Details

analyze884.0ms (30.2%)

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
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample101.0ms (3.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	94×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify183.0ms (6.3%)

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

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 (-.f64 y z) (-.f64 t x) x)
	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 71 to 39 computations (45.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.4%)

Counts

1 → 48

Calls

1 calls:

12.0ms

(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)

simplify101.0ms (3.4%)

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 (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Error

Counts

39 → 2

Alt Table

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

Compiler

Compiled 461 to 122 computations (73.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series40.0ms (1.4%)

Counts

4 → 87

Calls

4 calls:

17.0ms	(-.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))
4.0ms	(+.f64 (*.f64 z x) x)

rewrite28.0ms (1%)

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)))
6.0ms	(+.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 (3.4%)

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

prune97.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	171	2	173

Error

Counts

173 → 2

Alt Table

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

Compiler

Compiled 4759 to 651 computations (86.3% saved)

regimes267.0ms (9.1%)

Accuracy

Total 0.0b remaining (75.1%)

Threshold costs 0.0b (75.1%)

Counts

46 → 1

Compiler

Compiled 4102 to 2469 computations (39.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`+-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	16	19
2	20	19
3	22	19
4	23	19
5	23	19

end1.0ms (0%)

Compiler: Compiled 18 to 9 computations (50% saved)

sample1.1s (36.5%)

Algorithm

1×

intervals

Results

366.0ms	8000×	body	128	valid
95.0ms	2596×	body	128	invalid

Compiler

Compiled 69 to 41 computations (40.6% saved)

Details

analyze884.0ms (30.2%)

sample101.0ms (3.5%)

simplify183.0ms (6.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series12.0ms (0.4%)

rewrite1.0ms (0%)

simplify101.0ms (3.4%)

prune24.0ms (0.8%)

localize10.0ms (0.3%)

series40.0ms (1.4%)

rewrite28.0ms (1%)

simplify100.0ms (3.4%)

prune97.0ms (3.3%)

regimes267.0ms (9.1%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.1s (36.5%)

Profiling