Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

363×

body

valid

simplify38.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `associate-*l/` `sum-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

15.0ms	(+ (* (+ (* x y) z) y) t)
8.0ms	(+ (* x y) z)
36.0ms	(* (+ (* x y) z) y)

series149.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* (+ (* x y) z) y) t)
24.0ms	(+ (* x y) z)
43.0ms	(* (+ (* x y) z) y)

simplify1.4s

Counts: 51 → 51

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

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:

81.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
8.0ms	(cbrt (+ (* x y) z))
8.0ms	(cbrt (+ (* x y) z))
9.0ms	(cbrt (+ (* x y) z))

series696.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
176.0ms	(cbrt (+ (* x y) z))
141.0ms	(cbrt (+ (* x y) z))
171.0ms	(cbrt (+ (* x y) z))

simplify1.5s

Counts: 99 → 99

prune287.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (+ (* x y) z))
0.9b	(- (* (* x y) (* x y)) (* z z))
20.7b	(cbrt (- (* (* x y) (* x y)) (* z z)))

rewrite76.0ms

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:

6.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
30.0ms	(- (* (* x y) (* x y)) (* z z))
33.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ (* x y) z))
115.0ms	(cbrt (+ (* x y) z))
70.0ms	(- (* (* x y) (* x y)) (* z z))
107.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))

simplify603.0ms

Counts: 65 → 65

prune380.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (* (* x y) (* x y)) (* z z))
10.0b	(/ (* (cbrt (- (* (* x y) (* x y)) (* z z))) (cbrt (- (* (* x y) (* x y)) (* z z)))) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z))))
20.7b	(cbrt (- (* (* x y) (* x y)) (* z z)))
20.7b	(cbrt (- (* (* x y) (* x y)) (* z z)))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

33.0ms	(- (* (* x y) (* x y)) (* z z))
145.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* z z))) (cbrt (- (* (* x y) (* x y)) (* z z)))) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z))))
29.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))
41.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* (* x y) (* x y)) (* z z))
203.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* z z))) (cbrt (- (* (* x y) (* x y)) (* z z)))) (* (cbrt (- (* x y) z)) (cbrt (- (* x y) z))))
102.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))
128.0ms	(cbrt (- (* (* x y) (* x y)) (* z z)))

simplify646.0ms

Counts: 90 → 90

prune473.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify38.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

536.0ms

11288×

body

valid