Details

analyze459.0ms (23.9%)

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)

sample1.0s (52.8%)

Results

846.0ms	8256×	body	128	valid
70.0ms	651×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify25.0ms (1.3%)

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

prune6.0ms (0.3%)

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 x (-.f64 z y) y)

Compiler

Compiled 36 to 20 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

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)

simplify57.0ms (3%)

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

prune11.0ms (0.6%)

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

Counts

22 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (-.f64 z y) y)
▶	40.3b	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))

Compiler

Compiled 212 to 69 computations (67.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 x (-.f64 z y) y)
✓	0.2b	(pow.f64 (fma.f64 x (-.f64 z y) y) 3)
✓	38.1b	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))

series60.0ms (3.1%)

Counts

2 → 72

Calls

2 calls:

53.0ms	(pow.f64 (fma.f64 x (-.f64 z y) y) 3)
7.0ms	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

2 → 48

Calls

2 calls:

1.0ms	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))
1.0ms	(pow.f64 (fma.f64 x (-.f64 z y) y) 3)

simplify113.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
335×	`unswap-sqr_binary64`
310×	`distribute-rgt-in_binary64`
273×	`distribute-lft-in_binary64`
194×	`sub-neg_binary64`

Counts

120 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	3972
1	462	3618
2	1838	3395
3	4876	3395
4	5188	3395

prune56.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Error

Counts

119 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (-.f64 z y) y)
✓	40.3b	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))

Compiler

Compiled 2468 to 1270 computations (48.5% saved)

regimes55.0ms (2.8%)

Accuracy

Total 0.0b remaining (2.9%)

Threshold costs 0.0b (2.9%)

Counts

12 → 1

Compiler

Compiled 464 to 318 computations (31.5% 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

end41.0ms (2.1%)

Compiler: Compiled 39 to 23 computations (41% 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

analyze459.0ms (23.9%)

sample1.0s (52.8%)

simplify25.0ms (1.3%)

prune6.0ms (0.3%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify57.0ms (3%)

prune11.0ms (0.6%)

localize7.0ms (0.3%)

series60.0ms (3.1%)

rewrite5.0ms (0.3%)

simplify113.0ms (5.9%)

prune56.0ms (2.9%)

regimes55.0ms (2.8%)

simplify2.0ms (0.1%)

end41.0ms (2.1%)

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