Details

analyze985.0ms (24.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.5%	76.8%	3.7%	12
25.7%	64.7%	9.6%	13
31.6%	54.7%	13.7%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.4s (33.7%)

Results

1.0s	8256×	body	128	valid
279.0ms	2537×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify182.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2262×	`fma-neg_binary64`
697×	`fma-def_binary64`
683×	`unsub-neg_binary64`
313×	`distribute-rgt-in_binary64`
306×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	11
2	37	11
3	105	11
4	335	11
5	850	11
6	1678	11
7	1991	11
8	2282	11
9	2193	11
10	2201	11
11	2201	11
12	2202	11
13	2172	11
14	2172	11
15	4437	11
16	4437	11
17	4437	11
18	4378	11

prune3.0ms (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	(fma.f64 (-.f64 y z) (-.f64 t x) x)

Compiler

Compiled 45 to 23 computations (48.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.3%)

Counts

1 → 48

Calls

1 calls:

11.0ms

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

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

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
395×	`exp-diff_binary64`
356×	`unsub-neg_binary64`
333×	`exp-prod_binary64`
328×	`distribute-neg-out_binary64`

Counts

58 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	954
1	144	926
2	355	926
3	837	628
4	2944	628
5	4449	628
6	4978	628

prune24.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Error

Counts

38 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 (-.f64 y z) (-.f64 t x) x)
▶	0.0b	(-.f64 (+.f64 (.f64 y t) (+.f64 (.f64 z x) x)) (+.f64 (.f64 y x) (.f64 t z)))
	34.2b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)))

Compiler

Compiled 507 to 140 computations (72.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series40.0ms (1%)

Counts

4 → 87

Calls

4 calls:

18.0ms	(-.f64 (+.f64 (.f64 y t) (+.f64 (.f64 z x) x)) (+.f64 (.f64 y x) (.f64 t z)))
10.0ms	(+.f64 (.f64 y x) (.f64 t z))
9.0ms	(+.f64 (.f64 y t) (+.f64 (.f64 z x) x))
3.0ms	(+.f64 (*.f64 z x) x)

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-log-exp_binary64`
15×	`*-un-lft-identity_binary64`
14×	`sum-log_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (.f64 y t) (+.f64 (.f64 z x) x)) (+.f64 (.f64 y x) (.f64 t z)))
5.0ms	(+.f64 (.f64 y t) (+.f64 (.f64 z x) x))
3.0ms	(+.f64 (.f64 y x) (.f64 t z))
3.0ms	(+.f64 (*.f64 z x) x)

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

776×	`fma-neg_binary64`
411×	`cancel-sign-sub-inv_binary64`
239×	`distribute-rgt-neg-in_binary64`
204×	`associate-l_binary64`
202×	`distribute-lft-neg-in_binary64`

Counts

174 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2841
1	581	2709
2	2510	2561
3	4444	2561
4	4931	2561

prune127.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	171	3	174

Error

Counts

174 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 (-.f64 y z) (-.f64 t x) x)
✓	0.0b	(-.f64 (+.f64 (.f64 y t) (+.f64 (.f64 z x) x)) (+.f64 (.f64 y x) (.f64 t z)))
▶	34.2b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)))

Compiler

Compiled 4817 to 671 computations (86.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (-.f64 y z) (-.f64 t x) x)
✓	0.0b	(sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x))
✓	0.2b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)))

series355.0ms (8.7%)

Counts

2 → 64

Calls

2 calls:

342.0ms	(sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x))
13.0ms	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 68

Calls

2 calls:

6.0ms	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)))
1.0ms	(sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x))

simplify108.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

515×	`associate-r_binary64`
480×	`associate-l_binary64`
404×	`fma-def_binary64`
323×	`*-commutative_binary64`
261×	`fma-neg_binary64`

Counts

132 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	4680
1	1106	4168
2	4190	4108
3	5203	4108

prune174.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	253	3	256

Error

Counts

256 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 (-.f64 y z) (-.f64 t x) x)
✓	0.0b	(-.f64 (+.f64 (.f64 y t) (+.f64 (.f64 z x) x)) (+.f64 (.f64 y x) (.f64 t z)))
✓	34.2b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)) (sqrt.f64 (fma.f64 (-.f64 y z) (-.f64 t x) x)))

Compiler

Compiled 11652 to 3691 computations (68.3% saved)

regimes396.0ms (9.7%)

Accuracy

Total 0.0b remaining (74.6%)

Threshold costs 0.0b (74.6%)

Counts

68 → 1

Compiler

Compiled 6924 to 4141 computations (40.2% 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	10	19
1	13	19
2	18	19
3	20	19
4	21	19
5	21	19

end51.0ms (1.3%)

Compiler: Compiled 92 to 46 computations (50% saved)

Details

analyze985.0ms (24.1%)

sample1.4s (33.7%)

simplify182.0ms (4.5%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series11.0ms (0.3%)

rewrite1.0ms (0%)

simplify78.0ms (1.9%)

prune24.0ms (0.6%)

localize10.0ms (0.2%)

series40.0ms (1%)

rewrite30.0ms (0.7%)

simplify100.0ms (2.5%)

prune127.0ms (3.1%)

localize8.0ms (0.2%)

series355.0ms (8.7%)

rewrite12.0ms (0.3%)

simplify108.0ms (2.7%)

prune174.0ms (4.3%)

regimes396.0ms (9.7%)

simplify2.0ms (0.1%)

end51.0ms (1.3%)

Profiling