Details

analyze83.0ms (4.6%)

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)

sample743.0ms (41.3%)

Results

700.0ms	8256×	body	128	valid
13.0ms	100×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify11.0ms (0.6%)

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

10.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	10.1b	(.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
✓	0.2b	(.f64 (.f64 x 3) x)
✓	9.8b	(.f64 (.f64 (*.f64 x 3) x) y)

series12.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(.f64 (.f64 (*.f64 x 3) x) y)
2.0ms	(.f64 (.f64 x 3) x)

rewrite16.0ms (0.9%)

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)
4.0ms	(.f64 (.f64 x 3) x)

simplify60.0ms (3.3%)

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

prune45.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Error

0.1b

Counts

66 → 6

Alt Table

Status	Error	Program
	10.7b	(.f64 (.f64 (.f64 (.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
▶	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
✓	10.1b	(.f64 (.f64 (*.f64 x 3) x) y)
	10.1b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	9.9b	(.f64 3 (.f64 y (pow.f64 x 2)))
	39.4b	(.f64 (.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x)) y)

Compiler

Compiled 901 to 520 computations (42.3% 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))

series10.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite6.0ms (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:

5.0ms

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

simplify73.0ms (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

prune25.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	30	8	38

Error

0.0b

Counts

38 → 8

Alt Table

Status	Error	Program
	10.7b	(.f64 (.f64 (.f64 (.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
▶	0.3b	(.f64 x (.f64 3 (*.f64 x y)))
	24.5b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) (.f64 x y))) (sqrt.f64 (.f64 (.f64 x 3) (*.f64 x y))))
	28.2b	(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))))
	10.1b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	9.9b	(.f64 3 (.f64 y (pow.f64 x 2)))
	39.4b	(.f64 (.f64 (*.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x)) y)

Compiler

Compiled 619 to 339 computations (45.2% 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))

series14.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

9.0ms	(.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))

simplify70.0ms (3.9%)

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

prune52.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	61	9	70

Error

0.0b

Counts

70 → 9

Alt Table

Status	Error	Program
	9.9b	(.f64 3 (.f64 y (pow.f64 x 2)))
	0.5b	(.f64 x (.f64 (sqrt.f64 3) (.f64 (sqrt.f64 3) (.f64 x y))))
	10.7b	(.f64 (.f64 (.f64 (.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
✓	0.3b	(.f64 x (.f64 3 (*.f64 x y)))
	24.5b	(.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 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (.f64 3 (*.f64 x y))))
	10.1b	(.f64 (.f64 3 (pow.f64 x 2)) y)
▶	0.4b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))

Compiler

Compiled 977 to 539 computations (44.8% saved)

localize7.0ms (0.4%)

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))

series93.0ms (5.2%)

Counts

3 → 72

Calls

3 calls:

41.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
39.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 x y)))
12.0ms	(.f64 (cbrt.f64 3) (.f64 x y))

rewrite36.0ms (2%)

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:

13.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (*.f64 x y))))
12.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 3) (.f64 x y)))
4.0ms	(.f64 (cbrt.f64 3) (.f64 x y))

simplify103.0ms (5.7%)

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

prune101.0ms (5.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	2	4	6
Picked	1	0	1
Done	1	1	2
Total	113	8	121

Error

0.0b

Counts

121 → 8

Alt Table

Status	Error	Program
	10.7b	(.f64 (.f64 (.f64 (.f64 x 3) x) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.3b	(.f64 (.f64 x 3) (*.f64 x y))
	20.3b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (sqrt.f64 (.f64 (cbrt.f64 3) (.f64 x y))) (sqrt.f64 (.f64 (cbrt.f64 3) (.f64 x y))))))
	0.4b	(.f64 x (.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 y (*.f64 x (cbrt.f64 3)))))
	0.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (.f64 3 (*.f64 x y))))
	10.1b	(.f64 (.f64 3 (pow.f64 x 2)) y)
	9.9b	(.f64 3 (.f64 y (pow.f64 x 2)))
	0.4b	(.f64 (.f64 x (.f64 (cbrt.f64 3) (cbrt.f64 3))) (.f64 (cbrt.f64 3) (*.f64 x y)))

Compiler

Compiled 2280 to 1579 computations (30.7% saved)

regimes115.0ms (6.4%)

Accuracy

Total 0.2b remaining (89%)

Threshold costs 0.2b (89%)

Counts

31 → 1

Compiler

Compiled 2140 to 1480 computations (30.8% saved)

simplify2.0ms (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

end99.0ms (5.5%)

Compiler: Compiled 134 to 95 computations (29.1% saved)

Details

analyze83.0ms (4.6%)

sample743.0ms (41.3%)

simplify11.0ms (0.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series12.0ms (0.7%)

rewrite16.0ms (0.9%)

simplify60.0ms (3.3%)

prune45.0ms (2.5%)

localize4.0ms (0.2%)

series10.0ms (0.5%)

rewrite6.0ms (0.3%)

simplify73.0ms (4%)

prune25.0ms (1.4%)

localize4.0ms (0.2%)

series14.0ms (0.8%)

rewrite10.0ms (0.6%)

simplify70.0ms (3.9%)

prune52.0ms (2.9%)

localize7.0ms (0.4%)

series93.0ms (5.2%)

rewrite36.0ms (2%)

simplify103.0ms (5.7%)

prune101.0ms (5.6%)

regimes115.0ms (6.4%)

simplify2.0ms (0.1%)

end99.0ms (5.5%)

Profiling