Details

analyze432.0ms (15.7%)

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
25%	74.9%	0.1%	8
34.3%	62.4%	3.3%	9
40.6%	52.3%	7.2%	10
49.1%	42.1%	8.7%	11
56.2%	32.6%	11.3%	12
59.1%	27.1%	13.8%	13
63.7%	21.9%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample951.0ms (34.5%)

Results

796.0ms	8256×	body	128	valid
66.0ms	696×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify25.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
250×	`fma-neg_binary64`
52×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
43×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

prune3.0ms (0.1%)

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
▶	0.0b	(fma.f64 x (-.f64 z y) y)
	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 60 to 36 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

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 x (-.f64 z y) y)

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

897×	`neg-mul-1_binary64`
618×	`distribute-rgt-neg-out_binary64`
583×	`distribute-neg-out_binary64`
510×	`distribute-lft-neg-out_binary64`
396×	`unsub-neg_binary64`

Counts

46 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	526
1	66	374
2	139	374
3	339	374
4	1738	374
5	3791	374
6	5086	374

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Error

Counts

23 → 3

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (cbrt.f64 (fma.f64 x (-.f64 z y) y))) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
✓	0.0b	(fma.f64 x (-.f64 z y) y)
▶	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 264 to 85 computations (67.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

series11.0ms (0.4%)

Counts

2 → 48

Calls

2 calls:

7.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
4.0ms	(*.f64 (-.f64 1 x) y)

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
4.0ms	(*.f64 (-.f64 1 x) y)

simplify72.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-+l+_binary64`
350×	`associate-+r+_binary64`
329×	`fma-def_binary64`
327×	`associate-l_binary64`
256×	`associate-r_binary64`

Counts

87 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	975
1	227	871
2	653	778
3	1912	774
4	4981	774
5	4972	774

prune34.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Error

Counts

75 → 3

Alt Table

Status	Error	Program
▶	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (cbrt.f64 (fma.f64 x (-.f64 z y) y))) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
✓	0.0b	(fma.f64 x (-.f64 z y) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 1093 to 499 computations (54.3% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (-.f64 z y) y)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (cbrt.f64 (fma.f64 x (-.f64 z y) y))) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
✓	0.6b	(cbrt.f64 (fma.f64 x (-.f64 z y) y))

series277.0ms (10%)

Counts

3 → 108

Calls

3 calls:

202.0ms

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

66.0ms

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

8.0ms

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

rewrite16.0ms (0.6%)

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:

6.0ms

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

4.0ms

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

1.0ms

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

simplify199.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-def_binary64`
368×	`*-commutative_binary64`
199×	`+-commutative_binary64`
190×	`cancel-sign-sub-inv_binary64`
180×	`sub-neg_binary64`

Counts

201 → 259

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	958	12816
1	3456	12122
2	5169	12122

prune461.0ms (16.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	490	0	490
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	490	3	493

Error

Counts

493 → 3

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (cbrt.f64 (fma.f64 x (-.f64 z y) y))) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
✓	0.0b	(fma.f64 x (-.f64 z y) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

Compiler

Compiled 31980 to 15691 computations (50.9% saved)

regimes110.0ms (4%)

Accuracy

Total 0.0b remaining (86.5%)

Threshold costs 0.0b (86.5%)

Counts

27 → 1

Compiler

Compiled 1756 to 902 computations (48.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	13	11
2	23	11
3	29	11
4	33	11
5	34	11
6	34	11

end45.0ms (1.6%)

Compiler: Compiled 69 to 33 computations (52.2% saved)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8

Details

analyze432.0ms (15.7%)

sample951.0ms (34.5%)

simplify25.0ms (0.9%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite1.0ms (0%)

simplify58.0ms (2.1%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

series11.0ms (0.4%)

rewrite21.0ms (0.8%)

simplify72.0ms (2.6%)

prune34.0ms (1.2%)

localize7.0ms (0.3%)

series277.0ms (10%)

rewrite16.0ms (0.6%)

simplify199.0ms (7.2%)

prune461.0ms (16.7%)

regimes110.0ms (4%)

simplify3.0ms (0.1%)

end45.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	49	11
4	107	9
5	172	8
6	255	8
7	420	8
8	552	8
9	624	8
10	654	8
11	664	8
12	621	8