Details

Time bar (total: 27.3s)

sample76.0ms

Algorithm
intervals
Results
14.0ms339×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune46.0ms

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)

rewrite5.0ms

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:
3.0ms
(fma (* y z) z x)

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(fma (* y z) z x)

simplify8.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
019104
131102
29390
342990
4359090
done500090

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.7b
(cbrt (fma (* y z) z x))
0.7b
(cbrt (fma (* y z) z x))
0.7b
(cbrt (fma (* y z) z x))

rewrite17.0ms

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:
12.0ms
(* (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))
1.0ms
(cbrt (fma (* y z) z x))

series996.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
241.0ms
(cbrt (fma (* y z) z x))
228.0ms
(cbrt (fma (* y z) z x))
270.0ms
(cbrt (fma (* y z) z x))

simplify5.0s

Counts
93 → 93
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0991437
12401321
28161215
344721068
done50001068

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.7b
(cbrt (fma z (* y z) x))
0.7b
(cbrt (fma (* y z) z x))
0.7b
(cbrt (fma (* y z) z x))

rewrite26.0ms

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:
19.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
2.0ms
(cbrt (fma z (* y z) x))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))

series954.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
157.0ms
(cbrt (fma z (* y z) x))
278.0ms
(cbrt (fma (* y z) z x))
256.0ms
(cbrt (fma (* y z) z x))

simplify4.5s

Counts
93 → 93
Iterations

Useful iterations: done (4.5s)

IterNodesCost
01131421
12571306
28451201
341901054
done50001042

prune525.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma z (* y z) x))
0.7b
(cbrt (fma (* y z) z x))
0.7b
(cbrt (fma (* y z) z x))
0.9b
(pow (cbrt (cbrt (fma z (* y z) x))) 4)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt (fma z (* y z) x))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))
8.0ms
(pow (cbrt (cbrt (fma z (* y z) x))) 4)

series885.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (fma z (* y z) x))
289.0ms
(cbrt (fma (* y z) z x))
227.0ms
(cbrt (fma (* y z) z x))
216.0ms
(pow (cbrt (cbrt (fma z (* y z) x))) 4)

simplify2.9s

Counts
77 → 77
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01161027
1288972
2828897
33667863
done5000859

prune580.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.0b 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
056
166
done66

end0.0ms

sample1.1s

Algorithm
intervals
Results
496.0ms10571×body80valid