Details

analyze374.0ms (27%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample87.0ms (6.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify23.0ms (1.6%)

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 (0.2%)

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

Counts

3 → 2

Alt Table

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

Compiler

Compiled 60 to 36 computations (40% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

7.0ms

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

rewrite5.0ms (0.3%)

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 y z) z)

simplify69.0ms (5%)

Algorithm

1×	egg-herbie

Rules

655×	`neg-sub0_binary64`
594×	`neg-mul-1_binary64`
479×	`distribute-rgt-neg-out_binary64`
433×	`distribute-lft-neg-out_binary64`
343×	`distribute-rgt-in_binary64`

Counts

46 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	472
1	66	374
2	137	374
3	353	374
4	1685	374
5	3344	374
6	4975	374
7	4929	374

prune11.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

Counts

23 → 2

Alt Table

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

Compiler

Compiled 208 to 65 computations (68.8% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series13.0ms (1%)

Counts

2 → 72

Calls

2 calls:

7.0ms	(+.f64 (*.f64 x (-.f64 y z)) z)
6.0ms	(*.f64 x (-.f64 y z))

rewrite20.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 90

Calls

2 calls:

8.0ms	(+.f64 (*.f64 x (-.f64 y z)) z)
5.0ms	(*.f64 x (-.f64 y z))

simplify82.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg_binary64`
637×	`fma-def_binary64`
378×	`distribute-rgt-in_binary64`
339×	`distribute-lft-in_binary64`
275×	`exp-prod_binary64`

Counts

162 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1463
1	285	1329
2	1020	1269
3	3284	1215
4	4244	1215
5	5011	1215

prune57.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	133	2	135

Error

Counts

135 → 2

Alt Table

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

Compiler

Compiled 2371 to 578 computations (75.6% saved)

regimes40.0ms (2.9%)

Accuracy

Total 0.0b remaining (3.6%)

Threshold costs 0.0b (3.6%)

Counts

9 → 1

Compiler

Compiled 340 to 222 computations (34.7% saved)

simplify3.0ms (0.2%)

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

end2.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample583.0ms (42%)

Algorithm

1×

intervals

Results

297.0ms	8000×	body	128	valid
22.0ms	644×	body	128	invalid

Compiler

Compiled 44 to 28 computations (36.4% 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

analyze374.0ms (27%)

sample87.0ms (6.3%)

simplify23.0ms (1.6%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series7.0ms (0.5%)

rewrite5.0ms (0.3%)

simplify69.0ms (5%)

prune11.0ms (0.8%)

localize4.0ms (0.3%)

series13.0ms (1%)

rewrite20.0ms (1.5%)

simplify82.0ms (5.9%)

prune57.0ms (4.1%)

regimes40.0ms (2.9%)

simplify3.0ms (0.2%)

end2.0ms (0.1%)

sample583.0ms (42%)

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