Details

analyze421.0ms (12.2%)

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
34.3%	63.2%	2.5%	9
40.6%	52.7%	6.8%	10
48.4%	42.1%	9.5%	11
56.2%	32.3%	11.6%	12
59.1%	26.6%	14.3%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample962.0ms (27.8%)

Results

812.0ms	8256×	body	128	valid
56.0ms	631×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify24.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

278×	`fma-def_binary64`
251×	`fma-neg_binary64`
71×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
41×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 y (-.f64 z x) x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

694×	`neg-mul-1_binary64`
479×	`distribute-rgt-neg-out_binary64`
433×	`distribute-lft-neg-out_binary64`
343×	`distribute-rgt-in_binary64`
336×	`distribute-lft-in_binary64`

Counts

46 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	472
1	66	374
2	137	374
3	363	374
4	1693	374
5	3955	374
6	5046	374

prune14.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Error

0.0b

Counts

22 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y (-.f64 z x) x)
▶	0.0b	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))

Compiler

Compiled 212 to 68 computations (67.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y z) x)
✓	0.0b	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))

series12.0ms (0.3%)

Counts

2 → 18

Calls

2 calls:

7.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))
5.0ms	(+.f64 (*.f64 y z) x)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`fma-neg_binary64`

Counts

2 → 36

Calls

2 calls:

5.0ms	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))
4.0ms	(+.f64 (*.f64 y z) x)

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

353×	`fma-def_binary64`
306×	`associate-l_binary64`
262×	`times-frac_binary64`
256×	`associate-r_binary64`
245×	`fma-neg_binary64`

Counts

54 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	629
1	213	515
2	624	493
3	2379	492
4	4147	492
5	5031	492

prune35.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Error

Counts

70 → 3

Alt Table

Status	Error	Program
▶	40.9b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x)))))
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	0.0b	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))

Compiler

Compiled 1123 to 253 computations (77.5% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.5b	(+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (.f64 y x)))
✓	3.2b	(+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x))))
✓	3.8b	(-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3))
✓	39.6b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x)))))

series630.0ms (18.2%)

Counts

4 → 144

Calls

4 calls:

506.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x)))))
45.0ms	(+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x))))
41.0ms	(-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3))
37.0ms	(+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (.f64 y x)))

rewrite114.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`add-sqr-sqrt_binary64`
96×	`prod-diff_binary64`
72×	`*-un-lft-identity_binary64`
62×	`add-cube-cbrt_binary64`
52×	`sqr-pow_binary64`

Counts

4 → 278

Calls

4 calls:

29.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x)))))
16.0ms	(+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x))))
11.0ms	(-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3))
5.0ms	(+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (.f64 y x)))

simplify456.0ms (13.2%)

Algorithm

1×	egg-herbie

Rules

383×	`distribute-rgt-in_binary64`
247×	`+-commutative_binary64`
236×	`*-commutative_binary64`
187×	`associate-+r+_binary64`
175×	`fma-def_binary64`

Counts

422 → 460

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	941	28242
1	3052	26470
2	4952	26470
3	5011	26470

prune493.0ms (14.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	460	0	460
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	460	3	463

Error

Counts

463 → 3

Alt Table

Status	Error	Program
✓	40.9b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y z) x) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (.f64 (+.f64 (.f64 y z) x) (+.f64 (.f64 y z) x)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (+.f64 (.f64 y z) x) (*.f64 y x)))))
✓	0.0b	(fma.f64 y (-.f64 z x) x)
✓	0.0b	(-.f64 (+.f64 (.f64 y z) x) (.f64 y x))

Compiler

Compiled 42468 to 13132 computations (69.1% saved)

regimes67.0ms (1.9%)

Accuracy

Total 0.0b remaining (70.4%)

Threshold costs 0.0b (70.4%)

Counts

16 → 1

Compiler

Compiled 1320 to 606 computations (54.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	13	8
3	15	8
4	16	8
5	16	8

end60.0ms (1.7%)

Compiler: Compiled 85 to 39 computations (54.1% saved)

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8

Details

analyze421.0ms (12.2%)

sample962.0ms (27.8%)

simplify24.0ms (0.7%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify66.0ms (1.9%)

prune14.0ms (0.4%)

localize5.0ms (0.2%)

series12.0ms (0.3%)

rewrite10.0ms (0.3%)

simplify59.0ms (1.7%)

prune35.0ms (1%)

localize18.0ms (0.5%)

series630.0ms (18.2%)

rewrite114.0ms (3.3%)

simplify456.0ms (13.2%)

prune493.0ms (14.2%)

regimes67.0ms (1.9%)

simplify2.0ms (0.1%)

end60.0ms (1.7%)

Profiling

Iter	Nodes	Cost
0	7	10
1	11	8
2	24	8
3	46	8
4	81	8
5	139	8
6	212	8
7	345	8
8	487	8
9	601	8
10	661	8
11	668	8
12	625	8