Details

Time bar (total: 11.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms357×body80valid

simplify178.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3747
41347
51707
61937
done1937

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
36.0ms
(* (* x y) (- 1.0 y))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* (* x y) (- 1.0 y))

simplify1.9s

Counts
49 → 49
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0110883
1336718
22285586
done5001562

prune95.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
11.7b
(cbrt (* (* x y) (- 1.0 y)))
11.7b
(cbrt (* (* x y) (- 1.0 y)))
11.7b
(cbrt (* (* x y) (- 1.0 y)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 80
Calls
4 calls:
56.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
33.0ms
(cbrt (* (* x y) (- 1.0 y)))
35.0ms
(cbrt (* (* x y) (- 1.0 y)))
34.0ms
(cbrt (* (* x y) (- 1.0 y)))

series796.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
186.0ms
(cbrt (* (* x y) (- 1.0 y)))
187.0ms
(cbrt (* (* x y) (- 1.0 y)))
190.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify905.0ms

Counts
92 → 92
Iterations

Useful iterations: done (900.0ms)

IterNodesCost
01712079
14461907
216861747
done50011468

prune401.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
11.7b
(cbrt (* (* x y) (- 1.0 y)))
11.7b
(cbrt (* (* x y) (- 1.0 y)))
11.7b
(cbrt (* x y))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
16×cbrt-div
9×pow1 add-exp-log
8×flip3-- flip--
6×pow1/3
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down add-cbrt-cube
4×cbrt-prod expm1-log1p-u frac-times associate-*l* log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 67
Calls
4 calls:
102.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
34.0ms
(cbrt (* (* x y) (- 1.0 y)))
33.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* x y))

series733.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
195.0ms
(cbrt (* (* x y) (- 1.0 y)))
190.0ms
(cbrt (* (* x y) (- 1.0 y)))
73.0ms
(cbrt (* x y))

simplify985.0ms

Counts
79 → 79
Iterations

Useful iterations: done (981.0ms)

IterNodesCost
01951632
15121574
216191437
done50011264

prune464.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt y)
11.7b
(cbrt (* (* x y) (- 1.0 y)))
11.7b
(cbrt (* (* x y) (- 1.0 y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 associate-*r/ add-cbrt-cube log1p-expm1-u add-log-exp
2×flip3-- flip--
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt y)
28.0ms
(cbrt (* (* x y) (- 1.0 y)))
18.0ms
(cbrt (* (* x y) (- 1.0 y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt x)
280.0ms
(cbrt y)
198.0ms
(cbrt (* (* x y) (- 1.0 y)))
218.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.7s

Counts
64 → 64
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0130822
1293782
2925714
34568650
done5000650

prune314.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample749.0ms

Algorithm
intervals
Results
312.0ms10660×body80valid