Details

analyze3.3s (26.8%)

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)

sample79.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
9.0ms	101×	body	128	nan
4.0ms	47×	body	128	invalid

Compiler

Compiled 55 to 43 computations (21.8% saved)

simplify50.0ms (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

prune2.0ms (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)

localize16.0ms (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 (1.6%)

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:

10.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
7.0ms	(.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)

series343.0ms (2.8%)

Error

7.4b

Counts

4 → 57

Calls

4 calls:

119.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
107.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
72.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
28.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 3462 to 2639 computations (23.8% saved)

simplify166.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

313×	`associate-l_binary64`
288×	`associate-r_binary64`
272×	`distribute-rgt-neg-in_binary64`
255×	`times-frac_binary64`
251×	`distribute-lft-neg-in_binary64`

Counts

173 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4248
1	728	3926
2	3100	3925
3	4645	3925
4	5001	3925

prune219.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	135	9	144
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	10	145

Error

6.5b

Counts

145 → 10

Alt Table

Status	Error	Program
	61.7b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4))))
	12.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 h l) (/.f64 (.f64 D M) (*.f64 2 d)))))))
	60.8b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
✓	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
▶	11.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) (/.f64 1 l)))))
	17.1b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
	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))))))
	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)))

Compiler

Compiled 2560 to 1520 computations (40.6% 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))

rewrite241.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

6.1b

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:

10.0ms	(.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))
7.0ms	(/.f64 (.f64 D M) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))))

Compiler

Compiled 3580 to 2299 computations (35.8% saved)

series283.0ms (2.3%)

Error

6.5b

Counts

4 → 51

Calls

4 calls:

103.0ms	(.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))
71.0ms	(.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2))
66.0ms	(sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 1 l))))
28.0ms	(/.f64 (.f64 D M) (.f64 2 d))

Compiler

Compiled 3124 to 2431 computations (22.2% saved)

simplify124.0ms (1%)

Algorithm

1×	egg-herbie

Rules

456×	`associate-/l/_binary64`
331×	`distribute-rgt-neg-in_binary64`
303×	`associate-l_binary64`
298×	`distribute-lft-neg-in_binary64`
250×	`associate-r_binary64`

Counts

181 → 165

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	4147
1	635	3844
2	2678	3838
3	5048	3838

prune150.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	162	13	175

Error

5.6b

Counts

175 → 13

Alt Table

Status	Error	Program
	61.7b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4))))
	12.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 h l) (/.f64 (.f64 D M) (*.f64 2 d)))))))
	60.8b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
✓	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	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))))))
	60.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 h (/.f64 l (pow.f64 (*.f64 D M) 2))) -1/4)) d))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
✓	11.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) (/.f64 1 l)))))
	60.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 h (.f64 D D)) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	17.1b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
▶	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)))))
	58.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	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)))

Compiler

Compiled 2350 to 1520 computations (35.3% saved)

localize20.0ms (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)))

rewrite578.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

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:

28.0ms	(.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)))
5.0ms	(/.f64 (.f64 D M) (.f64 d 2))
5.0ms	(/.f64 (.f64 D M) (.f64 2 d))

Compiler

Compiled 11881 to 6178 computations (48% saved)

series234.0ms (1.9%)

Error

5.6b

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))
63.0ms	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
27.0ms	(/.f64 (.f64 D M) (.f64 2 d))
27.0ms	(/.f64 (.f64 D M) (.f64 d 2))

Compiler

Compiled 2958 to 2136 computations (27.8% saved)

simplify289.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-*r/_binary64`
624×	`associate-*l/_binary64`
486×	`times-frac_binary64`
469×	`*-commutative_binary64`
298×	`associate-/r*_binary64`

Counts

335 → 309

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	13091
1	1055	8113
2	4041	7924
3	3668	7924
4	5012	7924

prune113.0ms (0.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	307	2	309
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	308	14	322

Error

5.3b

Counts

322 → 14

Alt Table

Status	Error	Program
	60.8b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4))))
✓	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)))))
	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))))))
	60.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 h (/.f64 l (pow.f64 (*.f64 D M) 2))) -1/4)) d))
▶	15.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l)) (.f64 d 2)))))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
✓	11.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) (/.f64 1 l)))))
	60.4b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 h (.f64 D D)) (.f64 l (*.f64 d d))) -1/4)) (neg.f64 M)))
	61.7b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4))))
	17.1b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
✓	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)))))
	58.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	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)))

Compiler

Compiled 2216 to 1297 computations (41.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(.f64 D (.f64 h M))
3.5b	(sqrt.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l)) (*.f64 d 2))))
4.7b	(/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l)) (*.f64 d 2))
8.2b	(/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l))

rewrite365.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

401×	`add-cbrt-cube_binary64`
401×	`add-exp-log_binary64`
223×	`cbrt-unprod_binary64`
223×	`prod-exp_binary64`
107×	`cbrt-undiv_binary64`

Counts

4 → 201

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l)) (*.f64 d 2))
15.0ms	(/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l))
9.0ms	(sqrt.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l)) (*.f64 d 2))))
7.0ms	(.f64 D (.f64 h M))

Compiler

Compiled 8413 to 3439 computations (59.1% saved)

series330.0ms (2.7%)

Error

5.3b

Counts

4 → 54

Calls

4 calls:

108.0ms	(/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l)) (*.f64 d 2))
91.0ms	(/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l))
68.0ms	(sqrt.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (.f64 D (.f64 h M)) (.f64 D M)) (.f64 (.f64 d 2) l)) (*.f64 d 2))))
42.0ms	(.f64 D (.f64 h M))

Compiler

Compiled 3452 to 2608 computations (24.4% saved)

simplify231.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

749×	`associate-/l*_binary64`
621×	`associate-/r*_binary64`
423×	`associate-l_binary64`
372×	`associate-r_binary64`
305×	`distribute-neg-frac_binary64`

Counts

255 → 243

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	7928
1	969	6845
2	2968	6844
3	4728	6844
4	4970	6844

prune129.0ms (1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	238	5	243
Fresh	2	8	10
Picked	1	0	1
Done	0	3	3
Total	241	16	257

Error

4.8b

Counts

257 → 16

Alt Table

Status	Error	Program
✓	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)))))
	60.1b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d (*.f64 d l))) -1/4)) (neg.f64 M)))
	60.0b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 d (*.f64 d l))) -1/4))))
✓	13.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	58.0b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 M)))
	24.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 1/2 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) (.f64 d l))) (.f64 2 d)))))
	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)))))
	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))))))
	60.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 h (/.f64 l (pow.f64 (*.f64 D M) 2))) -1/4)) d))
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
✓	11.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 h (pow.f64 (/.f64 (.f64 D M) (*.f64 2 d)) 2)) (/.f64 1 l)))))
	61.7b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4))))
	17.1b	(/.f64 (.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) 3)))) (sqrt.f64 (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)) (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))) (.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))))
	19.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 D (/.f64 (.f64 l (.f64 d (.f64 4 d))) (.f64 M (.f64 D (*.f64 M h))))))))
	12.1b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 (.f64 (/.f64 (.f64 D (.f64 M h)) (.f64 2 d)) (.f64 D M)) l) (*.f64 d 2)))))
	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)))

Compiler

Compiled 2267 to 1154 computations (49.1% saved)

regimes2.6s (21%)

Accuracy

Total 3.9b remaining (44.4%)

Threshold costs 0b (0%)

Compiler

Compiled 54744 to 39097 computations (28.6% saved)

bsearch6.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
15×	`+-commutative_binary64`
15×	`sub-neg_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	91
1	52	91
2	68	91
3	96	91
4	120	91
5	142	91
6	153	91
7	157	91
8	158	91
9	156	91

end9.0ms (0.1%)

Remove: (sort M D)
Compiler: Compiled 201 to 117 computations (41.8% saved)

sample2.3s (18.2%)

Algorithm

1×

intervals

Results

775.0ms	8000×	body	128	valid
307.0ms	3036×	body	128	nan
133.0ms	1319×	body	128	invalid

Compiler

Compiled 570 to 394 computations (30.9% saved)

Details

analyze3.3s (26.8%)

sample79.0ms (0.6%)

simplify50.0ms (0.4%)

prune2.0ms (0%)

localize16.0ms (0.1%)

rewrite194.0ms (1.6%)

series343.0ms (2.8%)

simplify166.0ms (1.3%)

prune219.0ms (1.8%)

localize16.0ms (0.1%)

rewrite241.0ms (1.9%)

series283.0ms (2.3%)

simplify124.0ms (1%)

prune150.0ms (1.2%)

localize20.0ms (0.2%)

rewrite578.0ms (4.7%)

series234.0ms (1.9%)

simplify289.0ms (2.3%)

prune113.0ms (0.9%)

localize16.0ms (0.1%)

rewrite365.0ms (3%)

series330.0ms (2.7%)

simplify231.0ms (1.9%)

prune129.0ms (1%)

regimes2.6s (21%)

bsearch6.0ms (0%)

simplify12.0ms (0.1%)

end9.0ms (0.1%)

sample2.3s (18.2%)

Profiling