Details

analyze2.8s (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
4.3%	95.4%	0.3%	13
6.6%	93.1%	0.3%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample2.3s (20.9%)

Symmetry

(sort M D)

Results

1.5s	8256×	body	128	valid
762.0ms	4447×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% saved)

simplify24.0ms (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

16.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	17.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (.f64 M (/.f64 D (.f64 2 d))) 2) (/.f64 h l)))))
▶	17.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))

Compiler

Compiled 138 to 101 computations (26.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.9b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
✓	5.3b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
✓	5.7b	(/.f64 (.f64 M D) (.f64 2 d))
✓	13.9b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

series475.0ms (4.3%)

Counts

4 → 204

Calls

4 calls:

203.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
157.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
102.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
12.0ms	(/.f64 (.f64 M D) (.f64 2 d))

rewrite58.0ms (0.5%)

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:

56.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
56.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
56.0ms	(/.f64 (.f64 M D) (.f64 2 d))
56.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

simplify122.0ms (1.1%)

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

323 → 239

prune306.0ms (2.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	227	12	239
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	228	13	241

Error

7.1b

Counts

241 → 13

Alt Table

Status	Error	Program
	17.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) (/.f64 h l))) 3))))
	18.3b	(.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)))
▶	12.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 M (.f64 D (/.f64 1/2 d))) 2) h) l))))
	61.4b	(.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)))
	60.7b	(.f64 D (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4)) w0))
	17.3b	(.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))
	15.0b	w0
	30.5b	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 -1/4 (/.f64 D (/.f64 l D))) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) 1)))
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
✓	17.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
	61.3b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	60.6b	(.f64 D (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 h (pow.f64 M 2)) (*.f64 (pow.f64 d 2) l))))) w0))
	29.1b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 9515 to 5851 computations (38.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) h)
✓	5.3b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) h) l)))
✓	6.2b	(.f64 M (.f64 D (/.f64 1/2 d)))
✓	6.3b	(/.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) h) l)

series405.0ms (3.7%)

Counts

4 → 192

Calls

4 calls:

162.0ms	(/.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) h) l)
126.0ms	(.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) h)
100.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 M (*.f64 D (/.f64 1/2 d))) 2) h) l)))
16.0ms	(.f64 M (.f64 D (/.f64 1/2 d)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`prod-diff_binary64`
174×	`add-sqr-sqrt_binary64`
167×	`log1p-expm1-u_binary64`
167×	`expm1-log1p-u_binary64`
165×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	365	69
2	4610	69

Stop Event

1×	node limit

Counts

4 → 105

Calls

4 calls:

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

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-*l/_binary64`
268×	`associate-/r/_binary64`
245×	`fma-def_binary64`
227×	`unswap-sqr_binary64`
207×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	5696
1	706	5664
2	2313	5644

Stop Event

1×	node limit

Counts

297 → 170

prune251.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	167	3	170
Fresh	2	9	11
Picked	1	0	1
Done	1	0	1
Total	171	12	183

Error

6.6b

Counts

183 → 12

Alt Table

Status	Error	Program
	61.4b	(.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)))
	38.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d 2))) (sqrt.f64 h)) (.f64 (.f64 (.f64 M (/.f64 D (*.f64 d 2))) (sqrt.f64 h)) (/.f64 1 l))))))
	15.0b	w0
	30.5b	(.f64 w0 (sqrt.f64 (fma.f64 (.f64 -1/4 (/.f64 D (/.f64 l D))) (/.f64 (.f64 M (.f64 M h)) (*.f64 d d)) 1)))
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
	12.3b	(.f64 w0 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 (/.f64 (pow.f64 (.f64 M (/.f64 D (.f64 d 2))) 2) l) h)))) 3))
	18.3b	(.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)))
▶	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (*.f64 1/2 (/.f64 M (/.f64 d D))) 2) h) l))))
	61.3b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	60.7b	(.f64 D (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4)) w0))
	60.6b	(.f64 D (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 h (pow.f64 M 2)) (*.f64 (pow.f64 d 2) l))))) w0))
	29.1b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 6214 to 4051 computations (34.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 (pow.f64 (.f64 1/2 (/.f64 M (/.f64 d D))) 2) h)
✓	5.3b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (/.f64 M (/.f64 d D))) 2) h) l)))
✓	5.9b	(/.f64 M (/.f64 d D))
✓	6.3b	(/.f64 (.f64 (pow.f64 (.f64 1/2 (/.f64 M (/.f64 d D))) 2) h) l)

series408.0ms (3.7%)

Counts

4 → 192

Calls

4 calls:

166.0ms	(/.f64 (.f64 (pow.f64 (.f64 1/2 (/.f64 M (/.f64 d D))) 2) h) l)
130.0ms	(.f64 (pow.f64 (.f64 1/2 (/.f64 M (/.f64 d D))) 2) h)
101.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (/.f64 M (/.f64 d D))) 2) h) l)))
11.0ms	(/.f64 M (/.f64 d D))

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`prod-diff_binary64`
178×	`add-sqr-sqrt_binary64`
170×	`log1p-expm1-u_binary64`
170×	`expm1-log1p-u_binary64`
168×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	370	66
2	4916	66

Stop Event

1×	node limit

Counts

4 → 125

Calls

4 calls:

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

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-*l/_binary64`
265×	`associate-/r/_binary64`
247×	`fma-def_binary64`
227×	`unswap-sqr_binary64`
207×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	5588
1	703	5556
2	2293	5536

Stop Event

1×	node limit

Counts

317 → 189

prune257.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	188	13	201

Error

4.9b

Counts

201 → 13

Alt Table

Status	Error	Program
	22.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 1/4 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 M (.f64 M h)))) l))))
✓	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (*.f64 1/2 (/.f64 M (/.f64 d D))) 2) h) l))))
	58.2b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 M d) (/.f64 M d)) (/.f64 h l)) -1/4))))
	38.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d 2))) (sqrt.f64 h)) (.f64 (.f64 (.f64 M (/.f64 D (*.f64 d 2))) (sqrt.f64 h)) (/.f64 1 l))))))
	60.7b	(.f64 D (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4)) w0))
▶	12.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 (/.f64 M d) D)) 2) h) l))))
	15.0b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
	18.3b	(.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)))
	60.6b	(.f64 w0 (.f64 D (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 M 2) h) (*.f64 l (pow.f64 d 2))))))))
	59.6b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4)) (neg.f64 M)))
	61.3b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	29.1b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 6712 to 4134 computations (38.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h)
✓	5.3b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h) l)))
✓	6.3b	(/.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h) l)
✓	6.9b	(*.f64 (/.f64 M d) D)

series1.0s (9.4%)

Counts

4 → 192

Calls

4 calls:

682.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h) l)))
182.0ms	(/.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h) l)
154.0ms	(.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h)
11.0ms	(*.f64 (/.f64 M d) D)

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`prod-diff_binary64`
174×	`add-sqr-sqrt_binary64`
166×	`log1p-expm1-u_binary64`
166×	`expm1-log1p-u_binary64`
164×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	364	66
2	4658	66

Stop Event

1×	node limit

Counts

4 → 107

Calls

4 calls:

67.0ms	(.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h)
67.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h) l)))
67.0ms	(/.f64 (.f64 (pow.f64 (.f64 1/2 (*.f64 (/.f64 M d) D)) 2) h) l)
67.0ms	(*.f64 (/.f64 M d) D)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-*l/_binary64`
265×	`associate-/r/_binary64`
249×	`fma-def_binary64`
227×	`unswap-sqr_binary64`
207×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	5588
1	704	5556
2	2294	5536

Stop Event

1×	node limit

Counts

299 → 172

prune200.0ms (1.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	172	13	185

Error

4.9b

Counts

185 → 13

Alt Table

Status	Error	Program
	22.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 1/4 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (.f64 M (.f64 M h)))) l))))
✓	12.3b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (*.f64 1/2 (/.f64 M (/.f64 d D))) 2) h) l))))
	58.2b	(.f64 w0 (.f64 D (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 M d) (/.f64 M d)) (/.f64 h l)) -1/4))))
	38.5b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (.f64 (.f64 M (/.f64 D (.f64 d 2))) (sqrt.f64 h)) (.f64 (.f64 (.f64 M (/.f64 D (*.f64 d 2))) (sqrt.f64 h)) (/.f64 1 l))))))
	60.7b	(.f64 D (.f64 (sqrt.f64 (.f64 (.f64 (/.f64 h l) (/.f64 (.f64 M M) (.f64 d d))) -1/4)) w0))
✓	12.8b	(.f64 w0 (sqrt.f64 (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 (/.f64 M d) D)) 2) h) l))))
	15.0b	w0
	61.0b	(.f64 w0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 D (/.f64 l D)) (.f64 M (*.f64 M h))) -1/4)) d))
	18.3b	(.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)))
	60.6b	(.f64 w0 (.f64 D (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 M 2) h) (*.f64 l (pow.f64 d 2))))))))
	59.6b	(.f64 w0 (.f64 (sqrt.f64 (.f64 (.f64 (*.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h l)) -1/4)) (neg.f64 M)))
	61.3b	(/.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) l)))) w0) d)
	29.1b	(fma.f64 (.f64 -1/8 (.f64 (/.f64 D d) (/.f64 D d))) (/.f64 (.f64 M (.f64 M h)) (/.f64 l w0)) w0)

Compiler

Compiled 5984 to 3724 computations (37.8% saved)

regimes1.4s (13.2%)

Accuracy

Total 4.4b remaining (53%)

Threshold costs 0b (0%)

Counts

73 → 3

Compiler

Compiled 30163 to 22246 computations (26.2% saved)

bsearch5.0ms (0%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	109
1	48	109
2	59	109
3	67	109
4	73	109
5	76	109
6	77	109

Stop Event

1×

saturated

end333.0ms (3%)

Compiler: Compiled 634 to 413 computations (34.9% saved)

Details

analyze2.8s (25.5%)

sample2.3s (20.9%)

simplify24.0ms (0.2%)

prune4.0ms (0%)

localize12.0ms (0.1%)

series475.0ms (4.3%)

rewrite58.0ms (0.5%)

simplify122.0ms (1.1%)

prune306.0ms (2.8%)

localize13.0ms (0.1%)

series405.0ms (3.7%)

rewrite74.0ms (0.7%)

simplify89.0ms (0.8%)

prune251.0ms (2.3%)

localize13.0ms (0.1%)

series408.0ms (3.7%)

rewrite88.0ms (0.8%)

simplify84.0ms (0.8%)

prune257.0ms (2.3%)

localize14.0ms (0.1%)

series1.0s (9.4%)

rewrite69.0ms (0.6%)

simplify88.0ms (0.8%)

prune200.0ms (1.8%)

regimes1.4s (13.2%)

bsearch5.0ms (0%)

simplify5.0ms (0%)

end333.0ms (3%)

Profiling