Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

428×

body

valid

simplify55.0ms

Counts: 1 → 1

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))

rewrite14.0ms

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:

14.0ms

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

series113.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

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

simplify1.3s

Counts: 15 → 15

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.6b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.6b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.6b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite129.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

97.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
8.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
13.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
7.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
179.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
185.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
161.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify2.4s

Counts: 99 → 99

prune469.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

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))))
2.1b	(sqrt (- (* x x) (* (* y 4.0) z)))
2.1b	(sqrt (- (* x x) (* (* y 4.0) z)))

rewrite186.0ms

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:

19.0ms	(- (* x x) (* (* y 4.0) z))
113.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
27.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
20.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

series779.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* x x) (* (* y 4.0) z))
456.0ms	(* (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))))
119.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))
127.0ms	(sqrt (- (* x x) (* (* y 4.0) z)))

simplify674.0ms

Counts: 111 → 111

prune315.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify40.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

562.0ms

12289×

body

valid