Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

287×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	31	3
2	56	3
3	62	3
4	62	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 1 expressions with local error:

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

rewrite3.0ms

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:

3.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	79
1	288	72
2	1507	72
3	5001	72

prune24.0ms

Filtered

15 candidates to 12 candidates (80.0%)

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.2b	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite22.0ms

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 (* (* y 4.0) z))
2.0ms	(sqrt (- x (* (* y 4.0) z)))
2.0ms	(sqrt (- x (* (* y 4.0) z)))
12.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- x (* (* y 4.0) z))
65.0ms	(sqrt (- x (* (* y 4.0) z)))
64.0ms	(sqrt (- x (* (* y 4.0) z)))
47.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	256	791
1	1018	716
2	5002	693

prune168.0ms

Filtered

111 candidates to 66 candidates (59.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z))))
0.1b	(* (* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z)))) (sqrt (cbrt (- x (* (* y 4.0) z)))))
0.5b	(cbrt (- x (* (* y 4.0) z)))
0.5b	(cbrt (- x (* (* y 4.0) z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/` `sqrt-prod`
9×	`cbrt-prod` `flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

6.0ms	(* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z))))
11.0ms	(* (* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z)))) (sqrt (cbrt (- x (* (* y 4.0) z)))))
2.0ms	(cbrt (- x (* (* y 4.0) z)))
2.0ms	(cbrt (- x (* (* y 4.0) z)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z))))
274.0ms	(* (* (fabs (cbrt (- x (* (* y 4.0) z)))) (sqrt (- x (* (* y 4.0) z)))) (sqrt (cbrt (- x (* (* y 4.0) z)))))
149.0ms	(cbrt (- x (* (* y 4.0) z)))
144.0ms	(cbrt (- x (* (* y 4.0) z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	658	1507
1	2482	1385
2	5001	1368

prune288.0ms

Filtered

94 candidates to 75 candidates (79.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	3	97

Merged error: 0b

Counts

97 → 3

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample348.0ms

Algorithm

intervals

Results

175.0ms

9130×

body

valid