Details

sample27.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

11.0ms

416×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	4

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

4.0ms

(- (* x x) (* (* y 4.0) z))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(- (* x x) (* (* y 4.0) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	103
1	400	93
2	1856	93
3	5002	93

prune24.0ms

Filtered

10 candidates to 15 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.1b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
2.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.7b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

3.0ms	(- (* x x) (* (* y 4.0) z))
11.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
4.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* x x) (* (* y 4.0) z))
9.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
16.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
14.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	220	916
1	896	840
2	5001	814

prune126.0ms

Filtered

65 candidates to 111 candidates (-70.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	111	2	113

Merged error: 0.0b

Counts

113 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)
2.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.7b	(sqrt (- (* x x) (* (* y 4.0) z)))
14.9b	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod` `add-sqr-sqrt` `sqrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
8×	`pow1` `sqrt-div`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`cube-mult` `rem-sqrt-square` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 93

Calls

4 calls:

5.0ms	(pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
5.0ms	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

series51.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)
13.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
13.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
14.0ms	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	262	811
1	1007	782
2	5002	772

prune144.0ms

Filtered

66 candidates to 105 candidates (-59.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Merged error: 0.0b

Counts

107 → 2

regimes280.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample658.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

335.0ms

12213×

body

valid

Details

sample27.0ms

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series8.0ms

simplify64.0ms

prune24.0ms

localize8.0ms

rewrite25.0ms

series48.0ms

simplify42.0ms

prune126.0ms

localize13.0ms

rewrite19.0ms

series51.0ms

simplify41.0ms

prune144.0ms

regimes280.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample658.0ms

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