Details

Time bar (total: 13.1s)

sample43.0ms

Algorithm
intervals
Results
18.0ms317×body80valid

simplify2.3s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
13.0ms
(+ x (* (* (- y x) 6.0) z))
33.0ms
(* (- y x) 6.0)
52.0ms
(* (* (- y x) 6.0) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ x (* (* (- y x) 6.0) z))
31.0ms
(* (- y x) 6.0)
47.0ms
(* (* (- y x) 6.0) z)

simplify613.0ms

Counts
62 → 62

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.3b
(* (- y x) (* 6.0 z))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
8.0ms
(+ x (* (- y x) (* 6.0 z)))
52.0ms
(* (- y x) (* 6.0 z))

series93.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (* (- y x) (* 6.0 z)))
41.0ms
(* (- y x) (* 6.0 z))

simplify2.0s

Counts
39 → 39

prune103.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
61.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
13.0ms
(cbrt (- y x))
6.0ms
(cbrt (- y x))
6.0ms
(cbrt (- y x))

series1.2s

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
224.0ms
(cbrt (- y x))
622.0ms
(cbrt (- y x))
207.0ms
(cbrt (- y x))

simplify529.0ms

Counts
113 → 113

prune308.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
17.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series900.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt z) (cbrt z))
219.0ms
(cbrt z)
206.0ms
(cbrt z)
242.0ms
(cbrt z)

simplify900.0ms

Counts
85 → 85

prune258.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0s

end0.0ms

sample1.0s

Algorithm
intervals
Results
463.0ms10132×body80valid