Details

Time bar (total: 12.0s)

sample35.0ms

Algorithm
intervals
Results
14.0ms325×body80valid

simplify87.0ms

Counts
1 → 1
Iterations
IterNodes
done124
6124
5122
498
367
232
112
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- 1.0 y) (* x y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt
1×flip3-- associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 22
Calls
1 calls:
48.0ms
(* (- 1.0 y) (* x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (- 1.0 y) (* x y))

simplify3.3s

Counts
25 → 25
Iterations
IterNodes
done5000
34788
2624
1141
053

prune126.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite79.0ms

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×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
7.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
53.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series508.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (- 1.0 y))
114.0ms
(cbrt (- 1.0 y))
137.0ms
(cbrt (- 1.0 y))
143.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify874.0ms

Counts
113 → 113
Iterations
IterNodes
done5000
21212
1342
0150

prune589.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
396×cbrt-div
148×frac-times
126×flip3-- flip--
92×cbrt-prod
84×add-sqr-sqrt
74×*-un-lft-identity
50×associate-*l/ associate-*r/
34×swap-sqr
32×pow1 add-cube-cbrt
28×associate-*r* associate-*l*
24×pow1/3
18×distribute-lft-out--
16×unswap-sqr
12×add-exp-log difference-of-squares
8×pow-prod-down pow-sqr pow-prod-up
4×pow2 pow-plus add-cbrt-cube prod-exp *-commutative cbrt-unprod add-log-exp
Counts
4 → 282
Calls
4 calls:
46.0ms
(* (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
61.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
40.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
35.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series692.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))))
165.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
145.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
190.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify903.0ms

Counts
294 → 294
Iterations
IterNodes
done5001
21802
1565
0302

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* y x) (- 1.0 y))) (cbrt (* (* y x) (- 1.0 y))))
8.7b
(cbrt (* (* y x) (- 1.0 y)))
8.7b
(cbrt (* (* y x) (- 1.0 y)))
8.7b
(cbrt (* (* y x) (- 1.0 y)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
57.0ms
(* (cbrt (* (* y x) (- 1.0 y))) (cbrt (* (* y x) (- 1.0 y))))
25.0ms
(cbrt (* (* y x) (- 1.0 y)))
26.0ms
(cbrt (* (* y x) (- 1.0 y)))
26.0ms
(cbrt (* (* y x) (- 1.0 y)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (* (* y x) (- 1.0 y))) (cbrt (* (* y x) (- 1.0 y))))
143.0ms
(cbrt (* (* y x) (- 1.0 y)))
158.0ms
(cbrt (* (* y x) (- 1.0 y)))
124.0ms
(cbrt (* (* y x) (- 1.0 y)))

simplify737.0ms

Counts
84 → 84
Iterations
IterNodes
done5000
21338
1393
0158

prune565.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample885.0ms

Algorithm
intervals
Results
476.0ms10690×body80valid