Details

analyze2.7s (28.2%)

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)

sample2.3s (24.7%)

Symmetry

(sort M D)

Results

1.5s	8256×	body	128	valid
742.0ms	4491×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

418×	`associate-/l*_binary64`
372×	`cancel-sign-sub-inv_binary64`
251×	`associate-/l/_binary64`
229×	`*-commutative_binary64`
227×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	42	27
2	115	27
3	846	27
4	3817	27

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

14.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	15.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
▶	15.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 2 d))) 2) (/.f64 h l)))))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 2 d))) 2) (/.f64 h l)))))
✓	5.9b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2) (/.f64 h l))))
✓	6.2b	(.f64 M (/.f64 D (.f64 2 d)))
✓	11.0b	(.f64 (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2) (/.f64 h l))

series615.0ms (6.5%)

Counts

4 → 204

Calls

4 calls:

260.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 2 d))) 2) (/.f64 h l)))))
196.0ms	(.f64 (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2) (/.f64 h l))
144.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2) (/.f64 h l))))
15.0ms	(.f64 M (/.f64 D (.f64 2 d)))

rewrite39.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

188×	`add-sqr-sqrt_binary64`
179×	`log1p-expm1-u_binary64`
179×	`expm1-log1p-u_binary64`
177×	`add-cbrt-cube_binary64`
175×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
1	386	80

Stop Event

1×	node limit

Counts

4 → 92

Calls

4 calls:

38.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 2 d))) 2) (/.f64 h l)))))
38.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2) (/.f64 h l))))
37.0ms	(.f64 M (/.f64 D (.f64 2 d)))
37.0ms	(.f64 (pow.f64 (.f64 M (/.f64 D (*.f64 2 d))) 2) (/.f64 h l))

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

640×	`fma-def_binary64`
262×	`times-frac_binary64`
243×	`associate-/r*_binary64`
231×	`associate-r_binary64`
226×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	8076
1	1242	8010
2	4071	7948

Stop Event

1×	node limit

Counts

296 → 212

prune224.0ms (2.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	201	11	212
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	202	12	214

Error

6.5b

Counts

214 → 12

Alt Table

Status	Error	Program
▶	14.3b	w0
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
	61.1b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4))))
	15.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	60.0b	(.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)))
	15.2b	(.f64 w0 (exp.f64 (.f64 1/2 (log1p.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (neg.f64 (/.f64 h l)))))))
	15.5b	(.f64 w0 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))) 3/2)))
	15.1b	(.f64 w0 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))))) 3))
	60.7b	(-.f64 (/.f64 (/.f64 (.f64 1/8 w0) (pow.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) 3)) (pow.f64 M 3)) (fma.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) w0) (.f64 1/2 (/.f64 (/.f64 w0 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4))) M))))
	59.2b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) (neg.f64 (*.f64 M w0)))
	59.8b	(.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)))
	27.9b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 8900 to 5462 computations (38.6% saved)

localize1.0ms (0%)

prune16.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Error

6.5b

Counts

12 → 12

Alt Table

Status	Error	Program
✓	14.3b	w0
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
	61.1b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4))))
▶	15.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	60.0b	(.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)))
	15.2b	(.f64 w0 (exp.f64 (.f64 1/2 (log1p.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (neg.f64 (/.f64 h l)))))))
	15.5b	(.f64 w0 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))) 3/2)))
	15.1b	(.f64 w0 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))))) 3))
	60.7b	(-.f64 (/.f64 (/.f64 (.f64 1/8 w0) (pow.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) 3)) (pow.f64 M 3)) (fma.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) w0) (.f64 1/2 (/.f64 (/.f64 w0 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4))) M))))
	59.2b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) (neg.f64 (*.f64 M w0)))
	59.8b	(.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)))
	27.9b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 657 to 446 computations (32.1% saved)

localize14.0ms (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)))))
✓	5.3b	(/.f64 (.f64 M D) (.f64 2 d))
✓	5.9b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
✓	11.0b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series557.0ms (5.9%)

Counts

4 → 204

Calls

4 calls:

234.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
194.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
114.0ms	(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))

rewrite40.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

190×	`add-sqr-sqrt_binary64`
179×	`log1p-expm1-u_binary64`
179×	`expm1-log1p-u_binary64`
177×	`add-cbrt-cube_binary64`
176×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
1	386	80

Stop Event

1×	node limit

Counts

4 → 119

Calls

4 calls:

37.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
37.0ms	(/.f64 (.f64 M D) (.f64 2 d))
37.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
37.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

simplify118.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-def_binary64`
262×	`times-frac_binary64`
243×	`associate-/r*_binary64`
231×	`associate-r_binary64`
226×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	8076
1	1244	8010
2	4073	7948

Stop Event

1×	node limit

Counts

323 → 239

prune278.0ms (2.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	235	4	239
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	235	16	251

Error

4.8b

Counts

251 → 16

Alt Table

Status	Error	Program
	57.8b	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4)) (neg.f64 (*.f64 M w0)))
	60.0b	(.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)))
▶	15.1b	(.f64 w0 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))))) 3))
	57.6b	(.f64 w0 (.f64 M (neg.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4)))))
	62.0b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4))))
	60.7b	(-.f64 (/.f64 (/.f64 (.f64 1/8 w0) (pow.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) 3)) (pow.f64 M 3)) (fma.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) w0) (.f64 1/2 (/.f64 (/.f64 w0 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4))) M))))
✓	14.3b	w0
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
	61.1b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4))))
✓	15.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	30.6b	(fma.f64 (.f64 -1/8 (/.f64 D (/.f64 l D))) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 d)) w0)
	15.2b	(.f64 w0 (exp.f64 (.f64 1/2 (log1p.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (neg.f64 (/.f64 h l)))))))
	15.5b	(.f64 w0 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))) 3/2)))
	59.2b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) (neg.f64 (*.f64 M w0)))
	59.8b	(.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)))
	27.9b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 9746 to 5960 computations (38.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l)))))
✓	5.9b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))))
✓	6.2b	(.f64 M (.f64 D (/.f64 1/2 d)))
✓	11.0b	(.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))

series512.0ms (5.4%)

Counts

4 → 204

Calls

4 calls:

197.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l)))))
191.0ms	(.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))
109.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))))
15.0ms	(.f64 M (.f64 D (/.f64 1/2 d)))

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`prod-diff_binary64`
184×	`add-sqr-sqrt_binary64`
176×	`log1p-expm1-u_binary64`
176×	`expm1-log1p-u_binary64`
175×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	79
1	386	78
2	4808	78

Stop Event

1×	node limit

Counts

4 → 95

Calls

4 calls:

70.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l)))))
70.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))))
70.0ms	(.f64 M (.f64 D (/.f64 1/2 d)))
70.0ms	(.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

546×	`associate-/r*_binary64`
480×	`associate-/l*_binary64`
278×	`associate-*r/_binary64`
187×	`associate-*l/_binary64`
173×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	10454
1	1834	10360

Stop Event

1×	node limit

Counts

299 → 233

prune327.0ms (3.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	232	17	249

Error

4.6b

Counts

249 → 17

Alt Table

Status	Error	Program
	61.6b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
	62.3b	(.f64 w0 (pow.f64 (exp.f64 (.f64 1/6 (-.f64 (log.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (pow.f64 M 2)) (*.f64 l (pow.f64 d 2)))))) (log.f64 (/.f64 1 h))))) 3))
	57.8b	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4)) (neg.f64 (*.f64 M w0)))
	60.0b	(.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)))
✓	15.1b	(.f64 w0 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))))) 3))
	57.6b	(.f64 w0 (.f64 M (neg.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4)))))
	62.0b	(.f64 w0 (.f64 M (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4))))
	60.7b	(-.f64 (/.f64 (/.f64 (.f64 1/8 w0) (pow.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) 3)) (pow.f64 M 3)) (fma.f64 M (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) w0) (.f64 1/2 (/.f64 (/.f64 w0 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4))) M))))
✓	14.3b	w0
	61.1b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4))))
✓	15.0b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	30.6b	(fma.f64 (.f64 -1/8 (/.f64 D (/.f64 l D))) (.f64 (/.f64 (.f64 (.f64 M M) h) d) (/.f64 w0 d)) w0)
	15.2b	(.f64 w0 (exp.f64 (.f64 1/2 (log1p.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) (neg.f64 (/.f64 h l)))))))
	15.5b	(.f64 w0 (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))) 3/2)))
	59.2b	(.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (/.f64 h (.f64 d d))) -1/4)) (neg.f64 (*.f64 M w0)))
	59.8b	(.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)))
	27.9b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 13131 to 8453 computations (35.6% saved)

regimes958.0ms (10.1%)

Accuracy

Total 2.8b remaining (36.4%)

Threshold costs 0b (0%)

Counts

38 → 3

Compiler

Compiled 15819 to 11389 computations (28% saved)

bsearch2.0ms (0%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	105
1	58	105
2	83	105
3	101	105
4	112	105
5	116	105
6	117	105

Stop Event

1×

saturated

end399.0ms (4.2%)

Compiler: Compiled 771 to 498 computations (35.4% saved)

Details

analyze2.7s (28.2%)

sample2.3s (24.7%)

simplify23.0ms (0.2%)

prune4.0ms (0%)

localize14.0ms (0.2%)

series615.0ms (6.5%)

rewrite39.0ms (0.4%)

simplify123.0ms (1.3%)

prune224.0ms (2.4%)

localize1.0ms (0%)

prune16.0ms (0.2%)

localize14.0ms (0.1%)

series557.0ms (5.9%)

rewrite40.0ms (0.4%)

simplify118.0ms (1.2%)

prune278.0ms (2.9%)

localize14.0ms (0.1%)

series512.0ms (5.4%)

rewrite72.0ms (0.8%)

simplify114.0ms (1.2%)

prune327.0ms (3.4%)

regimes958.0ms (10.1%)

bsearch2.0ms (0%)

simplify5.0ms (0%)

end399.0ms (4.2%)

Profiling