Details

Time bar (total: 23.0s)

sample87.0ms

Algorithm
intervals
Results
13.0ms339×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (* y z) z x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
2.0ms
(fma (* y z) z x)

series162.0ms

Counts
1 → 3
Calls
1 calls:
162.0ms
(fma (* y z) z x)

simplify9.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
019104
131102
29390
342990
4359090
done500090

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))

rewrite29.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
22.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
1.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))

series974.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
266.0ms
(cbrt (fma (* y z) z x))
222.0ms
(cbrt (fma (* y z) z x))
234.0ms
(cbrt (fma (* y z) z x))

simplify5.7s

Counts
93 → 93
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0991437
12401321
28161215
344721068
done50001068

prune466.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))

series1.4s

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (fma (* y z) z x))
649.0ms
(cbrt (fma (* y z) z x))
257.0ms
(cbrt (fma (* y z) z x))
271.0ms
(cbrt (fma (* y z) z x))

simplify704.0ms

Counts
64 → 64
Iterations

Useful iterations: done (702.0ms)

IterNodesCost
051780
1111752
2280692
31011672
done5000640

prune425.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (fma (* y z) z x))

series1.0s

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (fma (* y z) z x))
243.0ms
(cbrt (fma (* y z) z x))
228.0ms
(cbrt (fma (* y z) z x))
294.0ms
(cbrt (fma (* y z) z x))

simplify712.0ms

Counts
64 → 64
Iterations

Useful iterations: done (710.0ms)

IterNodesCost
051780
1111752
2280692
31011672
done5000640

prune476.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample983.0ms

Algorithm
intervals
Results
437.0ms10686×body80valid