Details

Time bar (total: 19.1s)

sample30.0ms

Algorithm
intervals
Results
11.0ms317×body80valid

simplify5.5s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
7.0ms
(+ x (* (- y x) z))
35.0ms
(* (- y x) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ x (* (- y x) z))
44.0ms
(* (- y x) z)

simplify1.2s

Counts
39 → 39

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite69.0ms

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:
50.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
6.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
5.0ms
(cbrt (- y x))

series860.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
238.0ms
(cbrt (- y x))
229.0ms
(cbrt (- y x))
212.0ms
(cbrt (- y x))

simplify616.0ms

Counts
113 → 113

prune478.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-- flip--
12×frac-times
8×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r/ associate-*l/
5×add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
1×distribute-lft-out-- difference-of-squares
Counts
4 → 66
Calls
4 calls:
11.0ms
(cbrt (- y x))
25.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
29.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
30.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (- y x))
164.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
237.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
184.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))

simplify983.0ms

Counts
78 → 78

prune461.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
2.2b
(- (* y y) (* x x))
21.3b
(cbrt (- (* y y) (* x x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log flip3-- add-cbrt-cube flip-- difference-of-squares
3×pow1/3
2×distribute-lft-out--
1×sub-neg diff-log
Counts
4 → 57
Calls
4 calls:
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
14.0ms
(- (* y y) (* x x))
12.0ms
(cbrt (- (* y y) (* x x)))

series630.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt (- y x))
200.0ms
(cbrt (- y x))
57.0ms
(- (* y y) (* x x))
148.0ms
(cbrt (- (* y y) (* x x)))

simplify1.4s

Counts
69 → 69

prune356.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.5s

end0.0ms

sample683.0ms

Algorithm
intervals
Results
268.0ms10115×body80valid