Details

Time bar (total: 13.8s)

sample74.0ms

Algorithm
intervals
Results
33.0ms431×body80valid

simplify136.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01515
12714
26212
311612
414212
514412
done14412

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (* z t))
0.0b
(fma c i (fma a b (fma x y (* z t))))
0.0b
(fma a b (fma x y (* z t)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
0.0ms
(fma x y (* z t))
0.0ms
(fma c i (fma a b (fma x y (* z t))))
0.0ms
(fma a b (fma x y (* z t)))

series373.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma x y (* z t))
260.0ms
(fma c i (fma a b (fma x y (* z t))))
71.0ms
(fma a b (fma x y (* z t)))

simplify2.2s

Counts
39 → 39
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
047430
164420
2133366
3583366
44143366
done5000366

prune162.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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:
11.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
178.0ms
(cbrt (fma a b (fma x y (* z t))))
163.0ms
(cbrt (fma a b (fma x y (* z t))))
164.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify2.7s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01041858
12341726
25931573
315381344
443251303
done50001303

prune503.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t))))))
0.5b
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
0.6b
(cbrt (fma a b (fma x y (* z t))))
0.6b
(cbrt (fma a b (fma x y (* z t))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-prod
56×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
20×sqrt-prod
18×pow1
17×swap-sqr
15×associate-*r* associate-*l*
14×pow1/3
13×unswap-sqr
8×add-exp-log
4×expm1-log1p-u pow-prod-down pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
27.0ms
(* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t))))))
11.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))
1.0ms
(cbrt (fma a b (fma x y (* z t))))

series906.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t))))))
311.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
195.0ms
(cbrt (fma a b (fma x y (* z t))))
199.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify2.3s

Counts
138 → 138
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01453493
13003173
27952950
319752493
done50012331

prune732.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes353.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11312
done1312

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s13756×body80valid