Details

Time bar (total: 25.7s)

sample124.0ms

Algorithm
intervals
Results
18.0ms346×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
067
1117
2127
done127

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
13.0ms
(+ x (* (* y z) z))
32.0ms
(* (* y z) z)

series163.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ x (* (* y z) z))
61.0ms
(* (* y z) z)

simplify1.0s

Counts
35 → 35
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
058317
1164295
2973259
done5001259

prune128.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)

rewrite33.0ms

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:
24.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.5s

Counts
4 → 12
Calls
4 calls:
394.0ms
(* (cbrt z) (cbrt z))
366.0ms
(cbrt z)
365.0ms
(cbrt z)
394.0ms
(cbrt z)

simplify1.9s

Counts
85 → 85
Iterations

Useful iterations: done (1.9s)

IterNodesCost
061524
1139417
2735397
done5000383

prune388.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (pow z 2) y) x)
8.6b
(* (pow z 2) y)

rewrite66.0ms

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:
18.0ms
(+ (* (pow z 2) y) x)
46.0ms
(* (pow z 2) y)

series89.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* (pow z 2) y) x)
34.0ms
(* (pow z 2) y)

simplify9.1s

Counts
44 → 44
Iterations

Useful iterations: 2 (126.0ms)

IterNodesCost
069389
1166353
2568312
34370312
done5001312

prune582.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (* z z)) (* y z)) (cbrt z))
0.3b
(* (cbrt (* z z)) (* y z))
0.6b
(cbrt z)
20.2b
(cbrt (* z z))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
11×add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
5×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative
Counts
4 → 63
Calls
4 calls:
163.0ms
(* (* (cbrt (* z z)) (* y z)) (cbrt z))
68.0ms
(* (cbrt (* z z)) (* y z))
2.0ms
(cbrt z)
7.0ms
(cbrt (* z z))

series2.1s

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (* (cbrt (* z z)) (* y z)) (cbrt z))
278.0ms
(* (cbrt (* z z)) (* y z))
433.0ms
(cbrt z)
1.1s
(cbrt (* z z))

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0101711
1266681
21402589
done5000575

prune523.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.4s10689×body80valid