Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

402×

body

valid

simplify9.0ms

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

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

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:

3.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify62.0ms

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

prune22.0ms

Filtered

15 candidates to 10 candidates (66.7%)

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))))
2.3b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.3b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite27.0ms

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))
14.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* x x) (* (* y 4.0) z))
46.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
69.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
65.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	225	918
1	901	842
2	5001	814

prune170.0ms

Filtered

111 candidates to 65 candidates (58.6%)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)))
2.3b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.3b	(sqrt (- (* x x) (* (* y 4.0) z)))
18.6b	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod`
47×	`add-sqr-sqrt`
32×	`sqrt-prod`
21×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-div`
16×	`unpow-prod-down` `cube-prod`
14×	`unswap-sqr`
9×	`flip3--` `flip--`
8×	`pow1` `cube-div` `cbrt-div`
6×	`add-exp-log` `associate-l`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp` `sqr-pow`
2×	`cube-mult` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unpow3` `associate-r/` `associate-l/`
1×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

18.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (cbrt (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))

series251.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3)))
70.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
71.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
67.0ms	(cbrt (pow (sqrt (- (* x x) (* (* y 4.0) z))) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	326	1526
1	1279	1184
2	5001	1156

prune248.0ms

Filtered

131 candidates to 79 candidates (60.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	2	133

Merged error: 0.0b

Counts

133 → 2

regimes98.0ms

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	10	4
1	10	4

end0.0ms

sample592.0ms

Algorithm

intervals

Results

342.0ms

12209×

body

valid

Details

sample21.0ms

simplify9.0ms

prune2.0ms

localize6.0ms

rewrite4.0ms

series46.0ms

simplify62.0ms

prune22.0ms

localize8.0ms

rewrite27.0ms

series223.0ms

simplify41.0ms

prune170.0ms

localize11.0ms

rewrite35.0ms

series251.0ms

simplify61.0ms

prune248.0ms

regimes98.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample592.0ms

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