Details

Time bar (total: 7.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms291×body80valid

simplify21.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) x)

rewrite19.0ms

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:
19.0ms
(- (* x y) x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- (* x y) x)

simplify2.5s

Counts
15 → 15

prune25.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (* x y) x))
0.5b
(cbrt (- (* x y) x))
0.5b
(cbrt (- (* x y) x))
0.6b
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

rewrite81.0ms

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:
6.0ms
(cbrt (- (* x y) x))
7.0ms
(cbrt (- (* x y) x))
9.0ms
(cbrt (- (* x y) x))
55.0ms
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(cbrt (- (* x y) x))
110.0ms
(cbrt (- (* x y) x))
101.0ms
(cbrt (- (* x y) x))
104.0ms
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

simplify461.0ms

Counts
99 → 99

prune331.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (- (* x y) x)))
0.5b
(cbrt (cbrt (- (* x y) x)))
0.5b
(cbrt (cbrt (- (* x y) x)))
0.6b
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
26×add-sqr-sqrt
24×cbrt-div
18×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 → 96
Calls
4 calls:
11.0ms
(cbrt (cbrt (- (* x y) x)))
12.0ms
(cbrt (cbrt (- (* x y) x)))
12.0ms
(cbrt (cbrt (- (* x y) x)))
96.0ms
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(cbrt (cbrt (- (* x y) x)))
78.0ms
(cbrt (cbrt (- (* x y) x)))
78.0ms
(cbrt (cbrt (- (* x y) x)))
104.0ms
(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

simplify524.0ms

Counts
108 → 108

prune467.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y (* x y)) x)
0.1b
(* y (* x y))
1.9b
(* x (- (* y (* x y)) x))
27.2b
(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
5×prod-exp cbrt-unprod
4×associate-*r/ associate-*r* pow-prod-down
3×sub-neg flip3-- times-frac associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
21.0ms
(- (* y (* x y)) x)
23.0ms
(* y (* x y))
113.0ms
(* x (- (* y (* x y)) x))
83.0ms
(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

series326.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* y (* x y)) x)
23.0ms
(* y (* x y))
91.0ms
(* x (- (* y (* x y)) x))
167.0ms
(/ (* x (- (* y (* x y)) x)) (+ (* x y) x))

simplify880.0ms

Counts
91 → 91

prune168.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify14.0ms

end0.0ms

sample465.0ms

Algorithm
intervals
Results
211.0ms9127×body80valid