Details

analyze786.0ms (7.5%)

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)

sample46.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	100×	body	128	nan
1.0ms	28×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms (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

17.8b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	17.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.7b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.9b	(/.f64 A (*.f64 V l))
15.1b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite72.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

7.7b

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:

6.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
3.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
3.0ms	(/.f64 A (*.f64 V l))

Compiler

Compiled 916 to 254 computations (72.3% saved)

series70.0ms (0.7%)

Error

17.8b

Counts

3 → 30

Calls

3 calls:

30.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
21.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.0ms	(/.f64 A (*.f64 V l))

Compiler

Compiled 1042 to 726 computations (30.3% saved)

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-neg_binary64`
606×	`div-sub_binary64`
500×	`fma-def_binary64`
372×	`times-frac_binary64`
318×	`associate-/l*_binary64`

Counts

102 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	1248
1	246	1173
2	766	1173
3	2277	1173
4	2642	1173
5	3230	1173
6	4105	1173
7	5422	1173

prune27.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	10	43

Error

13.3b

Counts

43 → 10

Alt Table

Status	Error	Program
✓	17.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	36.3b	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))
	18.1b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	18.4b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (cbrt.f64 c0)))
	18.5b	(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0))) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)))
	42.7b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	37.9b	(exp.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)))
	42.1b	(*.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) (/.f64 V (/.f64 (sqrt.f64 A) l)))))
▶	18.1b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
	19.3b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))

Compiler

Compiled 661 to 283 computations (57.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
2.8b	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
3.3b	(/.f64 V (/.f64 (cbrt.f64 A) l))
15.1b	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

rewrite508.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

849×	`times-frac_binary64`
358×	`add-sqr-sqrt_binary64`
331×	`*-un-lft-identity_binary64`
331×	`add-cube-cbrt_binary64`
157×	`sqrt-prod_binary64`

Counts

4 → 471

Calls

4 calls:

28.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
15.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
15.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))
6.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))

Compiler

Compiled 12607 to 2791 computations (77.9% saved)

series152.0ms (1.4%)

Error

13.3b

Counts

4 → 39

Calls

4 calls:

57.0ms	(/.f64 V (/.f64 (cbrt.f64 A) l))
42.0ms	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))))
27.0ms	(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l)))
22.0ms	(sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))

Compiler

Compiled 1560 to 1085 computations (30.4% saved)

simplify445.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

536×	`associate-/r/_binary64`
501×	`associate-/l/_binary64`
362×	`*-commutative_binary64`
357×	`associate-*l/_binary64`
333×	`associate-l_binary64`

Counts

510 → 382

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	630	13676
1	1325	12468
2	4596	12439
3	4420	12439
4	4999	12439
5	4981	12439

prune246.0ms (2.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	362	20	382
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	368	24	392

Error

2.3b

Counts

392 → 24

Alt Table

Status	Error	Program
	36.9b	(.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 (sqrt.f64 A)) (.f64 (cbrt.f64 l) (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (cbrt.f64 (sqrt.f64 A)) (cbrt.f64 l))))))
	25.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) V)) (sqrt.f64 (*.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 A) l)))))
	48.4b	(.f64 c0 (.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (cbrt.f64 A)) (sqrt.f64 l)) (/.f64 (cbrt.f64 A) (sqrt.f64 V)))) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (cbrt.f64 A)) (sqrt.f64 l)) (/.f64 (cbrt.f64 A) (sqrt.f64 V))))))
	40.5b	(.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (cbrt.f64 (cbrt.f64 A)) l)))))
	13.7b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	19.9b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))))
	48.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (sqrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))
	8.1b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
	18.4b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (cbrt.f64 c0)))
	16.4b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 (cbrt.f64 A) l)))))
✓	17.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	36.3b	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))
	18.0b	(.f64 c0 (sqrt.f64 (/.f64 (/.f64 A (.f64 (cbrt.f64 V) (cbrt.f64 V))) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
	37.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))
▶	7.5b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
	15.1b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 1 l)))))
	37.1b	(.f64 c0 (.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 A) (.f64 (cbrt.f64 V) (cbrt.f64 V))) (sqrt.f64 (cbrt.f64 A)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (sqrt.f64 (cbrt.f64 A)) l))))))
	48.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (sqrt.f64 l))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (sqrt.f64 l))))))
	37.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 V) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) l))))))
	49.0b	(.f64 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 c0)) (*.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (sqrt.f64 (/.f64 V (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 c0)))
	17.8b	(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))))
	40.8b	(.f64 (.f64 c0 (sqrt.f64 (*.f64 (cbrt.f64 A) (sqrt.f64 (cbrt.f64 A))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (sqrt.f64 (cbrt.f64 A)) l)))))
	19.3b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	35.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))

Compiler

Compiled 7512 to 1818 computations (75.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
1.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
2.6b	(/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))
4.8b	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))

rewrite120.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

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:

14.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
4.0ms	(/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))
4.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))
1.0ms	(cbrt.f64 A)

Compiler

Compiled 1948 to 418 computations (78.5% saved)

series288.0ms (2.7%)

Error

1.7b

Counts

4 → 33

Calls

4 calls:

101.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
97.0ms	(sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))
59.0ms	(/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))
11.0ms	(cbrt.f64 A)

Compiler

Compiled 2349 to 1703 computations (27.5% saved)

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

556×	`times-frac_binary64`
472×	`*-commutative_binary64`
428×	`associate-/l*_binary64`
326×	`associate-*l/_binary64`
303×	`associate-*r/_binary64`

Counts

121 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	2426
1	490	2204
2	1339	2149
3	4397	2106
4	4951	2106
5	4971	2106

prune88.0ms (0.8%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	4	18	22
Picked	0	1	1
Done	0	1	1
Total	72	30	102

Error

1.3b

Counts

102 → 30

Alt Table

Status	Error	Program
	36.9b	(.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 (sqrt.f64 A)) (.f64 (cbrt.f64 l) (cbrt.f64 l)))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (cbrt.f64 (sqrt.f64 A)) (cbrt.f64 l))))))
	25.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) V)) (sqrt.f64 (*.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 A) l)))))
	48.4b	(.f64 c0 (.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (cbrt.f64 A)) (sqrt.f64 l)) (/.f64 (cbrt.f64 A) (sqrt.f64 V)))) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (cbrt.f64 A)) (sqrt.f64 l)) (/.f64 (cbrt.f64 A) (sqrt.f64 V))))))
	40.5b	(.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (cbrt.f64 (cbrt.f64 A)) l)))))
	13.7b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	19.9b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))))
	48.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (sqrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))
	17.8b	(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))))
	28.2b	(.f64 (.f64 (sqrt.f64 (/.f64 1 l)) c0) (pow.f64 (pow.f64 (/.f64 A V) 1/6) 3))
	8.1b	(.f64 (.f64 c0 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
	7.8b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (cbrt.f64 c0)))
▶	7.4b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1))))))
	18.4b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (cbrt.f64 c0)))
✓	17.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	38.5b	(/.f64 (.f64 c0 (/.f64 (pow.f64 (pow.f64 A 1/6) 3) (fabs.f64 (cbrt.f64 V)))) (sqrt.f64 (.f64 l (cbrt.f64 V))))
	36.3b	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))
✓	7.5b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))
	32.2b	(/.f64 (.f64 c0 (.f64 (cbrt.f64 A) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))))) (fabs.f64 (cbrt.f64 V)))
	18.0b	(.f64 c0 (sqrt.f64 (/.f64 (/.f64 A (.f64 (cbrt.f64 V) (cbrt.f64 V))) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
	37.2b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))
	15.2b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (.f64 (/.f64 (cbrt.f64 -1) l) (cbrt.f64 (.f64 (pow.f64 V -1) (pow.f64 (/.f64 -1 A) -1)))))))
	40.8b	(.f64 (.f64 c0 (sqrt.f64 (*.f64 (cbrt.f64 A) (sqrt.f64 (cbrt.f64 A))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (sqrt.f64 (cbrt.f64 A)) l)))))
	7.8b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 l (cbrt.f64 V)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))))) (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 l (cbrt.f64 V)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))))))) (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))))))
	48.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (sqrt.f64 l))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (sqrt.f64 l))))))
	35.8b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 A)) (/.f64 l (/.f64 (cbrt.f64 (sqrt.f64 A)) (cbrt.f64 V)))))))
	37.5b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (cbrt.f64 (/.f64 A (pow.f64 (*.f64 l (cbrt.f64 V)) 3))))))
	9.9b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (exp.f64 (log.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))))
	15.1b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 1 l)))))
	19.3b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	35.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))

Compiler

Compiled 2579 to 1232 computations (52.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
1.7b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1))))))
2.8b	(*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))
4.8b	(sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1))))

rewrite408.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

206×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
166×	`cbrt-prod_binary64`
101×	`associate-r_binary64`
100×	`*-un-lft-identity_binary64`

Counts

4 → 221

Calls

4 calls:

45.0ms	(*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))
21.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1))))))
13.0ms	(sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1))))
1.0ms	(cbrt.f64 A)

Compiler

Compiled 7270 to 4001 computations (45% saved)

series270.0ms (2.6%)

Error

1.3b

Counts

4 → 33

Calls

4 calls:

111.0ms	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1))))))
69.0ms	(*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))
61.0ms	(sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1))))
13.0ms	(cbrt.f64 A)

Compiler

Compiled 2389 to 1753 computations (26.6% saved)

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

645×	`times-frac_binary64`
445×	`associate-l_binary64`
407×	`associate-*r/_binary64`
404×	`*-commutative_binary64`
325×	`associate-/l*_binary64`

Counts

254 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	6922
1	1217	6353
2	3844	6288
3	4991	6288

prune143.0ms (1.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	148	8	156
Fresh	9	18	27
Picked	1	0	1
Done	1	1	2
Total	159	27	186

Error

0.1b

Counts

186 → 27

Alt Table

Status	Error	Program
	5.1b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l))) (*.f64 (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)) (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))
	25.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) V)) (sqrt.f64 (*.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 A) l)))))
	48.4b	(.f64 c0 (.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (cbrt.f64 A)) (sqrt.f64 l)) (/.f64 (cbrt.f64 A) (sqrt.f64 V)))) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (cbrt.f64 A)) (sqrt.f64 l)) (/.f64 (cbrt.f64 A) (sqrt.f64 V))))))
	43.1b	(/.f64 (.f64 c0 (.f64 (cbrt.f64 A) (sqrt.f64 (.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))))) (.f64 (fabs.f64 (cbrt.f64 V)) (sqrt.f64 l)))
	40.5b	(.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (cbrt.f64 (cbrt.f64 A)) l)))))
	13.7b	(.f64 c0 (.f64 (fabs.f64 (cbrt.f64 A)) (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 V l)))))
	50.1b	(/.f64 (.f64 c0 (.f64 (cbrt.f64 A) (sqrt.f64 (.f64 (cbrt.f64 A) (cbrt.f64 (/.f64 -1 V)))))) (.f64 (fabs.f64 (cbrt.f64 V)) (sqrt.f64 (*.f64 l (cbrt.f64 -1)))))
	19.9b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 V (/.f64 (cbrt.f64 A) l))))))
	48.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (sqrt.f64 V)))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (sqrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))
	19.0b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (sqrt.f64 l)) (*.f64 (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)) (/.f64 (cbrt.f64 (cbrt.f64 A)) (sqrt.f64 l)))))))
	7.8b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (cbrt.f64 c0)))
	18.4b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (cbrt.f64 c0)))
	17.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	36.3b	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)) (sqrt.f64 (.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))
	21.5b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (.f64 (.f64 (/.f64 (cbrt.f64 A) l) (sqrt.f64 (cbrt.f64 (/.f64 -1 V)))) (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 V))) (cbrt.f64 -1))))))
	18.0b	(.f64 c0 (sqrt.f64 (/.f64 (/.f64 A (.f64 (cbrt.f64 V) (cbrt.f64 V))) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))
	18.1b	(/.f64 (.f64 c0 (.f64 (sqrt.f64 (*.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))))) (sqrt.f64 l))
	40.8b	(.f64 (.f64 c0 (sqrt.f64 (*.f64 (cbrt.f64 A) (sqrt.f64 (cbrt.f64 A))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 (sqrt.f64 (cbrt.f64 A)) l)))))
	33.5b	(.f64 (sqrt.f64 c0) (.f64 (.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))) (sqrt.f64 c0)))
	48.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (sqrt.f64 l))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (sqrt.f64 l))))))
	35.8b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 A)) (/.f64 l (/.f64 (cbrt.f64 (sqrt.f64 A)) (cbrt.f64 V)))))))
	9.9b	(.f64 c0 (.f64 (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))) (sqrt.f64 (exp.f64 (log.f64 (/.f64 (cbrt.f64 A) (*.f64 l (cbrt.f64 V))))))))
	7.7b	(.f64 (.f64 (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))))) (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V))))))) (cbrt.f64 (.f64 c0 (.f64 (sqrt.f64 (*.f64 (/.f64 (cbrt.f64 A) l) (/.f64 (cbrt.f64 (/.f64 -1 V)) (cbrt.f64 -1)))) (fabs.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)))))))
	17.8b	(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))))
	15.1b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 A))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 V (/.f64 1 l)))))
	19.3b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	35.6b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 (cbrt.f64 A) (.f64 (.f64 (cbrt.f64 V) (cbrt.f64 V)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))))) (sqrt.f64 (/.f64 (cbrt.f64 A) (/.f64 (cbrt.f64 V) (/.f64 (cbrt.f64 A) (cbrt.f64 l)))))))

Compiler

Compiled 3730 to 2056 computations (44.9% saved)

regimes4.5s (42.4%)

Accuracy

Total 1.8b remaining (92.9%)

Threshold costs 0b (0%)

Compiler

Compiled 87636 to 52696 computations (39.9% saved)

bsearch79.0ms (0.8%)

Steps

Iters	Range		Point
10	-4.637661235755382e-295	-2.3747859399105486e-308	-2.422717907213279e-308

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`fabs-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	82
1	41	82
2	41	82

end8.0ms (0.1%)

Compiler: Compiled 162 to 105 computations (35.2% saved)

sample1.8s (17.3%)

Algorithm

1×

intervals

Results

448.0ms	8000×	body	128	valid
144.0ms	2913×	body	128	nan
39.0ms	893×	body	128	invalid

Compiler

Compiled 810 to 504 computations (37.8% saved)

Details

analyze786.0ms (7.5%)

sample46.0ms (0.4%)

simplify9.0ms (0.1%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite72.0ms (0.7%)

series70.0ms (0.7%)

simplify112.0ms (1.1%)

prune27.0ms (0.3%)

localize12.0ms (0.1%)

rewrite508.0ms (4.8%)

series152.0ms (1.4%)

simplify445.0ms (4.2%)

prune246.0ms (2.3%)

localize16.0ms (0.2%)

rewrite120.0ms (1.1%)

series288.0ms (2.7%)

simplify120.0ms (1.1%)

prune88.0ms (0.8%)

localize23.0ms (0.2%)

rewrite408.0ms (3.9%)

series270.0ms (2.6%)

simplify161.0ms (1.5%)

prune143.0ms (1.4%)

regimes4.5s (42.4%)

bsearch79.0ms (0.8%)

simplify5.0ms (0%)

end8.0ms (0.1%)

sample1.8s (17.3%)

Profiling