Details

Time bar (total: 29.0s)

sample55.0ms

Algorithm
intervals
Results
32.0ms358×body80valid

simplify691.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41027
51137
done1137

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 1 expressions with local error:

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

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
188.0ms
(* (* x y) (- 1.0 y))

series217.0ms

Counts
1 → 3
Calls
1 calls:
203.0ms
(* (* x y) (- 1.0 y))

simplify2.8s

Counts
29 → 29
Iterations

Useful iterations: done (2.8s)

IterNodesCost
060303
1175294
21142254
done5000242

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

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

rewrite365.0ms

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:
219.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
8.0ms
(cbrt (- 1.0 y))
21.0ms
(cbrt (- 1.0 y))
10.0ms
(cbrt (- 1.0 y))

series917.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
182.0ms
(cbrt (- 1.0 y))
169.0ms
(cbrt (- 1.0 y))
337.0ms
(cbrt (- 1.0 y))

simplify2.5s

Counts
113 → 113
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01481569
13421431
211651360
done50001320

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.2b
(* x (* y (- 1.0 y)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
50.0ms
(* y (- 1.0 y))
72.0ms
(* x (* y (- 1.0 y)))

series501.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* y (- 1.0 y))
395.0ms
(* x (* y (- 1.0 y)))

simplify1.7s

Counts
60 → 60
Iterations

Useful iterations: done (1.7s)

IterNodesCost
084545
1220533
2951475
done5000469

prune248.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y)) (cbrt (- 1.0 y)))
0.1b
(* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y))
0.2b
(cbrt (- 1.0 y))
5.4b
(cbrt (* (- 1.0 y) (- 1.0 y)))

rewrite512.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
50×associate-*l/
40×flip3-- flip--
36×frac-times
18×pow1 add-exp-log
12×cbrt-prod add-sqr-sqrt *-un-lft-identity associate-*r/
11×add-cbrt-cube
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
5×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
295.0ms
(* (* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y)) (cbrt (- 1.0 y)))
100.0ms
(* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y))
9.0ms
(cbrt (- 1.0 y))
31.0ms
(cbrt (* (- 1.0 y) (- 1.0 y)))

series3.0s

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y)) (cbrt (- 1.0 y)))
2.0s
(* (cbrt (* (- 1.0 y) (- 1.0 y))) (* x y))
309.0ms
(cbrt (- 1.0 y))
445.0ms
(cbrt (* (- 1.0 y) (- 1.0 y)))

simplify6.7s

Counts
123 → 123
Iterations

Useful iterations: done (6.5s)

IterNodesCost
02542686
16572581
228502447
done50012410

prune2.4s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes490.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.6s10661×body80valid