Details

analyze714.0ms (18.2%)

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%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample2.3s (59.7%)

Results

992.0ms	6075×	body	128	valid
450.0ms	823×	body	1024	valid
195.0ms	502×	body	2048	valid
177.0ms	1424×	body	128	invalid
148.0ms	559×	body	512	valid
93.0ms	228×	body	256	invalid
76.0ms	302×	body	512	invalid
62.0ms	194×	body	1024	invalid
53.0ms	297×	body	256	valid

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify268.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

7175×	`fma-neg_binary64`
753×	`unsub-neg_binary64`
515×	`distribute-lft-out_binary64`
498×	`distribute-lft-out--_binary64`
472×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	27	10
2	80	7
3	206	7
4	565	7
5	1825	7
6	2161	7
7	2289	7
8	2491	7
9	2604	7
10	2649	7
11	3904	7
12	3380	7
13	3584	7
14	3584	7
15	3996	7
16	4202	7
17	4202	7
18	4202	7
19	4304	7
20	4304	7
21	11032	7

prune4.0ms (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	(*.f64 y (-.f64 x z))

Compiler

Compiled 39 to 21 computations (46.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

6.0ms

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 50

Calls

1 calls:

5.0ms

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

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
422×	`unsub-neg_binary64`
281×	`unswap-sqr_binary64`
277×	`*-commutative_binary64`
231×	`neg-mul-1_binary64`

Counts

86 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	869
1	190	803
2	577	749
3	1458	695
4	3029	695
5	4852	695
6	5000	695
7	4766	695

prune30.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Error

0.0b

Counts

68 → 2

Alt Table

Status	Error	Program
▶	0.6b	(+.f64 (.f64 x y) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) y))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 1047 to 286 computations (72.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series106.0ms (2.7%)

Counts

4 → 72

Calls

4 calls:

39.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
37.0ms	(cbrt.f64 z)
17.0ms	(+.f64 (.f64 x y) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) y))
12.0ms	(.f64 (neg.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`pow1_binary64`

Counts

4 → 99

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
4.0ms	(.f64 (neg.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
3.0ms	(+.f64 (.f64 x y) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) y))
1.0ms	(cbrt.f64 z)

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

463×	`sqr-pow_binary64`
446×	`fma-neg_binary64`
389×	`fma-def_binary64`
383×	`unsub-neg_binary64`
379×	`*-commutative_binary64`

Counts

171 → 152

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	125	1382
1	308	1246
2	1217	1198
3	3072	1162
4	4098	1058
5	5043	1058

prune98.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	188	2	190

Error

0.0b

Counts

190 → 2

Alt Table

Status	Error	Program
✓	0.6b	(+.f64 (.f64 x y) (.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)) y))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 3534 to 1048 computations (70.3% saved)

regimes70.0ms (1.8%)

Accuracy

Total 0.0b remaining (36.3%)

Threshold costs 0.0b (36.3%)

Counts

14 → 1

Compiler

Compiled 1080 to 528 computations (51.1% 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	6	7
1	9	7
2	14	7
3	16	7
4	17	7
5	17	7

end43.0ms (1.1%)

Compiler: Compiled 42 to 25 computations (40.5% saved)

Details

analyze714.0ms (18.2%)

sample2.3s (59.7%)

simplify268.0ms (6.8%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

series6.0ms (0.2%)

rewrite13.0ms (0.3%)

simplify90.0ms (2.3%)

prune30.0ms (0.8%)

localize10.0ms (0.2%)

series106.0ms (2.7%)

rewrite20.0ms (0.5%)

simplify99.0ms (2.5%)

prune98.0ms (2.5%)

regimes70.0ms (1.8%)

simplify2.0ms (0.1%)

end43.0ms (1.1%)

Profiling