Details

analyze93.0ms (5.4%)

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%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample747.0ms (43.6%)

Results

703.0ms	8256×	body	128	valid
8.0ms	97×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-l_binary64`
13×	`associate-r_binary64`
8×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	25	10
3	37	10
4	35	10
5	35	10

prune2.0ms (0.1%)

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

10.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	10.2b	(.f64 (.f64 (*.f64 x 3) x) y)

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x 3) x)
✓	9.9b	(.f64 (.f64 (*.f64 x 3) x) y)

series16.0ms (0.9%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
6.0ms	(.f64 (.f64 x 3) x)

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 43

Calls

2 calls:

5.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
3.0ms	(.f64 (.f64 x 3) x)

simplify58.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-*r/_binary64`
375×	`associate-*l/_binary64`
339×	`*-commutative_binary64`
290×	`fma-def_binary64`
282×	`associate-/l*_binary64`

Counts

79 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	876
1	161	768
2	584	759
3	876	757
4	1256	757
5	2112	757
6	4966	757

prune51.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	8	66

Error

0.1b

Counts

66 → 8

Alt Table

Status	Error	Program
	37.9b	(.f64 (.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) y)
	10.2b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	10.7b	(.f64 (.f64 (.f64 3 (.f64 x x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	28.0b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
	10.8b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 x 3) x) y)) (cbrt.f64 (.f64 (.f64 (.f64 x 3) x) y))) (cbrt.f64 (.f64 (.f64 (*.f64 x 3) x) y)))
✓	10.2b	(.f64 (.f64 (*.f64 x 3) x) y)
	10.2b	(.f64 3 (.f64 y (pow.f64 x 2)))

Compiler

Compiled 997 to 578 computations (42% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))

series12.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

12.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
13×	`pow1_binary64`
8×	`cbrt-unprod_binary64`
8×	`prod-exp_binary64`

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3) (*.f64 x y))

simplify76.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

395×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`
340×	`associate-+l+_binary64`
315×	`*-commutative_binary64`
265×	`sqr-pow_binary64`

Counts

48 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	607
1	126	517
2	460	517
3	693	517
4	986	517
5	1692	517
6	3166	517
7	4660	517
8	4916	517

prune28.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	32	8	40

Error

0.0b

Counts

40 → 8

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (cbrt.f64 (.f64 (.f64 x 3) (.f64 x y)))) (cbrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))
	37.9b	(.f64 (.f64 (.f64 (.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) y)
	10.2b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	10.7b	(.f64 (.f64 (.f64 3 (.f64 x x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	28.0b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
▶	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
	23.2b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (sqrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))

Compiler

Compiled 645 to 349 computations (45.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
✓	0.3b	(.f64 3 (.f64 x y))

series19.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(.f64 x (.f64 3 (*.f64 x y)))
4.0ms	(.f64 3 (.f64 x y))

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 43

Calls

2 calls:

5.0ms	(.f64 x (.f64 3 (*.f64 x y)))
4.0ms	(.f64 3 (.f64 x y))

simplify76.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

344×	`*-commutative_binary64`
339×	`associate-+l+_binary64`
329×	`associate-*r/_binary64`
308×	`associate-*l/_binary64`
268×	`log-div_binary64`

Counts

91 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	956
1	150	848
2	519	848
3	801	846
4	1133	846
5	1889	846
6	4731	846
7	5047	846

prune55.0ms (3.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	61	9	70

Error

0.0b

Counts

70 → 9

Alt Table

Status	Error	Program
	10.7b	(.f64 (.f64 (.f64 3 (.f64 x x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	0.2b	(.f64 x (.f64 (*.f64 3 x) y))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	0.4b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
	28.0b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
	26.7b	(.f64 x (.f64 (sqrt.f64 (.f64 3 (.f64 x y))) (sqrt.f64 (.f64 3 (.f64 x y)))))
▶	0.2b	(.f64 (.f64 3 (*.f64 x y)) x)
	10.2b	(pow.f64 (.f64 3 (.f64 y (*.f64 x x))) 1)
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (cbrt.f64 (.f64 (.f64 x 3) (.f64 x y)))) (cbrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))

Compiler

Compiled 1022 to 561 computations (45.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 (*.f64 x y)) x)
	0.3b	(.f64 3 (.f64 x y))

series10.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 (*.f64 3 (*.f64 x y)) x)

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
10×	`pow1_binary64`
6×	`cbrt-unprod_binary64`
6×	`prod-exp_binary64`

Counts

1 → 23

Calls

1 calls:

5.0ms

(*.f64 (*.f64 3 (*.f64 x y)) x)

simplify80.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
347×	`sqr-pow_binary64`
320×	`log-div_binary64`
316×	`*-commutative_binary64`
242×	`associate-/l*_binary64`

Counts

47 → 33

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	583
1	141	511
2	525	511
3	850	509
4	1189	509
5	2069	509
6	3406	509
7	4756	509
8	5048	509

prune52.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	64	7	71

Error

0.0b

Counts

71 → 7

Alt Table

Status	Error	Program
	10.7b	(.f64 (.f64 (.f64 3 (.f64 x x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	0.2b	(.f64 x (.f64 (*.f64 3 x) y))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	0.4b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
	28.0b	(.f64 (sqrt.f64 (.f64 3 (.f64 y (.f64 x x)))) (sqrt.f64 (.f64 3 (.f64 y (*.f64 x x)))))
	10.2b	(pow.f64 (.f64 3 (.f64 y (*.f64 x x))) 1)
	0.2b	(.f64 3 (.f64 (*.f64 x y) x))

Compiler

Compiled 852 to 452 computations (46.9% saved)

regimes206.0ms (12%)

Accuracy

Total 0.2b remaining (89.7%)

Threshold costs 0.2b (89.7%)

Counts

57 → 1

Compiler

Compiled 3395 to 2315 computations (31.8% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	10	10

end75.0ms (4.4%)

Compiler: Compiled 107 to 71 computations (33.6% saved)

Details

analyze93.0ms (5.4%)

sample747.0ms (43.6%)

simplify6.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series16.0ms (0.9%)

rewrite10.0ms (0.6%)

simplify58.0ms (3.4%)

prune51.0ms (3%)

localize4.0ms (0.2%)

series12.0ms (0.7%)

rewrite6.0ms (0.4%)

simplify76.0ms (4.4%)

prune28.0ms (1.6%)

localize4.0ms (0.2%)

series19.0ms (1.1%)

rewrite10.0ms (0.6%)

simplify76.0ms (4.4%)

prune55.0ms (3.2%)

localize4.0ms (0.2%)

series10.0ms (0.6%)

rewrite6.0ms (0.4%)

simplify80.0ms (4.6%)

prune52.0ms (3.1%)

regimes206.0ms (12%)

simplify5.0ms (0.3%)

end75.0ms (4.4%)

Profiling