Details

analyze1.1s (39.8%)

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)

sample98.0ms (3.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	69×	body	128	invalid

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify181.0ms (6.4%)

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)

series14.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

13.0ms

(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)

simplify79.0ms (2.8%)

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

prune23.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	2	38

Error

Counts

38 → 2

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)))

Compiler

Compiled 461 to 122 computations (73.5% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series31.0ms (1.1%)

Counts

3 → 57

Calls

3 calls:

16.0ms	(-.f64 (+.f64 (.f64 y t) (+.f64 (.f64 z x) x)) (+.f64 (.f64 y x) (.f64 t z)))
9.0ms	(+.f64 (.f64 y x) (.f64 t z))
6.0ms	(+.f64 (*.f64 z x) x)

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-log-exp_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
11×	`sum-log_binary64`

Counts

3 → 71

Calls

3 calls:

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

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

407×	`cancel-sign-sub-inv_binary64`
247×	`fma-neg_binary64`
239×	`distribute-rgt-neg-in_binary64`
202×	`distribute-lft-neg-in_binary64`
199×	`associate-l_binary64`

Counts

128 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2405
1	576	2273
2	2384	2125
3	4641	2125
4	4937	2125

prune79.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	140	2	142

Error

Counts

142 → 2

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)))

Compiler

Compiled 4075 to 578 computations (85.8% saved)

regimes215.0ms (7.7%)

Accuracy

Total 0.0b remaining (65.5%)

Threshold costs 0.0b (65.5%)

Counts

40 → 1

Compiler

Compiled 3536 to 2134 computations (39.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
2	20	11
3	24	11
4	26	11
5	26	11

end0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

sample833.0ms (29.7%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
98.0ms	2491×	body	128	invalid

Compiler

Compiled 63 to 39 computations (38.1% saved)

Details

analyze1.1s (39.8%)

sample98.0ms (3.5%)

simplify181.0ms (6.4%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series14.0ms (0.5%)

rewrite1.0ms (0%)

simplify79.0ms (2.8%)

prune23.0ms (0.8%)

localize10.0ms (0.4%)

series31.0ms (1.1%)

rewrite22.0ms (0.8%)

simplify91.0ms (3.2%)

prune79.0ms (2.8%)

regimes215.0ms (7.7%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample833.0ms (29.7%)

Profiling