Details

analyze1.1s (8.9%)

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
0%	87.3%	12.7%	8
0%	79.5%	20.5%	9
0%	79.5%	20.5%	10
0%	75.6%	24.4%	11
0%	71.3%	28.7%	12
0.2%	66.3%	33.6%	13
0.5%	65.9%	33.6%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.8s (15.5%)

Symmetry

(sort V l)

Results

1.0s	8256×	body	128	valid
444.0ms	3462×	body	128	invalid
325.0ms	461×	body	8192	exit

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify6.0ms (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

20.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	20.8b	(.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))))
✓	6.8b	(/.f64 A (*.f64 V l))
✓	15.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

series123.0ms (1%)

Counts

3 → 12

Calls

3 calls:

65.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
38.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.0ms	(/.f64 A (*.f64 V l))

rewrite17.0ms (0.1%)

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:

9.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
3.0ms	(/.f64 A (*.f64 V l))
2.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify96.0ms (0.8%)

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

prune78.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	74	12	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	13	87

Error

10.0b

Counts

87 → 13

Alt Table

Status	Error	Program
	21.1b	(.f64 (.f64 c0 (fabs.f64 (cbrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (cbrt.f64 (/.f64 A (.f64 V l)))))
	21.0b	(.f64 c0 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))))
	39.8b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
▶	19.0b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
	36.9b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))
	47.5b	(cbrt.f64 (.f64 (.f64 (.f64 c0 c0) c0) (.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (/.f64 A (.f64 V l))))))
	38.7b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	50.7b	(.f64 c0 (.f64 (sqrt.f64 (/.f64 1 V)) (sqrt.f64 (/.f64 A l))))
✓	20.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	51.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
	49.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	21.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	21.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))

Compiler

Compiled 1646 to 571 computations (65.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 A)
✓	0.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
✓	4.8b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
✓	15.3b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

series178.0ms (1.5%)

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))))
40.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
35.0ms	(cbrt.f64 A)
31.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))

rewrite36.0ms (0.3%)

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:

11.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
8.0ms	(.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)

simplify137.0ms (1.1%)

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

prune163.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	216	7	223
Fresh	4	7	11
Picked	1	0	1
Done	0	1	1
Total	221	15	236

Error

4.9b

Counts

236 → 15

Alt Table

Status	Error	Program
	39.8b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	26.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	47.5b	(cbrt.f64 (.f64 (.f64 (.f64 c0 c0) c0) (.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (/.f64 A (.f64 V l))))))
	37.0b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	21.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	25.1b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	26.2b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	55.9b	(log.f64 (exp.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	38.7b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
✓	20.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
▶	19.1b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))))
	51.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
	49.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	24.8b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	21.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))

Compiler

Compiled 5144 to 1464 computations (71.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))
✓	2.6b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l))))
✓	4.4b	(cbrt.f64 (/.f64 (cbrt.f64 A) l))
✓	15.3b	(sqrt.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l))))

series2.7s (22.3%)

Counts

4 → 96

Calls

4 calls:

1.9s	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l))))
677.0ms	(cbrt.f64 (/.f64 (cbrt.f64 A) l))
45.0ms	(sqrt.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l))))
44.0ms	(.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))

rewrite79.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`cbrt-prod_binary64`
57×	`cbrt-div_binary64`
54×	`add-exp-log_binary64`
40×	`times-frac_binary64`
39×	`frac-times_binary64`

Counts

4 → 172

Calls

4 calls:

22.0ms	(.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))
17.0ms	(sqrt.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l))))
15.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l))))
2.0ms	(cbrt.f64 (/.f64 (cbrt.f64 A) l))

simplify176.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

803×	`associate-/l*_binary64`
550×	`times-frac_binary64`
381×	`associate-l_binary64`
301×	`associate-/r*_binary64`
285×	`associate-r_binary64`

Counts

268 → 228

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	7070
1	602	5736
2	2008	5708
3	4976	5708
4	4965	5708

prune264.0ms (2.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	313	3	316
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	314	17	331

Error

3.5b

Counts

331 → 17

Alt Table

Status	Error	Program
	39.8b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	38.8b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (cbrt.f64 A)))) (sqrt.f64 (.f64 V (cbrt.f64 l)))))
	26.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	47.5b	(cbrt.f64 (.f64 (.f64 (.f64 c0 c0) c0) (.f64 (.f64 (sqrt.f64 (/.f64 A (.f64 V l))) (sqrt.f64 (/.f64 A (.f64 V l)))) (sqrt.f64 (/.f64 A (.f64 V l))))))
	37.0b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
	49.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	26.9b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (sqrt.f64 (cbrt.f64 l))))
	21.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
	25.1b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))))
	21.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
▶	14.1b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))) (fabs.f64 (cbrt.f64 l))))
	26.2b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	38.7b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
✓	20.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
✓	19.1b	(.f64 c0 (sqrt.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))))
	51.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 1 V))) (sqrt.f64 (/.f64 A l)))
	24.8b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))

Compiler

Compiled 11455 to 2311 computations (79.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))) (fabs.f64 (cbrt.f64 l))))
✓	2.2b	(.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))
	4.4b	(cbrt.f64 (/.f64 (cbrt.f64 A) l))
✓	12.0b	(sqrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))))))

series1.1s (9.1%)

Counts

3 → 72

Calls

3 calls:

538.0ms

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

446.0ms

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

96.0ms

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

rewrite82.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`times-frac_binary64`
67×	`add-sqr-sqrt_binary64`
49×	`associate-r_binary64`
49×	`cbrt-prod_binary64`
42×	`*-un-lft-identity_binary64`

Counts

3 → 147

Calls

3 calls:

23.0ms

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

17.0ms

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

12.0ms

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

simplify218.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

723×	`times-frac_binary64`
368×	`associate-/r*_binary64`
329×	`associate-r_binary64`
312×	`associate-l_binary64`
269×	`associate-/l/_binary64`

Counts

219 → 249

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	8427
1	706	7242
2	2238	6294
3	4393	5307
4	4863	5307
5	4979	5307

prune280.0ms (2.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	287	6	293
Fresh	5	9	14
Picked	1	0	1
Done	1	1	2
Total	294	16	310

Error

3.5b

Counts

310 → 16

Alt Table

Status	Error	Program
	39.8b	(/.f64 (.f64 c0 (sqrt.f64 A)) (sqrt.f64 (.f64 V l)))
	38.8b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (cbrt.f64 (/.f64 (cbrt.f64 A) l)))) (cbrt.f64 (cbrt.f64 A)))) (sqrt.f64 (.f64 V (cbrt.f64 l)))))
	26.0b	(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))
	14.2b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))) (fabs.f64 (cbrt.f64 l))))) (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))) (fabs.f64 (cbrt.f64 l)))))
	14.2b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))) (cbrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))))))) (cbrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A)))))))) (fabs.f64 (cbrt.f64 l))))
	26.2b	(/.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (cbrt.f64 A)))) (sqrt.f64 l))
	38.7b	(.f64 c0 (.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l)))))
	35.3b	(.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (.f64 V (cbrt.f64 l)))) (fabs.f64 (cbrt.f64 l))))
	14.6b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 A)) 8) V))))) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (*.f64 (cbrt.f64 (cbrt.f64 A)) (cbrt.f64 (cbrt.f64 A))))))) (fabs.f64 (cbrt.f64 l))))
	21.0b	(.f64 (.f64 c0 (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l))))) (sqrt.f64 (sqrt.f64 (/.f64 A (.f64 V l)))))
	37.0b	(.f64 (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))) (sqrt.f64 (.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))))
✓	20.8b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
	13.1b	(.f64 c0 (/.f64 (sqrt.f64 (.f64 (/.f64 A V) (cbrt.f64 (/.f64 1 l)))) (fabs.f64 (cbrt.f64 l))))
	49.1b	(.f64 (.f64 c0 (sqrt.f64 (/.f64 (sqrt.f64 A) V))) (sqrt.f64 (/.f64 (sqrt.f64 A) l)))
	24.8b	(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))
	56.1b	(log.f64 (pow.f64 (exp.f64 c0) (/.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 A) l)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 A)) 8) V))) (cbrt.f64 l))))

Compiler

Compiled 11984 to 2377 computations (80.2% saved)

regimes2.9s (24.4%)

Accuracy

Total 3.9b remaining (48.2%)

Threshold costs 0b (0%)

Counts

172 → 4

Compiler

Compiled 45874 to 24710 computations (46.1% saved)

bsearch9.0ms (0.1%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	139
1	60	139
2	59	139

end368.0ms (3.1%)

Compiler: Compiled 806 to 401 computations (50.2% saved)

Details

analyze1.1s (8.9%)

sample1.8s (15.5%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series123.0ms (1%)

rewrite17.0ms (0.1%)

simplify96.0ms (0.8%)

prune78.0ms (0.7%)

localize9.0ms (0.1%)

series178.0ms (1.5%)

rewrite36.0ms (0.3%)

simplify137.0ms (1.1%)

prune163.0ms (1.4%)

localize14.0ms (0.1%)

series2.7s (22.3%)

rewrite79.0ms (0.7%)

simplify176.0ms (1.5%)

prune264.0ms (2.2%)

localize20.0ms (0.2%)

series1.1s (9.1%)

rewrite82.0ms (0.7%)

simplify218.0ms (1.8%)

prune280.0ms (2.4%)

regimes2.9s (24.4%)

bsearch9.0ms (0.1%)

simplify6.0ms (0.1%)

end368.0ms (3.1%)

Profiling