Details

Time bar (total: 12.4s)

sample17.0ms

Algorithm
intervals
Results
6.0ms332×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2127
done127

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ x (* (* y z) z))
17.0ms
(* (* y z) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ x (* (* y z) z))
29.0ms
(* (* y z) z)

simplify4.2s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
058317
1158295
2570259
31571257
44333256
done5000256

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (pow z 2) y) x)
8.7b
(* (pow z 2) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
8.0ms
(+ (* (pow z 2) y) x)
14.0ms
(* (pow z 2) y)

series50.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* (pow z 2) y) x)
19.0ms
(* (pow z 2) y)

simplify1.3s

Counts
44 → 44
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
069389
1164353
2456312
31509312
done5000312

prune87.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
25.0b
(cbrt (pow z 2))
25.0b
(cbrt (pow z 2))
25.0b
(cbrt (pow z 2))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
16×pow1 add-exp-log
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×unpow-prod-down
8×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 unpow2 sqr-pow
1×associate-*r* associate-*l* *-commutative
Counts
4 → 70
Calls
4 calls:
56.0ms
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))

series555.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
178.0ms
(cbrt (pow z 2))
182.0ms
(cbrt (pow z 2))
175.0ms
(cbrt (pow z 2))

simplify1.8s

Counts
82 → 82
Iterations

Useful iterations: 3 (561.0ms)

IterNodesCost
071907
1165854
2529547
31430460
done5000460

prune173.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (pow z 2)) y)
25.0b
(cbrt (pow z 2))
25.0b
(cbrt (pow z 2))
25.0b
(cbrt (pow z 2))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×unpow-prod-down
11×associate-*l*
6×pow1 add-exp-log
5×add-cbrt-cube unpow2 unswap-sqr sqr-pow
4×add-log-exp
3×pow1/3 associate-*r*
1×pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 78
Calls
4 calls:
17.0ms
(* (cbrt (pow z 2)) y)
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))
2.0ms
(cbrt (pow z 2))

series763.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (cbrt (pow z 2)) y)
318.0ms
(cbrt (pow z 2))
179.0ms
(cbrt (pow z 2))
178.0ms
(cbrt (pow z 2))

simplify2.3s

Counts
90 → 90
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
073708
1138669
2324546
3923533
43326530
done5001530

prune216.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes129.0ms

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
197
done97

end0.0ms

sample458.0ms

Algorithm
intervals
Results
191.0ms10572×body80valid