Details

analyze135.0ms (3.9%)

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)

sample1.3s (37.5%)

Results

1.2s	8256×	body	128	valid
14.0ms	101×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify12.0ms (0.3%)

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

prune5.0ms (0.2%)

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)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
✓	9.7b	(.f64 (.f64 (*.f64 x 3) x) y)

series22.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

17.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
4.0ms	(.f64 (.f64 x 3) x)

rewrite21.0ms (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:

9.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
7.0ms	(.f64 (.f64 x 3) x)

simplify107.0ms (3.1%)

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

prune112.0ms (3.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Error

0.1b

Counts

66 → 7

Alt Table

Status	Error	Program
	40.4b	(.f64 (.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x)) y)
	25.9b	(.f64 (sqrt.f64 (.f64 (.f64 (.f64 x 3) x) y)) (sqrt.f64 (.f64 (.f64 (*.f64 x 3) x) y)))
	40.8b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 3 3) 3)) (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) y)))
	10.3b	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (.f64 x 3) x))) y)
	10.2b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	10.2b	(.f64 3 (.f64 y (pow.f64 x 2)))
▶	0.2b	(.f64 (.f64 x 3) (*.f64 x y))

Compiler

Compiled 984 to 576 computations (41.5% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series17.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

17.0ms

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

rewrite12.0ms (0.3%)

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:

10.0ms

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

simplify107.0ms (3.1%)

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

prune57.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Error

0.0b

Counts

39 → 8

Alt Table

Status	Error	Program
	40.4b	(.f64 (.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x)) y)
▶	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
	20.9b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (sqrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))
	0.9b	(.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))))
	28.5b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x y)) (.f64 (.f64 x 3) (.f64 x y))) (.f64 (.f64 x 3) (*.f64 x y))))
	10.2b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	10.2b	(.f64 3 (.f64 y (pow.f64 x 2)))
✓	0.2b	(.f64 (.f64 x 3) (*.f64 x y))

Compiler

Compiled 643 to 355 computations (44.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series31.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

23.0ms	(.f64 x (.f64 3 (*.f64 x y)))
8.0ms	(.f64 3 (.f64 x y))

rewrite18.0ms (0.5%)

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:

8.0ms	(.f64 x (.f64 3 (*.f64 x y)))
6.0ms	(.f64 3 (.f64 x y))

simplify123.0ms (3.6%)

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

prune104.0ms (3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	60	10	70

Error

Counts

70 → 10

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
	0.5b	(.f64 x (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (.f64 x y))))
	20.9b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (sqrt.f64 (.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))))
	37.3b	(.f64 (sqrt.f64 x) (.f64 (*.f64 3 y) (pow.f64 x 3/2)))
	0.9b	(.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))))
	28.5b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x y)) (.f64 (.f64 x 3) (.f64 x y))) (.f64 (.f64 x 3) (*.f64 x y))))
	10.2b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	10.2b	(.f64 3 (.f64 y (pow.f64 x 2)))
✓	0.2b	(.f64 (.f64 x 3) (*.f64 x y))

Compiler

Compiled 1045 to 585 computations (44% saved)

localize21.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 x y)))
✓	0.4b	(.f64 (cbrt.f64 3) (.f64 x y))

series193.0ms (5.6%)

Counts

3 → 72

Calls

3 calls:

70.0ms	(.f64 (cbrt.f64 3) (.f64 x y))
68.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
54.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 x y)))

rewrite63.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64`
58×	`pow1_binary64`
40×	`cbrt-unprod_binary64`
40×	`prod-exp_binary64`
40×	`pow-prod-down_binary64`

Counts

3 → 88

Calls

3 calls:

22.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
17.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 x y)))
11.0ms	(.f64 (cbrt.f64 3) (.f64 x y))

simplify172.0ms (5%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-def_binary64`
553×	`*-commutative_binary64`
458×	`unswap-sqr_binary64`
397×	`associate-+l+_binary64`
274×	`associate-r_binary64`

Counts

160 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1876
1	230	1540
2	932	1540
3	1650	1538
4	2477	1538
5	4732	1538
6	5210	1538

prune216.0ms (6.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	3	4	7
Picked	0	1	1
Done	0	2	2
Total	113	9	122

Error

Counts

122 → 9

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 x (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (cbrt.f64 3) (*.f64 x y)))
	37.3b	(.f64 (sqrt.f64 x) (.f64 (*.f64 3 y) (pow.f64 x 3/2)))
	28.5b	(cbrt.f64 (pow.f64 (.f64 x (.f64 3 (*.f64 y x))) 3))
✓	0.2b	(.f64 x (.f64 3 (*.f64 x y)))
✓	0.4b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
	0.9b	(.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))))
	10.2b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	10.2b	(.f64 3 (.f64 y (pow.f64 x 2)))
✓	0.2b	(.f64 (.f64 x 3) (*.f64 x y))

Compiler

Compiled 2284 to 1583 computations (30.7% saved)

regimes355.0ms (10.4%)

Accuracy

Total 0.2b remaining (93.2%)

Threshold costs 0.2b (93.2%)

Counts

50 → 1

Compiler

Compiled 3472 to 2322 computations (33.1% saved)

simplify4.0ms (0.1%)

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

end205.0ms (6%)

Compiler: Compiled 138 to 99 computations (28.3% saved)

Details

analyze135.0ms (3.9%)

sample1.3s (37.5%)

simplify12.0ms (0.3%)

prune5.0ms (0.2%)

localize8.0ms (0.2%)

series22.0ms (0.6%)

rewrite21.0ms (0.6%)

simplify107.0ms (3.1%)

prune112.0ms (3.3%)

localize8.0ms (0.2%)

series17.0ms (0.5%)

rewrite12.0ms (0.3%)

simplify107.0ms (3.1%)

prune57.0ms (1.7%)

localize7.0ms (0.2%)

series31.0ms (0.9%)

rewrite18.0ms (0.5%)

simplify123.0ms (3.6%)

prune104.0ms (3%)

localize21.0ms (0.6%)

series193.0ms (5.6%)

rewrite63.0ms (1.8%)

simplify172.0ms (5%)

prune216.0ms (6.3%)

regimes355.0ms (10.4%)

simplify4.0ms (0.1%)

end205.0ms (6%)

Profiling