Details

Time bar (total: 16.0s)

sample103.0ms

Algorithm
intervals
Results
13.0ms340×body80valid

simplify78.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
4.0ms
(fma (* y z) z x)

series88.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(fma (* y z) z x)

simplify3.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
019104
131102
26390
318090
458390
5266990
done500090

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite24.0ms

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:
16.0ms
(* (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))

series1.0s

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
263.0ms
(cbrt (fma (* y z) z x))
248.0ms
(cbrt (fma (* y z) z x))
220.0ms
(cbrt (fma (* y z) z x))

simplify3.7s

Counts
93 → 93
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
0991437
12171321
25591215
315241068
444531027
done50001027

prune409.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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

rewrite17.0ms

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 (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))
10.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt (fma (* y z) z x))
256.0ms
(cbrt (fma (* y z) z x))
258.0ms
(cbrt (fma (* y z) z x))
410.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

simplify1.3s

Counts
77 → 77
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01091059
1247974
2547910
31501892
done5000845

prune398.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

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))
0.9b
(pow (cbrt (* (pow (cbrt (cbrt (fma (* y z) z x))) 2) (cbrt (cbrt (fma (* y z) z x))))) 4)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u unpow-prod-down 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 → 60
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))
11.0ms
(pow (cbrt (* (pow (cbrt (cbrt (fma (* y z) z x))) 2) (cbrt (cbrt (fma (* y z) z x))))) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (fma (* y z) z x))
304.0ms
(cbrt (fma (* y z) z x))
267.0ms
(cbrt (fma (* y z) z x))
363.0ms
(pow (cbrt (* (pow (cbrt (cbrt (fma (* y z) z x))) 2) (cbrt (cbrt (fma (* y z) z x))))) 4)

simplify1.4s

Counts
72 → 72
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01051249
1241950
2534814
31446781
done5000743

prune406.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes113.0ms

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

sample744.0ms

Algorithm
intervals
Results
298.0ms10716×body80valid