Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample680.0ms (10.7%)

Results

647.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify8.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (.f64 x y) y)

Compiler

Compiled 26 to 13 computations (50% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)

series11.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite9.0ms (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:

7.0ms

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

simplify80.0ms (1.3%)

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 (0.3%)

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
	34.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.7b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	23.7b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
	6.9b	(*.f64 (pow.f64 y 2) x)
✓	0.1b	(.f64 (.f64 x y) y)

Compiler

Compiled 442 to 151 computations (65.8% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.2b	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
✓	0.6b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)

series952.0ms (15%)

Counts

4 → 72

Calls

4 calls:

730.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
97.0ms	(cbrt.f64 y)
80.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
44.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

rewrite69.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`pow1_binary64`
36×	`add-exp-log_binary64`
23×	`pow-prod-down_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`cbrt-unprod_binary64`

Counts

4 → 111

Calls

4 calls:

32.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
9.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
9.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

simplify292.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

501×	`*-commutative_binary64`
399×	`sqr-pow_binary64`
371×	`log-prod_binary64`
354×	`exp-prod_binary64`
292×	`associate-l_binary64`

Counts

183 → 150

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	125	1908
1	266	1583
2	1044	1476
3	1887	1448
4	3778	1300
5	4522	1296
6	4797	1296
7	4856	1296

prune261.0ms (4.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	184	8	192

Error

0.0b

Counts

192 → 8

Alt Table

Status	Error	Program
	23.7b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
	0.9b	(.f64 (.f64 (.f64 x y) (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y))))) (cbrt.f64 y))
	34.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.7b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
	6.9b	(*.f64 (pow.f64 y 2) x)
	4.0b	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
✓	0.1b	(.f64 (.f64 x y) y)

Compiler

Compiled 3204 to 871 computations (72.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.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)))
✓	0.3b	(.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	29.8b	(cbrt.f64 (.f64 (.f64 x y) y))

series1.9s (29.4%)

Counts

3 → 72

Calls

3 calls:

1.0s

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

795.0ms

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

42.0ms

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

rewrite40.0ms (0.6%)

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:

14.0ms

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

12.0ms

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

5.0ms

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

simplify207.0ms (3.3%)

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

prune429.0ms (6.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	276	8	284

Error

0.0b

Counts

284 → 8

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)
	0.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (.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)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	34.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.7b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
	6.9b	(*.f64 (pow.f64 y 2) x)
	4.0b	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
▶	0.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (.f64 x y) y)))

Compiler

Compiled 6710 to 1357 computations (79.8% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
	0.6b	(cbrt.f64 y)
✓	13.9b	(cbrt.f64 (*.f64 x y))
	29.8b	(cbrt.f64 (.f64 (.f64 x y) y))

series684.0ms (10.8%)

Counts

1 → 24

Calls

1 calls:

684.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`cbrt-prod_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

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

simplify104.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

776×	`unswap-sqr_binary64`
540×	`fma-def_binary64`
408×	`fma-neg_binary64`
294×	`times-frac_binary64`
245×	`div-sub_binary64`

Counts

35 → 19

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	47	460
1	87	460
2	132	404
3	319	292
4	780	292
5	1796	282
6	4748	282
7	4920	282

prune243.0ms (3.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	157	8	165

Error

0.0b

Counts

165 → 8

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)
	0.9b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (.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)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	34.4b	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.7b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
	6.9b	(*.f64 (pow.f64 y 2) x)
	4.0b	(.f64 (.f64 x (.f64 y (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
✓	0.7b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (.f64 (.f64 x y) y)))

Compiler

Compiled 4279 to 911 computations (78.7% saved)

regimes150.0ms (2.4%)

Accuracy

Total 0.1b remaining (77%)

Threshold costs 0.1b (77%)

Counts

26 → 1

Compiler

Compiled 1346 to 673 computations (50% saved)

simplify4.0ms (0.1%)

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

end172.0ms (2.7%)

Compiler: Compiled 152 to 65 computations (57.2% saved)

Details

analyze2.0ms (0%)

sample680.0ms (10.7%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize3.0ms (0.1%)

series11.0ms (0.2%)

rewrite9.0ms (0.1%)

simplify80.0ms (1.3%)

prune20.0ms (0.3%)

localize6.0ms (0.1%)

series952.0ms (15%)

rewrite69.0ms (1.1%)

simplify292.0ms (4.6%)

prune261.0ms (4.1%)

localize15.0ms (0.2%)

series1.9s (29.4%)

rewrite40.0ms (0.6%)

simplify207.0ms (3.3%)

prune429.0ms (6.8%)

localize24.0ms (0.4%)

series684.0ms (10.8%)

rewrite4.0ms (0.1%)

simplify104.0ms (1.6%)

prune243.0ms (3.8%)

regimes150.0ms (2.4%)

simplify4.0ms (0.1%)

end172.0ms (2.7%)

Profiling