Details

sample20.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

7.0ms

320×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	750	3
11	1136	3
12	1818	3
13	5002	3

prune3.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (- z x)))
15.0ms	(* y (- z x))

simplify85.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune42.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0b

Counts

48 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (* y z) (* y (neg x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
2×	`associate-+r-` `distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `unsub-neg` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 16

Calls

1 calls:

5.0ms

(+ x (+ (* y z) (* y (neg x))))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ x (+ (* y z) (* y (neg x))))

simplify64.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	111	127
1	447	111
2	2294	110
3	5001	110

prune21.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Merged error: 0b

Counts

21 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z x))
0.0b	(sqrt (- z x))
0.1b	(* y (sqrt (- z x)))
0.2b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- z x))
3.0ms	(sqrt (- z x))
7.0ms	(* y (sqrt (- z x)))
11.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (- z x))
9.0ms	(sqrt (- z x))
17.0ms	(* y (sqrt (- z x)))
7.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	332	601
1	1443	545
2	5001	528

prune82.0ms

Filtered

68 candidates to 103 candidates (-51.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample524.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

235.0ms

10090×

body

valid

Details

sample20.0ms

simplify75.0ms

prune3.0ms

localize5.0ms

rewrite17.0ms

series22.0ms

simplify85.0ms

prune42.0ms

localize10.0ms

rewrite5.0ms

series7.0ms

simplify64.0ms

prune21.0ms

localize7.0ms

rewrite30.0ms

series42.0ms

simplify41.0ms

prune82.0ms

regimes115.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample524.0ms

Profiling