Details

sample39.0ms

Algorithm

intervals

Results

14.0ms

350×

body

valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite14.0ms

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:

14.0ms

(+ (* x y) (* z t))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(+ (* x y) (* z t))

simplify151.0ms

Counts: 14 → 14

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))

rewrite65.0ms

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:

42.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
10.0ms	(cbrt (+ (* x y) (* z t)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
157.0ms	(cbrt (+ (* x y) (* z t)))
131.0ms	(cbrt (+ (* x y) (* z t)))
125.0ms	(cbrt (+ (* x y) (* z t)))

simplify65.0ms

Counts: 99 → 99

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.6b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
29.3b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`
1×	`sub-neg` `diff-log`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
30.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
33.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ (* x y) (* z t)))
118.0ms	(cbrt (+ (* x y) (* z t)))
115.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
133.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify41.0ms

Counts: 65 → 65

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* x y) (* z t))
29.3b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
29.3b	(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
37.9b	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`cbrt-prod`
9×	`*-un-lft-identity`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `flip-+`
1×	`flip3--` `associate-r` `associate-l` `sum-cubes` `*-commutative` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

39.0ms	(* (* x y) (* z t))
28.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
101.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
10.0ms	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* x y) (* z t))
158.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
209.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
141.0ms	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

simplify88.0ms

Counts: 76 → 76

prune483.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

652.0ms

10471×

body

valid