Details

analyze113.0ms (6.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
37.5%	40.6%	22%	7
43.7%	32.8%	23.5%	8
43.7%	21.1%	35.2%	9
46.8%	16.8%	36.4%	10
46.8%	10.7%	42.4%	11
48.4%	8.5%	43.1%	12
48.4%	5.4%	46.2%	13
49.2%	4.3%	46.6%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.0s (54.7%)

Results

815.0ms	8256×	body	128	valid
96.0ms	570×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify94.0ms (5%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-l_binary64`
414×	`associate-*l/_binary64`
380×	`sqr-pow_binary64`
368×	`unswap-sqr_binary64`
321×	`exp-prod_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	13	9
3	22	9
4	48	9
5	110	9
6	268	9
7	777	9
8	1444	9
9	2361	9
10	2675	9
11	3160	9
12	4242	9
13	4964	9
14	4781	9

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (exp.f64 (.f64 y y)))

series13.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

3.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

simplify76.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1088×	`fma-def_binary64`
514×	`distribute-rgt-out_binary64`
319×	`distribute-rgt-in_binary64`
298×	`*-commutative_binary64`
283×	`distribute-lft-in_binary64`

Counts

44 → 38

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	500
1	119	462
2	339	455
3	810	453
4	1612	453
5	3757	453
6	4476	453
7	4923	453

prune17.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Error

Counts

39 → 2

Alt Table

Status	Error	Program
▶	37.6b	(cbrt.f64 (.f64 (.f64 (.f64 x (exp.f64 (.f64 y y))) (.f64 x (exp.f64 (.f64 y y)))) (.f64 x (exp.f64 (.f64 y y)))))
✓	0.0b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 484 to 152 computations (68.6% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 x (exp.f64 (.f64 y y)))
✓	0.0b	(.f64 (.f64 x (exp.f64 (.f64 y y))) (.f64 x (exp.f64 (*.f64 y y))))
✓	0.1b	(.f64 (.f64 (.f64 x (exp.f64 (.f64 y y))) (.f64 x (exp.f64 (.f64 y y)))) (.f64 x (exp.f64 (.f64 y y))))
✓	36.1b	(cbrt.f64 (.f64 (.f64 (.f64 x (exp.f64 (.f64 y y))) (.f64 x (exp.f64 (.f64 y y)))) (.f64 x (exp.f64 (.f64 y y)))))

series94.0ms (5%)

Counts

3 → 72

Calls

3 calls:

43.0ms

(*.f64 (*.f64 (*.f64 x (exp.f64 (*.f64 y y))) (*.f64 x (exp.f64 (*.f64 y y)))) (*.f64 x (exp.f64 (*.f64 y y))))

29.0ms

(*.f64 (*.f64 x (exp.f64 (*.f64 y y))) (*.f64 x (exp.f64 (*.f64 y y))))

22.0ms

(cbrt.f64 (*.f64 (*.f64 (*.f64 x (exp.f64 (*.f64 y y))) (*.f64 x (exp.f64 (*.f64 y y)))) (*.f64 x (exp.f64 (*.f64 y y)))))

rewrite50.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

197×	`pow1_binary64`
86×	`pow-prod-down_binary64`
65×	`add-cbrt-cube_binary64`
42×	`cbrt-unprod_binary64`
39×	`prod-exp_binary64`

Counts

3 → 126

Calls

3 calls:

15.0ms

(*.f64 (*.f64 (*.f64 x (exp.f64 (*.f64 y y))) (*.f64 x (exp.f64 (*.f64 y y)))) (*.f64 x (exp.f64 (*.f64 y y))))

10.0ms

(cbrt.f64 (*.f64 (*.f64 (*.f64 x (exp.f64 (*.f64 y y))) (*.f64 x (exp.f64 (*.f64 y y)))) (*.f64 x (exp.f64 (*.f64 y y)))))

6.0ms

(*.f64 (*.f64 x (exp.f64 (*.f64 y y))) (*.f64 x (exp.f64 (*.f64 y y))))

simplify126.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

445×	`fma-def_binary64`
406×	`*-commutative_binary64`
364×	`sqr-pow_binary64`
297×	`log-prod_binary64`
253×	`associate-l_binary64`

Counts

198 → 131

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	128	3404
1	322	2076
2	1041	1974
3	2428	1964
4	3834	1828
5	4816	1828
6	4936	1828

prune84.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	245	2	247

Error

Counts

247 → 2

Alt Table

Status	Error	Program
✓	37.6b	(cbrt.f64 (.f64 (.f64 (.f64 x (exp.f64 (.f64 y y))) (.f64 x (exp.f64 (.f64 y y)))) (.f64 x (exp.f64 (.f64 y y)))))
✓	0.0b	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 6272 to 1198 computations (80.9% saved)

regimes103.0ms (5.5%)

Accuracy

Total 0.0b remaining (3.7%)

Threshold costs 0.0b (3.7%)

Counts

21 → 1

Compiler

Compiled 1605 to 977 computations (39.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end57.0ms (3%)

Compiler: Compiled 47 to 23 computations (51.1% saved)

Details

analyze113.0ms (6.1%)

sample1.0s (54.7%)

simplify94.0ms (5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series13.0ms (0.7%)

rewrite4.0ms (0.2%)

simplify76.0ms (4.1%)

prune17.0ms (0.9%)

localize7.0ms (0.4%)

series94.0ms (5%)

rewrite50.0ms (2.7%)

simplify126.0ms (6.7%)

prune84.0ms (4.5%)

regimes103.0ms (5.5%)

simplify4.0ms (0.2%)

end57.0ms (3%)

Profiling