Details

analyze1.5s (12.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample81.0ms (0.7%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
8.0ms	92×	body	128	nan
3.0ms	29×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	15	12
3	15	12

prune3.0ms (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

19.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	19.7b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	3.2b	(/.f64 A (*.f64 V l))
✓	17.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`

Counts

3 → 72

Calls

3 calls:

12.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
7.0ms	(/.f64 A (*.f64 V l))
5.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series341.0ms (2.8%)

Counts

3 → 12

Calls

3 calls:

172.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
112.0ms	(/.f64 A (*.f64 V l))
57.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify169.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-neg_binary64`
679×	`associate-/r/_binary64`
449×	`div-sub_binary64`
262×	`times-frac_binary64`
261×	`sub-neg_binary64`

Counts

84 → 115

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1084
1	194	1009
2	561	1009
3	1631	1009
4	2187	1009
5	2446	1009
6	3196	1009
7	4340	1009
8	4698	1009

prune193.0ms (1.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	100	15	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	15	116

Error

11.3b

Counts

116 → 15

Alt Table

Status	Error	Program
	51.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	38.6b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	20.3b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))
▶	19.9b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	20.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	20.3b	(.f64 (.f64 c0 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	23.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	49.5b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	37.4b	(exp.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)))
	36.9b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	22.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
	20.0b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (*.f64 V l) (cbrt.f64 A)))))
	50.6b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	39.1b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	35.7b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))

Compiler

Compiled 1744 to 615 computations (64.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.2b	(/.f64 A (*.f64 V l))
	3.2b	(/.f64 A (*.f64 V l))
	17.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))
	17.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune220.0ms (1.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	167	16	183

Error

11.3b

Counts

183 → 16

Alt Table

Status	Error	Program
	51.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	38.6b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	20.3b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))))
✓	19.9b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	20.0b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	20.3b	(.f64 (.f64 c0 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	23.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	49.5b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	37.4b	(exp.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)))
	36.9b	(.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V l))))
	22.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
▶	20.0b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (*.f64 V l) (cbrt.f64 A)))))
	50.6b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	39.1b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	35.7b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))
	24.7b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))

Compiler

Compiled 2655 to 744 computations (72% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(/.f64 (*.f64 V l) (cbrt.f64 A))
✓	1.8b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (*.f64 V l) (cbrt.f64 A)))))
✓	2.2b	(/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (.f64 V l) (cbrt.f64 A)))
✓	17.4b	(sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (.f64 V l) (cbrt.f64 A))))

rewrite64.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`times-frac_binary64`
32×	`sqrt-prod_binary64`
32×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`

Counts

4 → 142

Calls

4 calls:

17.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (*.f64 V l) (cbrt.f64 A)))))
14.0ms	(/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (.f64 V l) (cbrt.f64 A)))
11.0ms	(sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (.f64 V l) (cbrt.f64 A))))
6.0ms	(/.f64 (*.f64 V l) (cbrt.f64 A))

series2.5s (20.4%)

Counts

4 → 84

Calls

4 calls:

2.0s	(/.f64 (*.f64 V l) (cbrt.f64 A))
226.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (*.f64 V l) (cbrt.f64 A)))))
141.0ms	(/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (.f64 V l) (cbrt.f64 A)))
87.0ms	(sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (.f64 V l) (cbrt.f64 A))))

simplify242.0ms (2%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-/l*_binary64`
600×	`associate-/l/_binary64`
546×	`associate-/r/_binary64`
450×	`associate-/r*_binary64`
436×	`associate-*r/_binary64`

Counts

226 → 365

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4177
1	435	3049
2	1431	3043
3	4242	3043
4	5162	3043

prune397.0ms (3.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	358	7	365
Fresh	5	9	14
Picked	1	0	1
Done	0	1	1
Total	364	17	381

Error

4.8b

Counts

381 → 17

Alt Table

Status	Error	Program
	25.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 A))))))
	51.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
	38.6b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	50.6b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	25.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 A)))))
	20.3b	(.f64 (.f64 c0 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	26.0b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 (cbrt.f64 A))))))
	23.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	26.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 (cbrt.f64 A))))))
	39.1b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	49.5b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	25.1b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 (cbrt.f64 A)))))))
	15.6b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 1 (/.f64 (*.f64 V l) (cbrt.f64 A)))))
	22.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	19.9b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	35.7b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))
▶	14.3b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))

Compiler

Compiled 4994 to 1270 computations (74.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 A)
✓	1.1b	(/.f64 (cbrt.f64 A) (*.f64 V l))
✓	1.8b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))
✓	14.5b	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`cbrt-prod_binary64`

Counts

4 → 88

Calls

4 calls:

21.0ms	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))
5.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))
4.0ms	(/.f64 (cbrt.f64 A) (*.f64 V l))
1.0ms	(cbrt.f64 A)

series1.4s (11.9%)

Counts

4 → 72

Calls

4 calls:

828.0ms	(/.f64 (cbrt.f64 A) (*.f64 V l))
290.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))
216.0ms	(cbrt.f64 A)
113.0ms	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))

simplify151.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-/l*_binary64`
377×	`associate-*l/_binary64`
333×	`associate-*r/_binary64`
313×	`fma-def_binary64`
289×	`*-commutative_binary64`

Counts

160 → 262

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	148	2381
1	283	1990
2	905	1965
3	3234	1813
4	4039	1803
5	4788	1803
6	4991	1803
7	4945	1803

prune140.0ms (1.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	255	7	262
Fresh	4	11	15
Picked	1	0	1
Done	0	1	1
Total	260	19	279

Error

4.3b

Counts

279 → 19

Alt Table

Status	Error	Program
	25.0b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) V)) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 A))))))
	38.6b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	15.6b	(.f64 c0 (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) V) (/.f64 (cbrt.f64 (cbrt.f64 A)) l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))
	49.5b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (sqrt.f64 A) V)) (sqrt.f64 (/.f64 (sqrt.f64 A) l))))
	14.3b	(.f64 c0 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))
	14.7b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A)))))))
	25.8b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 A)))))
	20.3b	(.f64 (.f64 c0 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))) (cbrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	14.3b	(.f64 c0 (.f64 (sqrt.f64 (.f64 1 (/.f64 (cbrt.f64 A) (.f64 V l)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))
	26.0b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (cbrt.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A))))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 (cbrt.f64 A))))))
	23.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
	26.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 l (cbrt.f64 (cbrt.f64 A))))))
	39.1b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	14.7b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))) (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A)))))))) (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))))
	35.7b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))
	40.7b	(.f64 c0 (.f64 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 -1) (.f64 V l))) (pow.f64 (neg.f64 A) 1/6)) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))
	22.0b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
✓	19.9b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	48.3b	(.f64 c0 (.f64 (*.f64 (sqrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 A)) V)) (sqrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 A)) l))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 1 (cbrt.f64 A))))))

Compiler

Compiled 3295 to 1429 computations (56.6% saved)

regimes2.3s (19%)

Accuracy

Total 4.0b remaining (55%)

Threshold costs 0b (0%)

Compiler

Compiled 28601 to 16985 computations (40.6% saved)

bsearch6.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	122
1	44	122
2	43	122

end9.0ms (0.1%)

Compiler: Compiled 243 to 102 computations (58% saved)

sample2.3s (18.6%)

Algorithm

1×

intervals

Results

515.0ms	8000×	body	128	valid
184.0ms	2942×	body	128	nan
55.0ms	923×	body	128	invalid

Compiler

Compiled 574 to 316 computations (44.9% saved)

Details

analyze1.5s (12.1%)

sample81.0ms (0.7%)

simplify21.0ms (0.2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite29.0ms (0.2%)

series341.0ms (2.8%)

simplify169.0ms (1.4%)

prune193.0ms (1.6%)

localize17.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify23.0ms (0.2%)

prune220.0ms (1.8%)

localize20.0ms (0.2%)

rewrite64.0ms (0.5%)

series2.5s (20.4%)

simplify242.0ms (2%)

prune397.0ms (3.3%)

localize22.0ms (0.2%)

rewrite35.0ms (0.3%)

series1.4s (11.9%)

simplify151.0ms (1.2%)

prune140.0ms (1.2%)

regimes2.3s (19%)

bsearch6.0ms (0%)

simplify5.0ms (0%)

end9.0ms (0.1%)

sample2.3s (18.6%)

Profiling