Details

Time bar (total: 15.4s)

sample46.0ms

Algorithm
intervals
Results
18.0ms366×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1147
2247
3477
4657
done657

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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:
1.0ms
(fma (fma x y z) y t)

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(fma (fma x y z) y t)

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
023129
140124
285106
3271106
41475106
done5002106

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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

series981.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
261.0ms
(cbrt (fma (fma x y z) y t))
226.0ms
(cbrt (fma (fma x y z) y t))
226.0ms
(cbrt (fma (fma x y z) y t))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01071641
12451509
26701368
318711177
done50011142

prune491.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 61
Calls
4 calls:
2.0ms
(cbrt (fma (fma x y z) y t))
3.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
3.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
3.0ms
(cbrt (cbrt (fma (fma x y z) y t)))

series927.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (fma (fma x y z) y t))
233.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
215.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
253.0ms
(cbrt (cbrt (fma (fma x y z) y t)))

simplify4.1s

Counts
73 → 73
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
0861145
11971112
24991007
31454974
44478910
done5000910

prune414.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (fma x y z) y t))
0.5b
(cbrt (fma (fma x y z) y t))
0.6b
(cbrt (cbrt (fma (fma x y z) y t)))
0.8b
(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
12×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 → 68
Calls
4 calls:
2.0ms
(cbrt (fma (fma x y z) y t))
2.0ms
(cbrt (fma (fma x y z) y t))
3.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
10.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

series1.2s

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt (fma (fma x y z) y t))
194.0ms
(cbrt (fma (fma x y z) y t))
183.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
497.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) 4)

simplify2.2s

Counts
80 → 80
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01321285
13131183
27811084
322971028
done5000978

prune392.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

0% (0.0b 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
067
done67

end0.0ms

sample1.2s

Algorithm
intervals
Results
575.0ms11320×body80valid