Details

analyze531.0ms (8.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
23.4%	71%	5.6%	9
35.1%	56.2%	8.7%	10
41%	49.9%	9.1%	11
45.1%	41.2%	13.7%	12
52.6%	31.2%	16.2%	13
56.3%	27.3%	16.4%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (17.9%)

Results

1.0s	8256×	body	128	valid
92.0ms	905×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`
1×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	8
3	14	8
4	15	8
5	15	8

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y (/.f64 y z) x)
	7.6b	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series17.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

17.0ms

(fma.f64 y (/.f64 y z) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y (/.f64 y z) x)

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

611×	`associate-/l/_binary64`
604×	`associate-+l+_binary64`
543×	`associate-l_binary64`
462×	`fma-def_binary64`
424×	`associate-/r*_binary64`

Counts

46 → 17

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	376
1	28	359
2	59	359
3	151	359
4	551	359
5	2861	359
6	5394	359

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Error

0.0b

Counts

19 → 4

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)
	7.6b	(+.f64 x (/.f64 (*.f64 y y) z))
	34.5b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
▶	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

Compiler

Compiled 274 to 87 computations (68.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (/.f64 y z) x)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.6b	(cbrt.f64 (fma.f64 y (/.f64 y z) x))

series189.0ms (3%)

Counts

3 → 108

Calls

3 calls:

112.0ms

(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

63.0ms

(cbrt.f64 (fma.f64 y (/.f64 y z) x))

14.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

8.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

1.0ms

(cbrt.f64 (fma.f64 y (/.f64 y z) x))

simplify245.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
298×	`associate-r_binary64`
276×	`cancel-sign-sub-inv_binary64`
257×	`unswap-sqr_binary64`
188×	`*-commutative_binary64`

Counts

201 → 199

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	6172
1	905	5625
2	2738	5166
3	4604	4783
4	4960	4783
5	4920	4783

prune237.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	364	2	366
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	365	5	370

Error

0.0b

Counts

370 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (/.f64 y z) x)
	7.6b	(+.f64 x (/.f64 (*.f64 y y) z))
	34.5b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
	1.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
▶	1.3b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

Compiler

Compiled 14369 to 5261 computations (63.4% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (/.f64 y z) x)
	0.6b	(cbrt.f64 (fma.f64 y (/.f64 y z) x))
✓	0.6b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

series1.9s (30.1%)

Counts

1 → 36

Calls

1 calls:

1.9s	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cube-prod_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`cbrt-prod_binary64`
6×	`unpow-prod-down_binary64`

Counts

1 → 32

Calls

1 calls:

2.0ms

(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
495×	`associate-l_binary64`
404×	`associate-r_binary64`
280×	`exp-prod_binary64`
214×	`log-prod_binary64`

Counts

68 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1448
1	225	1269
2	649	1149
3	3121	865
4	4719	865
5	4995	865
6	4934	865

prune81.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Error

0.0b

Counts

132 → 6

Alt Table

Status	Error	Program
	5.4b	(*.f64 (fma.f64 (/.f64 y z) (/.f64 y x) 1) x)
✓	0.1b	(fma.f64 y (/.f64 y z) x)
▶	1.5b	(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)))
	7.6b	(+.f64 x (/.f64 (*.f64 y y) z))
	1.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

Compiler

Compiled 3222 to 1774 computations (44.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)))
	0.6b	(cbrt.f64 (fma.f64 y (/.f64 y z) x))
✓	0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3))
	0.6b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

series148.0ms (2.3%)

Counts

2 → 72

Calls

2 calls:

86.0ms	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)))
62.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

268×	`cbrt-prod_binary64`
123×	`add-sqr-sqrt_binary64`
70×	`cube-prod_binary64`
70×	`unpow-prod-down_binary64`
49×	`unswap-sqr_binary64`

Counts

2 → 173

Calls

2 calls:

13.0ms	(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)))
2.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3))

simplify267.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

896×	`fma-def_binary64`
540×	`unswap-sqr_binary64`
312×	`associate-r_binary64`
218×	`*-commutative_binary64`
194×	`exp-prod_binary64`

Counts

245 → 227

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	357	7840
1	903	7024
2	2873	6676
3	4303	6048
4	4733	6048
5	4918	6048

prune692.0ms (10.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	704	1	705
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	705	6	711

Error

0.0b

Counts

711 → 6

Alt Table

Status	Error	Program
	5.4b	(*.f64 (fma.f64 (/.f64 y z) (/.f64 y x) 1) x)
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	1.5b	(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)))
	7.6b	(+.f64 x (/.f64 (*.f64 y y) z))
	1.4b	(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	1.3b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

Compiler

Compiled 34343 to 16197 computations (52.8% saved)

regimes490.0ms (7.7%)

Accuracy

Total 0.1b remaining (69.6%)

Threshold costs 0.1b (69.6%)

Counts

61 → 1

Compiler

Compiled 11476 to 5662 computations (50.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

end94.0ms (1.5%)

Compiler: Compiled 129 to 68 computations (47.3% saved)

Details

analyze531.0ms (8.4%)

sample1.1s (17.9%)

simplify11.0ms (0.2%)

prune3.0ms (0%)

localize4.0ms (0.1%)

series17.0ms (0.3%)

rewrite1.0ms (0%)

simplify56.0ms (0.9%)

prune12.0ms (0.2%)

localize7.0ms (0.1%)

series189.0ms (3%)

rewrite24.0ms (0.4%)

simplify245.0ms (3.9%)

prune237.0ms (3.7%)

localize11.0ms (0.2%)

series1.9s (30.1%)

rewrite3.0ms (0.1%)

simplify109.0ms (1.7%)

prune81.0ms (1.3%)

localize10.0ms (0.2%)

series148.0ms (2.3%)

rewrite52.0ms (0.8%)

simplify267.0ms (4.2%)

prune692.0ms (10.9%)

regimes490.0ms (7.7%)

simplify3.0ms (0%)

end94.0ms (1.5%)

Profiling