Details

Time bar (total: 18.6s)

sample106.0ms

Algorithm
intervals
Results
17.0ms347×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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)

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(fma (* y z) z x)

simplify3.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
019104
131102
26390
318090
458390
5266990
done500090

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite31.0ms

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

series1.1s

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
272.0ms
(cbrt (fma (* y z) z x))
272.0ms
(cbrt (fma (* y z) z x))
292.0ms
(cbrt (fma (* y z) z x))

simplify3.9s

Counts
93 → 93
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
0991437
12171321
25591215
315241068
444531027
done50001027

prune347.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.6b
(cbrt (cbrt (fma (* y z) z x)))
1.1b
(pow (cbrt (cbrt (fma (* y z) z x))) 5)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×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 → 71
Calls
4 calls:
1.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (cbrt (fma (* y z) z x)))
2.0ms
(cbrt (cbrt (fma (* y z) z x)))
11.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)

series1.2s

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt (fma (* y z) z x))
220.0ms
(cbrt (cbrt (fma (* y z) z x)))
229.0ms
(cbrt (cbrt (fma (* y z) z x)))
480.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)

simplify1.4s

Counts
83 → 83
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01211205
12751149
26341063
317541049
done50001005

prune397.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma (* y z) z x)))
1.1b
(pow (cbrt (cbrt (fma (* y z) z x))) 5)
1.1b
(pow (cbrt (cbrt (fma (* y z) z x))) 5)
1.1b
(pow (cbrt (cbrt (fma (* y z) z x))) 5)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
27×unpow-prod-down
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp sqr-pow
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (* y z) z x)))
5.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)
5.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)
5.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)

series1.4s

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (cbrt (fma (* y z) z x)))
415.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)
412.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)
394.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 5)

simplify3.1s

Counts
106 → 106
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01041690
12271578
25041506
313401499
440101439
done50001433

prune823.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample940.0ms

Algorithm
intervals
Results
419.0ms10672×body80valid