Details

Time bar (total: 9.5s)

sample36.0ms

Algorithm
intervals
Results
16.0ms324×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4539
5649
6759
7969
81369
93779
1017489
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite42.0ms

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:
18.0ms
(+ (* x y) (* (- 1.0 x) z))
22.0ms
(* (- 1.0 x) z)

series108.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* x y) (* (- 1.0 x) z))
60.0ms
(* (- 1.0 x) z)

simplify681.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
071405
1190379
2769345
done5001345

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))

rewrite127.0ms

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:
92.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
8.0ms
(cbrt (- 1.0 x))
8.0ms
(cbrt (- 1.0 x))
10.0ms
(cbrt (- 1.0 x))

series540.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
128.0ms
(cbrt (- 1.0 x))
139.0ms
(cbrt (- 1.0 x))
133.0ms
(cbrt (- 1.0 x))

simplify780.0ms

Counts
113 → 113
Iterations

Useful iterations: done (777.0ms)

IterNodesCost
01481569
13421431
211561360
done50001320

prune414.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
4.0ms
(cbrt (- 1.0 x))
10.0ms
(cbrt (- 1.0 x))
4.0ms
(cbrt (- 1.0 x))
5.0ms
(cbrt (- 1.0 x))

series543.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (- 1.0 x))
121.0ms
(cbrt (- 1.0 x))
144.0ms
(cbrt (- 1.0 x))
149.0ms
(cbrt (- 1.0 x))

simplify1.1s

Counts
72 → 72
Iterations

Useful iterations: done (1.1s)

IterNodesCost
083932
1186880
2518832
31963796
done5000756

prune398.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize25.0ms

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)

rewrite21.0ms

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:
14.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series946.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt z) (cbrt z))
218.0ms
(cbrt z)
238.0ms
(cbrt z)
264.0ms
(cbrt z)

simplify941.0ms

Counts
85 → 85
Iterations

Useful iterations: done (938.0ms)

IterNodesCost
061524
1139417
2735397
done5000383

prune246.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes119.0ms

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
089
1119
done119

end0.0ms

sample914.0ms

Algorithm
intervals
Results
484.0ms10145×body80valid