Details

Time bar (total: 10.9s)

sample24.0ms

Algorithm
intervals
Results
9.0ms319×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4559
5659
6719
7889
81229
93059
1012339
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:
48.0ms
(* (- x 1.0) z)
11.0ms
(+ (* x y) (* (- x 1.0) z))

series90.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (- x 1.0) z)
49.0ms
(+ (* x y) (* (- x 1.0) z))

simplify567.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (158.0ms)

IterNodesCost
071405
1192373
2773345
done5001345

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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:
72.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
4.0ms
(cbrt (- x 1.0))
4.0ms
(cbrt (- x 1.0))
6.0ms
(cbrt (- x 1.0))

series612.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
155.0ms
(cbrt (- x 1.0))
132.0ms
(cbrt (- x 1.0))
154.0ms
(cbrt (- x 1.0))

simplify953.0ms

Counts
113 → 113
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
01671563
13971421
214081353
done50001305

prune607.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

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:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt z) (cbrt z))
299.0ms
(cbrt z)
299.0ms
(cbrt z)
329.0ms
(cbrt z)

simplify1.1s

Counts
85 → 85
Iterations

Useful iterations: done (1.1s)

IterNodesCost
061524
1139417
2735397
done5000383

prune374.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (cbrt (pow (* (- x 1.0) z) 3)))
0.1b
(pow (* (- x 1.0) z) 3)
37.8b
(cbrt (pow (* (- x 1.0) z) 3))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*l/ add-log-exp
5×associate-*l*
4×cube-div
3×pow-unpow flip3-- associate-*r* flip--
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 76
Calls
4 calls:
36.0ms
(* (- x 1.0) z)
11.0ms
(+ (* x y) (cbrt (pow (* (- x 1.0) z) 3)))
11.0ms
(pow (* (- x 1.0) z) 3)
5.0ms
(cbrt (pow (* (- x 1.0) z) 3))

series168.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (- x 1.0) z)
46.0ms
(+ (* x y) (cbrt (pow (* (- x 1.0) z) 3)))
45.0ms
(pow (* (- x 1.0) z) 3)
32.0ms
(cbrt (pow (* (- x 1.0) z) 3))

simplify1.8s

Counts
88 → 88
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
01301051
1382836
22205772
done5003772

prune342.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes214.0ms

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

sample1.2s

Algorithm
intervals
Results
457.0ms10018×body80valid