30.4% saved)

Iter	Nodes	Cost
0	50	140
1	77	140
2	110	140
3	141	140
4	174	140
5	193	140
6	200	140
7	202	140
8	200	140

Iter	Nodes	Cost
0	50	140
1	77	140
2	110	140
3	141	140
4	174	140
5	193	140
6	200	140
7	202	140
8	200	140

Details

analyze3.4s (29.3%)

sample78.0ms (0.7%)

simplify46.0ms (0.4%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite194.0ms (1.7%)

series317.0ms (2.8%)

simplify126.0ms (1.1%)

prune200.0ms (1.7%)

localize16.0ms (0.1%)

rewrite192.0ms (1.7%)

series287.0ms (2.5%)

simplify112.0ms (1%)

prune124.0ms (1.1%)

localize18.0ms (0.2%)

rewrite423.0ms (3.7%)

series205.0ms (1.8%)

simplify332.0ms (2.9%)

prune95.0ms (0.8%)

localize15.0ms (0.1%)

rewrite195.0ms (1.7%)

series145.0ms (1.3%)

simplify151.0ms (1.3%)

prune84.0ms (0.7%)

regimes2.0s (17.7%)

bsearch4.0ms (0%)

simplify10.0ms (0.1%)

end12.0ms (0.1%)

sample2.7s (23.4%)

Profiling

Iter	Nodes	Cost
0	50	140
1	77	140
2	110	140
3	141	140
4	174	140
5	193	140
6	200	140
7	202	140
8	200	140