Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (58.9%)

Results

941.0ms

8256×

body

128

valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify51.0ms (2.8%)

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

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 y (-.f64 x z) z)
	0.3b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 60 to 36 computations (40% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series18.0ms (1%)

Counts

1 → 36

Calls

1 calls:

18.0ms

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

rewrite1.0ms (0.1%)

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:

1.0ms

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

simplify106.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

761×	`neg-sub0_binary64`
711×	`neg-mul-1_binary64`
620×	`distribute-neg-out_binary64`
617×	`distribute-rgt-neg-out_binary64`
417×	`unsub-neg_binary64`

Counts

46 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	472
1	66	374
2	142	374
3	355	374
4	1792	374
5	3571	374
6	5347	374

prune23.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y (-.f64 x z) z)
▶	0.3b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

Compiler

Compiled 217 to 71 computations (67.3% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (-.f64 1 y))
✓	0.2b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

series26.0ms (1.5%)

Counts

2 → 60

Calls

2 calls:

18.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
8.0ms	(*.f64 z (-.f64 1 y))

rewrite44.0ms (2.5%)

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:

18.0ms	(*.f64 z (-.f64 1 y))
11.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

simplify152.0ms (8.4%)

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

prune78.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	141	2	143

Error

Counts

143 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y (-.f64 x z) z)
▶	0.3b	(fma.f64 x y (*.f64 z (-.f64 1 y)))

Compiler

Compiled 2721 to 1018 computations (62.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 1 y))
✓	0.3b	(fma.f64 x y (*.f64 z (-.f64 1 y)))

series8.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(fma.f64 x y (*.f64 z (-.f64 1 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 y (*.f64 z (-.f64 1 y)))

simplify64.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

921×	`neg-mul-1_binary64`
620×	`distribute-rgt-neg-out_binary64`
508×	`distribute-lft-neg-out_binary64`
347×	`unsub-neg_binary64`
317×	`distribute-rgt-in_binary64`

Counts

46 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	505
1	66	445
2	141	445
3	365	371
4	1835	371
5	3912	371
6	5235	371

prune48.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Error

Counts

98 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 y (-.f64 x z) z)
✓	0.3b	(fma.f64 x y (*.f64 z (-.f64 1 y)))

Compiler

Compiled 1543 to 676 computations (56.2% saved)

regimes49.0ms (2.7%)

Accuracy

Total 0.0b remaining (89.7%)

Threshold costs 0.0b (89.7%)

Counts

12 → 1

Compiler

Compiled 460 to 298 computations (35.2% 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

end36.0ms (2%)

Compiler: Compiled 38 to 22 computations (42.1% 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

analyze2.0ms (0.1%)

sample1.1s (58.9%)

simplify51.0ms (2.8%)

prune6.0ms (0.3%)

localize9.0ms (0.5%)

series18.0ms (1%)

rewrite1.0ms (0.1%)

simplify106.0ms (5.9%)

prune23.0ms (1.3%)

localize11.0ms (0.6%)

series26.0ms (1.5%)

rewrite44.0ms (2.5%)

simplify152.0ms (8.4%)

prune78.0ms (4.3%)

localize5.0ms (0.3%)

series8.0ms (0.4%)

rewrite1.0ms (0%)

simplify64.0ms (3.5%)

prune48.0ms (2.7%)

regimes49.0ms (2.7%)

simplify2.0ms (0.1%)

end36.0ms (2%)

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