Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

328×

body

valid

simplify248.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

9.0ms

(+ (* x y) (* (- 1.0 x) z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(+ (* x y) (* (- 1.0 x) z))

simplify888.0ms

Counts: 14 → 14

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))
0.0b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.0b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.2b	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite82.0ms

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×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

9.0ms	(+ (* x y) (* (- 1.0 x) z))
8.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
8.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
53.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* x y) (* (- 1.0 x) z))
173.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
171.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
47.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify588.0ms

Counts: 110 → 110

prune334.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite95.0ms

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:

61.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
14.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
7.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
7.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

series948.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
224.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
192.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
225.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify540.0ms

Counts: 99 → 99

prune461.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
2.3b	(exp (log (cbrt (+ (* x y) (* (- 1.0 x) z)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`log-prod` `exp-sum`
5×	`pow1` `exp-prod`
4×	`add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`log-div` `exp-diff` `log-pow`
1×	`rem-exp-log`

Counts

4 → 60

Calls

4 calls:

8.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
8.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
8.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
16.0ms	(exp (log (cbrt (+ (* x y) (* (- 1.0 x) z)))))

series741.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
179.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
176.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
205.0ms	(exp (log (cbrt (+ (* x y) (* (- 1.0 x) z)))))

simplify775.0ms

Counts: 72 → 72

prune398.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify272.0ms

end0.0ms

sample881.0ms

Algorithm

intervals

Results

417.0ms

10171×

body

valid