Details

analyze87.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.2s (25.5%)

Results

1.2s	8256×	body	128	valid
13.0ms	172×	body	128	invalid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	10	7
3	10	7

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x y) y)

Compiler

Compiled 26 to 13 computations (50% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x y) y)

series8.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) y)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x y) y)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
373×	`associate-l_binary64`
319×	`unswap-sqr_binary64`
312×	`associate-*r/_binary64`
263×	`associate-*l/_binary64`

Counts

44 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	389
1	95	344
2	300	344
3	591	342
4	859	342
5	1608	342
6	4153	342
7	4970	342

prune20.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

0.0b

Counts

32 → 6

Alt Table

Status	Error	Program
	9.5b	(*.f64 (pow.f64 y 2) x)
	30.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	23.4b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
▶	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
✓	0.2b	(.f64 (.f64 x y) y)

Compiler

Compiled 442 to 151 computations (65.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x y) y)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
✓	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	19.9b	(cbrt.f64 (.f64 (.f64 x y) y))

series1.1s (22.5%)

Counts

3 → 72

Calls

3 calls:

599.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))

475.0ms

(cbrt.f64 (*.f64 (*.f64 x y) y))

23.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

7.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))

4.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))

2.0ms

(cbrt.f64 (*.f64 (*.f64 x y) y))

simplify149.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

651×	`unswap-sqr_binary64`
407×	`fma-neg_binary64`
356×	`fma-def_binary64`
202×	`exp-prod_binary64`
202×	`log-prod_binary64`

Counts

151 → 129

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2312
1	275	1992
2	681	1634
3	1466	1454
4	4527	1450
5	4958	1450
6	4975	1450

prune191.0ms (3.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	272	4	276
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	273	9	282

Error

0.0b

Counts

282 → 9

Alt Table

Status	Error	Program
	30.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.8b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 (.f64 y x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))))
	1.1b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	9.5b	(*.f64 (pow.f64 y 2) x)
	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	23.4b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	0.8b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 x y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)

Compiler

Compiled 6806 to 1399 computations (79.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	0.6b	(cbrt.f64 y)
✓	9.8b	(cbrt.f64 (*.f64 x y))
	19.9b	(cbrt.f64 (.f64 (.f64 x y) y))

series662.0ms (13.6%)

Counts

3 → 60

Calls

3 calls:

375.0ms	(cbrt.f64 (*.f64 x y))
257.0ms	(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (*.f64 x y) y)))
29.0ms	(cbrt.f64 y)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`

Counts

3 → 50

Calls

3 calls:

4.0ms	(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (*.f64 x y) y)))
3.0ms	(cbrt.f64 (*.f64 x y))
1.0ms	(cbrt.f64 y)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
594×	`associate-l_binary64`
520×	`associate-r_binary64`
400×	`unswap-sqr_binary64`
315×	`fma-neg_binary64`

Counts

110 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1230
1	197	1226
2	532	1133
3	2104	1042
4	4363	1042
5	5067	1042

prune115.0ms (2.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	140	10	150

Error

0.0b

Counts

150 → 10

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 (.f64 y x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (.f64 x y) y)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))))
	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	1.1b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (.f64 (.f64 x y) y))))) (cbrt.f64 (.f64 (.f64 x y) y)))
	9.5b	(*.f64 (pow.f64 y 2) x)
✓	0.8b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	23.4b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
▶	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 y (cbrt.f64 x))) (cbrt.f64 (.f64 (.f64 x y) y)))
	0.8b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 x y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)

Compiler

Compiled 4040 to 991 computations (75.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 (.f64 x y)) (*.f64 y (cbrt.f64 x)))
✓	0.5b	(cbrt.f64 x)
	9.8b	(cbrt.f64 (*.f64 x y))
	19.9b	(cbrt.f64 (.f64 (.f64 x y) y))

series600.0ms (12.3%)

Counts

2 → 36

Calls

2 calls:

547.0ms	(.f64 (cbrt.f64 (.f64 x y)) (*.f64 y (cbrt.f64 x)))
53.0ms	(cbrt.f64 x)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`

Counts

2 → 34

Calls

2 calls:

5.0ms	(.f64 (cbrt.f64 (.f64 x y)) (*.f64 y (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-def_binary64`
735×	`associate-l_binary64`
579×	`associate-r_binary64`
537×	`unswap-sqr_binary64`
324×	`log-prod_binary64`

Counts

70 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	1091
1	230	936
2	626	808
3	2356	761
4	4275	761
5	5155	761

prune113.0ms (2.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	101	12	113

Error

Counts

113 → 12

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 (.f64 y x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (.f64 x y) y)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))))
	1.0b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	1.1b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (.f64 (.f64 x y) y))))) (cbrt.f64 (.f64 (.f64 x y) y)))
	9.5b	(*.f64 (pow.f64 y 2) x)
✓	0.8b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	23.4b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
✓	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 y (cbrt.f64 x))) (cbrt.f64 (.f64 (.f64 x y) y)))
	0.8b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 x y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) y)
	31.9b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 y (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) (cbrt.f64 (.f64 (*.f64 x y) y)))
	1.1b	(.f64 (.f64 (cbrt.f64 (.f64 x y)) (.f64 y (cbrt.f64 x))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))))

Compiler

Compiled 2421 to 717 computations (70.4% saved)

regimes184.0ms (3.8%)

Accuracy

Total 0.1b remaining (82.7%)

Threshold costs 0.1b (82.7%)

Counts

67 → 1

Compiler

Compiled 4100 to 2026 computations (50.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end123.0ms (2.5%)

Compiler: Compiled 280 to 124 computations (55.7% saved)

Details

analyze87.0ms (1.8%)

sample1.2s (25.5%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify58.0ms (1.2%)

prune20.0ms (0.4%)

localize7.0ms (0.1%)

series1.1s (22.5%)

rewrite18.0ms (0.4%)

simplify149.0ms (3.1%)

prune191.0ms (3.9%)

localize10.0ms (0.2%)

series662.0ms (13.6%)

rewrite10.0ms (0.2%)

simplify78.0ms (1.6%)

prune115.0ms (2.4%)

localize11.0ms (0.2%)

series600.0ms (12.3%)

rewrite7.0ms (0.1%)

simplify71.0ms (1.5%)

prune113.0ms (2.3%)

regimes184.0ms (3.8%)

simplify2.0ms (0%)

end123.0ms (2.5%)

Profiling