Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

391×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	33	4
2	64	4
3	79	4
4	79	4
done	79	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

8.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify78.0ms

Counts

19 → 19

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	113	123
1	540	111
2	2732	108
3	5001	104
done	5001	104

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
3.9b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.9b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.9b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

51.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
98.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
99.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
98.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify144.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	274	1280
1	1024	1201
2	4853	1129
3	5001	1129
done	5001	1129

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))
0.2b	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
3.3b	(sqrt (- (* x x) (* (* y 4.0) z)))
3.3b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite86.0ms

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×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `fma-neg` `sqrt-unprod` `diff-log` `prod-diff` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

10.0ms	(- (* x x) (* (* y 4.0) z))
49.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
13.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
11.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* x x) (* (* y 4.0) z))
48.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
70.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
67.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify43.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	970
1	1040	891
2	5002	857
done	5002	857

prune222.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4
done	10	4

end0.0ms

sample565.0ms

Algorithm

intervals

Results

256.0ms

12174×

body

valid