Details

Time bar (total: 14.6s)

sample89.0ms

Algorithm
intervals
Results
35.0ms431×body80valid

simplify169.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01515
12714
26212
311612
414212
514412
done14412

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite2.0ms

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

series453.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma x y (* z t))
291.0ms
(fma c i (fma a b (fma x y (* z t))))
112.0ms
(fma a b (fma x y (* z t)))

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
047430
164420
2133366
3583366
44143366
done5000366

prune174.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))))

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:
17.0ms
(* (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))))

series843.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
183.0ms
(cbrt (fma a b (fma x y (* z t))))
197.0ms
(cbrt (fma a b (fma x y (* z t))))
209.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify3.3s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
01041858
12341726
25931573
315381344
443251303
done50001303

prune496.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

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))))

rewrite50.0ms

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:
24.0ms
(* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t))))))
17.0ms
(* (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))))

series844.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (cbrt (sqrt (fma a b (fma x y (* z t))))) (cbrt (sqrt (fma a b (fma x y (* z t))))))
291.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
189.0ms
(cbrt (fma a b (fma x y (* z t))))
189.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify1.8s

Counts
138 → 138
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01453493
13003173
27952950
319752493
done50012331

prune696.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes323.0ms

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

sample2.8s

Algorithm
intervals
Results
1.4s13756×body80valid