Details

Time bar (total: 34.4s)

sample689.0ms

Algorithm
intervals
Results
73.0ms346×body80valid

simplify212.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
067
1117
2127
done127

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize130.0ms

Local error

Found 2 expressions with local error:

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

rewrite589.0ms

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:
45.0ms
(+ x (* (* y z) z))
495.0ms
(* (* y z) z)

series616.0ms

Counts
2 → 6
Calls
2 calls:
342.0ms
(+ x (* (* y z) z))
274.0ms
(* (* y z) z)

simplify2.6s

Counts
35 → 35
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
058317
1164295
2973259
done5001259

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
31.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series3.5s

Counts
4 → 12
Calls
4 calls:
811.0ms
(* (cbrt z) (cbrt z))
923.0ms
(cbrt z)
1.2s
(cbrt z)
495.0ms
(cbrt z)

simplify5.2s

Counts
85 → 85
Iterations

Useful iterations: done (5.1s)

IterNodesCost
061524
1139417
2735397
done5000383

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (* z z)))
8.6b
(* y (* z z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
16.0ms
(+ x (* y (* z z)))
30.0ms
(* y (* z z))

series284.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(+ x (* y (* z z)))
88.0ms
(* y (* z z))

simplify2.3s

Counts
36 → 36
Iterations

Useful iterations: 2 (749.0ms)

IterNodesCost
056322
1156302
2725264
done5001264

prune217.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (pow (cbrt -1) 2) (cbrt (* z z))) (* y z)) (cbrt z))
0.3b
(* (* (pow (cbrt -1) 2) (cbrt (* z z))) (* y z))
0.6b
(cbrt z)
20.2b
(cbrt (* z z))

rewrite726.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
45×prod-exp
25×add-cbrt-cube
21×cbrt-unprod
18×pow1
pow-prod-down
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
pow-to-exp pow-exp add-log-exp
pow1/3 associate-*l* *-commutative
Counts
4 → 76
Calls
4 calls:
302.0ms
(* (* (* (pow (cbrt -1) 2) (cbrt (* z z))) (* y z)) (cbrt z))
379.0ms
(* (* (pow (cbrt -1) 2) (cbrt (* z z))) (* y z))
2.0ms
(cbrt z)
38.0ms
(cbrt (* z z))

series1.8s

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (* (* (pow (cbrt -1) 2) (cbrt (* z z))) (* y z)) (cbrt z))
333.0ms
(* (* (pow (cbrt -1) 2) (cbrt (* z z))) (* y z))
742.0ms
(cbrt z)
615.0ms
(cbrt (* z z))

simplify5.0s

Counts
88 → 88
Iterations

Useful iterations: done (5.0s)

IterNodesCost
01241357
13471242
220351046
done50001016

prune1.3s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes438.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end2.0ms

sample6.9s

Algorithm
intervals
Results
4.4s10689×body80valid