Details

Time bar (total: 19.2s)

sample97.0ms

Algorithm
intervals
Results
13.0ms348×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2127
done127

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
7.0ms
(+ x (* (* y z) z))
21.0ms
(* (* y z) z)

series107.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ x (* (* y z) z))
40.0ms
(* (* y z) z)

simplify6.5s

Counts
35 → 35
Iterations

Useful iterations: 4 (3.9s)

IterNodesCost
058317
1158295
2570259
31571257
44333256
done5000256

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (pow (* (pow z 2) y) 1))
12.6b
(* (pow z 2) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*l*
add-exp-log *-un-lft-identity
add-cube-cbrt
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*r* prod-exp
pow1 unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
2 → 39
Calls
2 calls:
8.0ms
(+ x (pow (* (pow z 2) y) 1))
15.0ms
(* (pow z 2) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ x (pow (* (pow z 2) y) 1))
36.0ms
(* (pow z 2) y)

simplify2.8s

Counts
45 → 45
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
073434
1167360
2510319
31977319
done5001319

prune190.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.9b
(* (pow (* (cbrt z) (cbrt z)) 2) (* (pow (cbrt z) 2) y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
32×prod-exp
12×pow-exp
cbrt-prod add-cbrt-cube
add-sqr-sqrt pow-to-exp add-cube-cbrt *-un-lft-identity
associate-*l*
pow1 add-log-exp
pow1/3 cbrt-unprod
unpow-prod-down associate-*r* *-commutative unpow2 sqr-pow
Counts
4 → 66
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
62.0ms
(* (pow (* (cbrt z) (cbrt z)) 2) (* (pow (cbrt z) 2) y))

series898.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt z)
268.0ms
(cbrt z)
284.0ms
(cbrt z)
75.0ms
(* (pow (* (cbrt z) (cbrt z)) 2) (* (pow (cbrt z) 2) y))

simplify3.2s

Counts
78 → 78
Iterations

Useful iterations: 3 (986.0ms)

IterNodesCost
080815
1179619
2518443
32610374
done5000374

prune332.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
26.7b
(cbrt (pow z 2))
26.7b
(cbrt (pow z 2))
26.7b
(cbrt (pow z 2))

rewrite106.0ms

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
unpow-prod-down
pow-prod-down prod-exp cbrt-unprod
add-log-exp
pow1/3 unpow2 sqr-pow
associate-*r* associate-*l* *-commutative
Counts
4 → 70
Calls
4 calls:
97.0ms
(* (* (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))

series913.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
305.0ms
(cbrt (pow z 2))
252.0ms
(cbrt (pow z 2))
325.0ms
(cbrt (pow z 2))

simplify2.4s

Counts
82 → 82
Iterations

Useful iterations: 3 (762.0ms)

IterNodesCost
071907
1165854
2529547
31430460
done5000460

prune250.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample825.0ms

Algorithm
intervals
Results
331.0ms10538×body80valid