Details

analyze2.9s (24.1%)

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)

sample2.4s (20.3%)

Symmetry

(sort M D)

Results

1.6s	8256×	body	128	valid
802.0ms	4521×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify29.0ms (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

12.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.2b	(.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)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.9b	(.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))))
✓	5.3b	(/.f64 (.f64 M D) (.f64 2 d))
✓	11.4b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series803.0ms (6.7%)

Counts

4 → 204

Calls

4 calls:

337.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
236.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
215.0ms	(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))

rewrite32.0ms (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:

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	(/.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))))

simplify165.0ms (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

prune406.0ms (3.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	301	13	314
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	13	315

Error

3.7b

Counts

315 → 13

Alt Table

Status	Error	Program
▶	10.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l)))))
	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))) 2) (.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) 2) (/.f64 h l))))))
	57.9b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	10.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 h (cbrt.f64 l))))))
	26.4b	(-.f64 w0 (.f64 1/8 (.f64 (pow.f64 (/.f64 D d) 2) (/.f64 (.f64 (.f64 (*.f64 M M) h) w0) 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)))
	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	61.5b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	61.4b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.9b	w0
	34.7b	(.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)))))))
	61.4b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	12.2b	(.f64 (.f64 w0 (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))

Compiler

Compiled 12382 to 7477 computations (39.6% 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) (/.f64 1 l))))
✓	4.5b	(.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) h) (/.f64 1 l))
	5.3b	(/.f64 (.f64 M D) (.f64 2 d))
✓	6.9b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h)

series573.0ms (4.8%)

Counts

3 → 156

Calls

3 calls:

241.0ms

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

186.0ms

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

146.0ms

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

rewrite31.0ms (0.3%)

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

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

5.0ms

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

simplify190.0ms (1.6%)

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

prune356.0ms (3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	262	12	274

Error

3.2b

Counts

274 → 12

Alt Table

Status	Error	Program
✓	10.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l)))))
	10.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))) 2) (.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))) 2) (/.f64 h l))))))
	57.9b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
	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)))
	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
	61.5b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	61.4b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.9b	w0
	34.7b	(.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)))))))
	61.4b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
▶	8.7b	(.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)))))
	12.2b	(.f64 (.f64 w0 (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))

Compiler

Compiled 9296 to 6012 computations (35.3% saved)

localize15.0ms (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)) (/.f64 1 l))))
✓	4.5b	(.f64 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)) (/.f64 1 l))
✓	5.3b	(.f64 (/.f64 (.f64 M D) (*.f64 2 d)) h)
	5.3b	(/.f64 (.f64 M D) (.f64 2 d))

series432.0ms (3.6%)

Counts

3 → 156

Calls

3 calls:

239.0ms

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

167.0ms

(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))))

26.0ms

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

rewrite133.0ms (1.1%)

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:

18.0ms

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

12.0ms

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

10.0ms

(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))))

simplify299.0ms (2.5%)

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

prune501.0ms (4.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	454	2	456
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	456	12	468

Error

3.2b

Counts

468 → 12

Alt Table

Status	Error	Program
✓	10.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l)))))
	57.9b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
✓	8.7b	(.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)))))
▶	8.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 (.f64 h (/.f64 (.f64 D M) (*.f64 d 2))) l)))))
	61.5b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	61.4b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.9b	w0
	34.7b	(.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)))))))
	61.4b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 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)))
	12.2b	(.f64 (.f64 w0 (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))

Compiler

Compiled 19162 to 10438 computations (45.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 (.f64 h (/.f64 (.f64 D M) (*.f64 d 2))) l)
✓	5.3b	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
✓	5.3b	(/.f64 (.f64 D M) (.f64 d 2))
	5.3b	(/.f64 (.f64 M D) (.f64 2 d))

series94.0ms (0.8%)

Counts

3 → 144

Calls

3 calls:

52.0ms	(/.f64 (.f64 h (/.f64 (.f64 D M) (*.f64 d 2))) l)
28.0ms	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
14.0ms	(/.f64 (.f64 D M) (.f64 d 2))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-cbrt-cube_binary64`
58×	`add-exp-log_binary64`
22×	`cbrt-unprod_binary64`
22×	`prod-exp_binary64`
18×	`cbrt-undiv_binary64`

Counts

3 → 86

Calls

3 calls:

8.0ms	(/.f64 (.f64 h (/.f64 (.f64 D M) (*.f64 d 2))) l)
6.0ms	(.f64 h (/.f64 (.f64 D M) (*.f64 d 2)))
4.0ms	(/.f64 (.f64 D M) (.f64 d 2))

simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Rules

553×	`*-commutative_binary64`
305×	`times-frac_binary64`
272×	`associate--l+_binary64`
260×	`fma-def_binary64`
241×	`associate-/l*_binary64`

Counts

230 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	3756
1	396	3253
2	2003	3253
3	2964	3252
4	4724	3252
5	5055	3252

prune195.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	155	12	167

Error

3.2b

Counts

167 → 12

Alt Table

Status	Error	Program
✓	10.4b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) h) (/.f64 1 l)))))
	57.9b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (neg.f64 (.f64 M w0)))
✓	8.7b	(.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)))))
✓	8.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (/.f64 (.f64 h (/.f64 (.f64 D M) (*.f64 d 2))) l)))))
	61.5b	(.f64 D (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 M M) h) (.f64 l (*.f64 d d))) -1/4)) w0))
	61.4b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (pow.f64 (/.f64 D d) 2)) -1/4)) (.f64 M w0))
	13.9b	w0
	34.7b	(.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)))))))
	61.4b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (.f64 D D) (.f64 (.f64 M M) h)) l) -1/4)) d))
	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 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)))
	12.2b	(.f64 (.f64 w0 (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l))))))

Compiler

Compiled 5047 to 2728 computations (45.9% saved)

regimes1.9s (15.6%)

Accuracy

Total 3.6b remaining (46.3%)

Threshold costs 0b (0%)

Counts

97 → 3

Compiler

Compiled 49199 to 36285 computations (26.2% saved)

bsearch4.0ms (0%)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

33×	`*-commutative_binary64`
21×	`+-commutative_binary64`
21×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	155
1	84	155
2	128	155
3	177	155
4	202	155
5	212	155
6	214	155
7	212	155

end349.0ms (2.9%)

Compiler: Compiled 761 to 498 computations (34.6% saved)

Details

analyze2.9s (24.1%)

sample2.4s (20.3%)

simplify29.0ms (0.2%)

prune2.0ms (0%)

localize13.0ms (0.1%)

series803.0ms (6.7%)

rewrite32.0ms (0.3%)

simplify165.0ms (1.4%)

prune406.0ms (3.4%)

localize14.0ms (0.1%)

series573.0ms (4.8%)

rewrite31.0ms (0.3%)

simplify190.0ms (1.6%)

prune356.0ms (3%)

localize15.0ms (0.1%)

series432.0ms (3.6%)

rewrite133.0ms (1.1%)

simplify299.0ms (2.5%)

prune501.0ms (4.2%)

localize17.0ms (0.1%)

series94.0ms (0.8%)

rewrite25.0ms (0.2%)

simplify120.0ms (1%)

prune195.0ms (1.6%)

regimes1.9s (15.6%)

bsearch4.0ms (0%)

simplify8.0ms (0.1%)

end349.0ms (2.9%)

Profiling