Details

Time bar (total: 14.4s)

sample21.0ms

Algorithm
intervals
Results
8.0ms324×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2177
3317
4507
5667
6757
7937
82327
96217
1027127
done50007

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)

rewrite35.0ms

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))
27.0ms
(* (- y x) z)

series72.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (- y x) z))
37.0ms
(* (- y x) z)

simplify557.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
068357
1168337
2651303
done5000303

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

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:
69.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
6.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))

series808.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
193.0ms
(cbrt (- y x))
215.0ms
(cbrt (- y x))
191.0ms
(cbrt (- y x))

simplify1.0s

Counts
113 → 113
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01311384
12861281
29361223
done50001177

prune390.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.5s

Counts
4 → 12
Calls
4 calls:
322.0ms
(* (cbrt z) (cbrt z))
256.0ms
(cbrt z)
263.0ms
(cbrt z)
682.0ms
(cbrt z)

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
061524
1139417
2735397
done5000383

prune336.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt z)
350.0ms
(cbrt z)
297.0ms
(cbrt z)
282.0ms
(cbrt z)

simplify2.9s

Counts
56 → 56
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
024260
145244
2116220
3342208
4935208
53497208
done5001208

prune270.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample932.0ms

Algorithm
intervals
Results
437.0ms9995×body80valid