Details

analyze445.0ms (22.2%)

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
28.1%	68.6%	3.3%	9
40.6%	52.3%	7.2%	10
45.2%	46.8%	7.9%	11
51.5%	37.3%	11.3%	12
59.1%	27.1%	13.8%	13
61.5%	24.4%	14.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample939.0ms (46.8%)

Results

779.0ms	8256×	body	128	valid
66.0ms	739×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify25.0ms (1.2%)

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

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

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

10.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
4.0ms	(*.f64 z (-.f64 1 y))

rewrite18.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
36×	`prod-diff_binary64`
35×	`*-un-lft-identity_binary64`
32×	`add-cube-cbrt_binary64`
26×	`distribute-lft-in_binary64`

Counts

2 → 91

Calls

2 calls:

6.0ms	(*.f64 z (-.f64 1 y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

simplify88.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-neg_binary64`
558×	`fma-def_binary64`
354×	`cancel-sign-sub-inv_binary64`
305×	`distribute-rgt-in_binary64`
293×	`*-commutative_binary64`

Counts

151 → 141

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1578
1	274	1462
2	983	1400
3	2835	1344
4	4341	1344
5	4857	1344

prune77.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	2	142

Error

Counts

142 → 2

Alt Table

Status	Error	Program
▶	9.8b	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 2738 to 1031 computations (62.3% saved)

localize11.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
✓	2.4b	(.f64 z (-.f64 1 (.f64 y y)))
✓	6.8b	(/.f64 (.f64 z (-.f64 1 (.f64 y y))) (+.f64 1 y))

series60.0ms (3%)

Counts

3 → 84

Calls

3 calls:

33.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
18.0ms	(/.f64 (.f64 z (-.f64 1 (.f64 y y))) (+.f64 1 y))
9.0ms	(.f64 z (-.f64 1 (.f64 y y)))

rewrite23.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
9×	`add-cube-cbrt_binary64`

Counts

3 → 77

Calls

3 calls:

6.0ms	(/.f64 (.f64 z (-.f64 1 (.f64 y y))) (+.f64 1 y))
5.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
4.0ms	(.f64 z (-.f64 1 (.f64 y y)))

simplify71.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-/l*_binary64`
489×	`fma-def_binary64`
451×	`distribute-rgt-in_binary64`
410×	`distribute-lft-in_binary64`
258×	`associate-/l/_binary64`

Counts

161 → 139

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2606
1	411	2373
2	1436	2327
3	5016	2327

prune76.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	139	2	141

Error

Counts

141 → 2

Alt Table

Status	Error	Program
✓	9.8b	(+.f64 (.f64 x y) (/.f64 (.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y)))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 3027 to 1573 computations (48% saved)

regimes97.0ms (4.8%)

Accuracy

Total -0.0b remaining (-54%)

Threshold costs -0.0b (-54%)

Counts

22 → 1

Compiler

Compiled 1096 to 697 computations (36.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	13	11
2	17	11
3	19	11
4	20	11
5	19	11

end51.0ms (2.5%)

Compiler: Compiled 52 to 34 computations (34.6% 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

analyze445.0ms (22.2%)

sample939.0ms (46.8%)

simplify25.0ms (1.2%)

prune3.0ms (0.1%)

localize5.0ms (0.3%)

series14.0ms (0.7%)

rewrite18.0ms (0.9%)

simplify88.0ms (4.4%)

prune77.0ms (3.9%)

localize11.0ms (0.6%)

series60.0ms (3%)

rewrite23.0ms (1.1%)

simplify71.0ms (3.5%)

prune76.0ms (3.8%)

regimes97.0ms (4.8%)

simplify2.0ms (0.1%)

end51.0ms (2.5%)

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