Details

analyze639.0ms (6.5%)

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)

sample57.0ms (0.6%)

Algorithm

1×

intervals

Symmetry

(sort V l)

Results

12.0ms	256×	body	128	valid
6.0ms	115×	body	128	nan
2.0ms	34×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify8.0ms (0.1%)

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

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

19.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	19.2b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	4.8b	(/.f64 A (*.f64 V l))
✓	17.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series128.0ms (1.3%)

Counts

3 → 12

Calls

3 calls:

70.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
40.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.0ms	(/.f64 A (*.f64 V l))

rewrite16.0ms (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:

6.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
3.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify96.0ms (1%)

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 → 86

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

prune84.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	11	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	12	87

Error

9.2b

Counts

87 → 12

Alt Table

Status	Error	Program
	49.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	19.5b	(.f64 c0 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (/.f64 (*.f64 V l) (cbrt.f64 A)))))
	38.2b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
▶	18.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
✓	19.2b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	19.8b	(.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))))))
	51.4b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
	19.3b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	38.7b	(.f64 (sqrt.f64 c0) (.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))
	38.2b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	43.4b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	19.5b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))

Compiler

Compiled 1592 to 545 computations (65.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 A)
✓	0.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
✓	4.3b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	17.4b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series180.0ms (1.8%)

Counts

4 → 60

Calls

4 calls:

71.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
42.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
36.0ms	(cbrt.f64 A)
30.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
27×	`add-exp-log_binary64`
26×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64`

Counts

4 → 114

Calls

4 calls:

12.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
6.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms	(cbrt.f64 A)

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64`
401×	`*-commutative_binary64`
383×	`associate-/l/_binary64`
276×	`unswap-sqr_binary64`
275×	`associate-/r*_binary64`

Counts

174 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2248
1	429	1954
2	1568	1941
3	3749	1927
4	4729	1927
5	4945	1927
6	4963	1927

prune188.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	213	10	223
Fresh	6	4	10
Picked	0	1	1
Done	1	0	1
Total	220	15	235

Error

4.8b

Counts

235 → 15

Alt Table

Status	Error	Program
	19.3b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	18.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (.f64 (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))) (cbrt.f64 (cbrt.f64 A)))) V) (/.f64 (cbrt.f64 A) l))))
	38.2b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
✓	18.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	43.4b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0) 3))
	19.1b	(.f64 (.f64 (cbrt.f64 c0) (cbrt.f64 c0)) (.f64 (cbrt.f64 c0) (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	23.8b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	49.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	18.9b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (cbrt.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)) (/.f64 (cbrt.f64 A) l)))))
	53.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (log.f64 (exp.f64 (cbrt.f64 A))) l))))
	19.2b	(.f64 1 (.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))
▶	18.9b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	25.3b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	25.5b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	51.7b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))

Compiler

Compiled 5177 to 1463 computations (71.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	4.3b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	17.4b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
✓	19.3b	(cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series964.0ms (9.8%)

Counts

3 → 48

Calls

3 calls:

803.0ms

(cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

96.0ms

(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))

65.0ms

(sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))

rewrite100.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

291×	`cbrt-div_binary64`
259×	`frac-times_binary64`
190×	`associate-*r/_binary64`
151×	`associate-*l/_binary64`
126×	`sqrt-div_binary64`

Counts

3 → 187

Calls

3 calls:

18.0ms

(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))

10.0ms

(sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))

7.0ms

(cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

simplify219.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

554×	`associate-l_binary64`
414×	`associate-r_binary64`
267×	`associate-*r/_binary64`
249×	`fma-def_binary64`
244×	`*-commutative_binary64`

Counts

235 → 286

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	419	5387
1	464	5309
2	1053	5257
3	4371	5161
4	4965	5161
5	4977	5161

prune608.0ms (6.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	654	7	661
Fresh	5	8	13
Picked	0	1	1
Done	1	0	1
Total	660	16	676

Error

4.7b

Counts

676 → 16

Alt Table

Status	Error	Program
▶	18.9b	(.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	25.3b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	19.2b	(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
	25.5b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	21.9b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))))) (sqrt.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l))))
	51.7b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
	25.8b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 A (.f64 V l))) (.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 (/.f64 A l)))))) (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V))))
	20.1b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 A) (.f64 (cbrt.f64 A) (cbrt.f64 (/.f64 A (.f64 V l))))))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 V l)) (cbrt.f64 (*.f64 V l)))))
	49.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	25.7b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))))) (sqrt.f64 (.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 l))))
	19.3b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	53.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (log.f64 (exp.f64 (cbrt.f64 A))) l))))
	38.2b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	34.3b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 A (.f64 V l))) (.f64 (cbrt.f64 A) (cbrt.f64 (/.f64 A l))))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 V l)) (cbrt.f64 V)))))
✓	18.9b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	23.8b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))

Compiler

Compiled 31495 to 4082 computations (87% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 A)
	4.3b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	7.9b	(sqrt.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	19.3b	(cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series806.0ms (8.2%)

Counts

1 → 36

Calls

1 calls:

806.0ms

(sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-div_binary64`
17×	`frac-times_binary64`
15×	`sqrt-div_binary64`
11×	`associate-*r/_binary64`
11×	`associate-*l/_binary64`

Counts

1 → 36

Calls

1 calls:

7.0ms

(sqrt.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

769×	`exp-sum_binary64`
512×	`fma-neg_binary64`
490×	`div-sub_binary64`
411×	`exp-diff_binary64`
207×	`associate-+l+_binary64`

Counts

72 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1274
1	226	1207
2	391	1171
3	1089	967
4	2849	893
5	5111	893

prune635.0ms (6.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	637	0	637
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	637	16	653

Error

4.7b

Counts

653 → 16

Alt Table

Status	Error	Program
✓	18.9b	(.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))) (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	25.3b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	19.2b	(.f64 (sqrt.f64 (/.f64 A (.f64 V l))) c0)
	25.5b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	21.9b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))))) (sqrt.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l))))
	51.7b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))
	25.8b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 A (.f64 V l))) (.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 (/.f64 A l)))))) (sqrt.f64 (*.f64 (cbrt.f64 V) (cbrt.f64 V))))
	20.1b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (cbrt.f64 A) (.f64 (cbrt.f64 A) (cbrt.f64 (/.f64 A (.f64 V l))))))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 V l)) (cbrt.f64 (*.f64 V l)))))
	49.9b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V))) (sqrt.f64 (/.f64 (cbrt.f64 A) l)))
	25.7b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))))) (sqrt.f64 (.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (cbrt.f64 l))))
	19.3b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	53.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (log.f64 (exp.f64 (cbrt.f64 A))) l))))
	38.2b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	34.3b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 A (.f64 V l))) (.f64 (cbrt.f64 A) (cbrt.f64 (/.f64 A l))))) (sqrt.f64 (.f64 (cbrt.f64 (.f64 V l)) (cbrt.f64 V)))))
✓	18.9b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))) (cbrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	23.8b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))

Compiler

Compiled 31769 to 4420 computations (86.1% saved)

regimes3.3s (33.1%)

Accuracy

Total 4.3b remaining (43.8%)

Threshold costs 0b (0%)

Counts

175 → 4

Compiler

Compiled 44755 to 22098 computations (50.6% saved)

bsearch8.0ms (0.1%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	38	84
2	37	84

end8.0ms (0.1%)

Compiler: Compiled 177 to 84 computations (52.5% saved)

sample1.6s (15.8%)

Algorithm

1×

intervals

Results

398.0ms	8000×	body	128	valid
144.0ms	3020×	body	128	nan
44.0ms	929×	body	128	invalid

Compiler

Compiled 512 to 251 computations (51% saved)

Details

analyze639.0ms (6.5%)

sample57.0ms (0.6%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series128.0ms (1.3%)

rewrite16.0ms (0.2%)

simplify96.0ms (1%)

prune84.0ms (0.9%)

localize10.0ms (0.1%)

series180.0ms (1.8%)

rewrite38.0ms (0.4%)

simplify126.0ms (1.3%)

prune188.0ms (1.9%)

localize14.0ms (0.1%)

series964.0ms (9.8%)

rewrite100.0ms (1%)

simplify219.0ms (2.2%)

prune608.0ms (6.2%)

localize17.0ms (0.2%)

series806.0ms (8.2%)

rewrite11.0ms (0.1%)

simplify74.0ms (0.7%)

prune635.0ms (6.4%)

regimes3.3s (33.1%)

bsearch8.0ms (0.1%)

simplify3.0ms (0%)

end8.0ms (0.1%)

sample1.6s (15.8%)

Profiling