Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
99.8%	0%	0.2%	1

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.5s (43.2%)

Infinites

26.7% of outputs are infinite.

Results

1.2s	8078×	body	128	valid
36.0ms	85×	body	1024	valid
16.0ms	50×	body	512	valid
9.0ms	43×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

prune6.0ms (0.2%)

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 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize15.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

series35.0ms (1%)

Counts

1 → 48

Calls

1 calls:

34.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

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:

1.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

simplify126.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/r/_binary64`
476×	`times-frac_binary64`
403×	`*-commutative_binary64`
295×	`distribute-rgt-in_binary64`
294×	`distribute-lft-in_binary64`

Counts

58 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1128
1	94	938
2	191	822
3	375	822
4	1548	822
5	1595	822
6	2051	822
7	2189	822
8	3165	822
9	5066	822

prune51.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Alt Table

Status	Error	Program
	29.1b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5)) (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (.f64 y 5))) (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Status

Error

Program

29.1b

(cbrt.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5)) (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))) (fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))))

▶

0.0b

(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Compiler

Compiled 606 to 327 computations (46% saved)

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series62.0ms (1.8%)

Counts

2 → 96

Calls

2 calls:

33.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
29.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 32

Calls

2 calls:

5.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
1.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

simplify192.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
401×	`associate-*l/_binary64`
340×	`*-commutative_binary64`
311×	`sqr-pow_binary64`
278×	`distribute-lft-in_binary64`

Counts

128 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	2086
1	170	1615
2	433	1611
3	1581	1611
4	2611	1611
5	2923	1611
6	3319	1611
7	4819	1611
8	4807	1611

prune97.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	80	2	82

Error

Counts

82 → 2

Alt Table

Status	Error	Program
▶	22.1b	(fma.f64 5 y (cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Compiler

Compiled 1303 to 674 computations (48.3% saved)

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 5 y (cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))))
✓	0.1b	(.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))
✓	0.3b	(.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (*.f64 x (fma.f64 2 (+.f64 y z) t)))
✓	25.4b	(cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t))))

series331.0ms (9.3%)

Counts

4 → 192

Calls

4 calls:

131.0ms	(.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))
109.0ms	(.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (*.f64 x (fma.f64 2 (+.f64 y z) t)))
47.0ms	(cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t))))
43.0ms	(fma.f64 5 y (cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))))

rewrite49.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

198×	`pow1_binary64`
86×	`pow-prod-down_binary64`
66×	`add-cbrt-cube_binary64`
57×	`add-exp-log_binary64`
42×	`cbrt-unprod_binary64`

Counts

4 → 144

Calls

4 calls:

11.0ms	(.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))
9.0ms	(cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t))))
5.0ms	(.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (*.f64 x (fma.f64 2 (+.f64 y z) t)))
0.0ms	(fma.f64 5 y (cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))))

simplify331.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-def_binary64`
443×	`associate-l_binary64`
423×	`associate-r_binary64`
386×	`associate-+r+_binary64`
377×	`distribute-rgt-out_binary64`

Counts

336 → 230

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	11283
1	919	7951
2	3448	7334
3	5213	7334

prune381.0ms (10.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	230	2	232

Error

Counts

232 → 2

Alt Table

Status	Error	Program
✓	22.1b	(fma.f64 5 y (cbrt.f64 (.f64 (.f64 (.f64 x (fma.f64 2 (+.f64 y z) t)) (.f64 x (fma.f64 2 (+.f64 y z) t))) (*.f64 x (fma.f64 2 (+.f64 y z) t)))))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Compiler

Compiled 8741 to 4851 computations (44.5% saved)

regimes194.0ms (5.5%)

Accuracy

Total 0.0b remaining (7.4%)

Threshold costs 0.0b (7.4%)

Counts

37 → 1

Compiler

Compiled 2858 to 1956 computations (31.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
2	13	15

end57.0ms (1.6%)

Compiler: Compiled 79 to 49 computations (38% saved)

Details

analyze4.0ms (0.1%)

sample1.5s (43.2%)

simplify30.0ms (0.8%)

prune6.0ms (0.2%)

localize15.0ms (0.4%)

series35.0ms (1%)

rewrite1.0ms (0%)

simplify126.0ms (3.6%)

prune51.0ms (1.4%)

localize16.0ms (0.5%)

series62.0ms (1.8%)

rewrite8.0ms (0.2%)

simplify192.0ms (5.4%)

prune97.0ms (2.7%)

localize21.0ms (0.6%)

series331.0ms (9.3%)

rewrite49.0ms (1.4%)

simplify331.0ms (9.4%)

prune381.0ms (10.8%)

regimes194.0ms (5.5%)

simplify2.0ms (0.1%)

end57.0ms (1.6%)

Profiling