Details

analyze137.0ms (5.5%)

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
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample797.0ms (32.3%)

Results

748.0ms	8256×	body	128	valid
15.0ms	168×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`fma-def_binary64`
7×	`associate-r_binary64`
7×	`associate-l_binary64`
5×	`*-commutative_binary64`
4×	`*-lft-identity_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	17	8
2	24	8
3	47	8
4	43	8
5	45	8
6	43	8

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

6.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.3b	(*.f64 x (fma.f64 y y 1))

Compiler

Compiled 31 to 19 computations (38.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(*.f64 x (fma.f64 y y 1))

series15.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

15.0ms

(*.f64 x (fma.f64 y y 1))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 22

Calls

1 calls:

3.0ms

(*.f64 x (fma.f64 y y 1))

simplify87.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

746×	`unswap-sqr_binary64`
561×	`distribute-rgt-in_binary64`
550×	`fma-def_binary64`
534×	`distribute-lft-in_binary64`
336×	`distribute-rgt-out_binary64`

Counts

46 → 40

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	447
1	81	404
2	264	404
3	597	404
4	1918	404
5	2078	404
6	2869	404
7	4919	404
8	4929	404

prune30.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Error

3.5b

Counts

41 → 5

Alt Table

Status	Error	Program
✓	6.3b	(*.f64 x (fma.f64 y y 1))
	6.3b	(.f64 (.f64 x (hypot.f64 1 y)) (sqrt.f64 (fma.f64 y y 1)))
	32.0b	(.f64 (.f64 (sqrt.f64 x) (hypot.f64 1 y)) (*.f64 (sqrt.f64 x) (hypot.f64 1 y)))
▶	6.3b	(+.f64 (*.f64 (pow.f64 y 2) x) x)
	19.5b	x

Compiler

Compiled 511 to 298 computations (41.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (pow.f64 y 2) x) x)
✓	11.7b	(*.f64 (pow.f64 y 2) x)

series18.0ms (0.7%)

Counts

2 → 15

Calls

2 calls:

10.0ms	(+.f64 (*.f64 (pow.f64 y 2) x) x)
8.0ms	(*.f64 (pow.f64 y 2) x)

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
8×	`associate-l_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+.f64 (*.f64 (pow.f64 y 2) x) x)
4.0ms	(*.f64 (pow.f64 y 2) x)

simplify104.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

826×	`fma-neg_binary64`
457×	`unswap-sqr_binary64`
452×	`associate-l_binary64`
340×	`distribute-rgt-out_binary64`
333×	`associate-r_binary64`

Counts

60 → 76

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	635
1	170	549
2	493	542
3	1822	542
4	4024	540
5	4733	540
6	4982	540
7	4937	540

prune55.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	77	4	81

Error

0.0b

Counts

81 → 4

Alt Table

Status	Error	Program
✓	6.3b	(*.f64 x (fma.f64 y y 1))
	29.6b	(+.f64 (.f64 (pow.f64 (sqrt.f64 y) 2) (.f64 x y)) x)
	35.2b	(/.f64 (.f64 x (-.f64 (.f64 x (pow.f64 y 4)) x)) (*.f64 x (fma.f64 y y -1)))
▶	0.1b	(+.f64 (.f64 y (.f64 y x)) x)

Compiler

Compiled 1008 to 572 computations (43.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (.f64 y x)) x)
✓	0.2b	(.f64 y (.f64 y x))

series19.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(+.f64 (.f64 y (.f64 y x)) x)
8.0ms	(.f64 y (.f64 y x))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64`

Counts

2 → 34

Calls

2 calls:

6.0ms	(+.f64 (.f64 y (.f64 y x)) x)
4.0ms	(.f64 y (.f64 y x))

simplify80.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

973×	`fma-neg_binary64`
495×	`associate-l_binary64`
399×	`cancel-sign-sub-inv_binary64`
371×	`*-commutative_binary64`
352×	`unswap-sqr_binary64`

Counts

82 → 56

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	61	730
1	163	709
2	497	696
3	1536	691
4	3445	689
5	4520	689
6	5015	689

prune36.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Error

0.0b

Counts

60 → 6

Alt Table

Status	Error	Program
	35.2b	(/.f64 (.f64 x (-.f64 (.f64 x (pow.f64 y 4)) x)) (*.f64 x (fma.f64 y y -1)))
	0.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (.f64 y x))) (cbrt.f64 (.f64 y (.f64 y x)))) (cbrt.f64 (.f64 y (.f64 y x)))) x)
✓	6.3b	(*.f64 x (fma.f64 y y 1))
	29.6b	(+.f64 (.f64 (pow.f64 (sqrt.f64 y) 2) (.f64 x y)) x)
▶	0.4b	(+.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 y) (.f64 y x))) x)
✓	0.1b	(+.f64 (.f64 y (.f64 y x)) x)

Compiler

Compiled 843 to 279 computations (66.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 y) (.f64 y x)))
✓	0.3b	(.f64 (cbrt.f64 y) (.f64 y x))
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)

series476.0ms (19.3%)

Counts

4 → 72

Calls

4 calls:

353.0ms	(.f64 (cbrt.f64 y) (.f64 y x))
48.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 y) (.f64 y x)))
40.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
35.0ms	(cbrt.f64 y)

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`pow1_binary64`
32×	`add-exp-log_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
20×	`pow-prod-down_binary64`

Counts

4 → 108

Calls

4 calls:

8.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 y) (.f64 y x)))
4.0ms	(.f64 (cbrt.f64 y) (.f64 y x))
4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

simplify120.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

436×	`log-prod_binary64`
431×	`*-commutative_binary64`
363×	`sqr-pow_binary64`
298×	`associate-+l+_binary64`
294×	`exp-prod_binary64`

Counts

180 → 146

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	119	1693
1	247	1441
2	910	1400
3	1677	1330
4	3646	1230
5	4554	1230
6	4809	1230
7	4836	1230

prune147.0ms (6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	181	7	188

Error

0.0b

Counts

188 → 7

Alt Table

Status	Error	Program
	35.2b	(/.f64 (.f64 x (-.f64 (.f64 x (pow.f64 y 4)) x)) (*.f64 x (fma.f64 y y -1)))
	0.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (.f64 y x))) (cbrt.f64 (.f64 y (.f64 y x)))) (cbrt.f64 (.f64 y (.f64 y x)))) x)
✓	6.3b	(*.f64 x (fma.f64 y y 1))
	29.6b	(+.f64 (.f64 (pow.f64 (sqrt.f64 y) 2) (.f64 x y)) x)
✓	0.4b	(+.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 y) (.f64 y x))) x)
✓	0.1b	(+.f64 (.f64 y (.f64 y x)) x)
	0.5b	(+.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))) (.f64 y x))) x)

Compiler

Compiled 3416 to 921 computations (73% saved)

regimes183.0ms (7.4%)

Accuracy

Total 0.1b remaining (75.3%)

Threshold costs 0.1b (75.3%)

Counts

45 → 1

Compiler

Compiled 3486 to 1949 computations (44.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	6	8
2	6	8

end84.0ms (3.4%)

Compiler: Compiled 128 to 64 computations (50% saved)

Details

analyze137.0ms (5.5%)

sample797.0ms (32.3%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series15.0ms (0.6%)

rewrite3.0ms (0.1%)

simplify87.0ms (3.5%)

prune30.0ms (1.2%)

localize4.0ms (0.2%)

series18.0ms (0.7%)

rewrite9.0ms (0.4%)

simplify104.0ms (4.2%)

prune55.0ms (2.2%)

localize4.0ms (0.2%)

series19.0ms (0.8%)

rewrite10.0ms (0.4%)

simplify80.0ms (3.2%)

prune36.0ms (1.5%)

localize8.0ms (0.3%)

series476.0ms (19.3%)

rewrite23.0ms (0.9%)

simplify120.0ms (4.9%)

prune147.0ms (6%)

regimes183.0ms (7.4%)

simplify2.0ms (0.1%)

end84.0ms (3.4%)

Profiling