Details

Time bar (total: 18.9s)

sample112.0ms

Algorithm
intervals
Results
46.0ms433×body80valid

simplify223.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
01515
12714
26212
311612
414212
514412
done14412

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

series520.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(fma a b (fma x y (* z t)))
60.0ms
(fma x y (* z t))
370.0ms
(fma c i (fma a b (fma x y (* z t))))

simplify3.0s

Counts
39 → 39
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
047430
164420
2133366
3583366
44129366
done5000366

prune202.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×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
2 → 20
Calls
2 calls:
0.0ms
(fma t z (fma a b (* x y)))
0.0ms
(fma c i (fma t z (fma a b (* x y))))

series515.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(fma t z (fma a b (* x y)))
431.0ms
(fma c i (fma t z (fma a b (* x y))))

simplify737.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
036328
147320
2119278
3694278
done5000278

prune97.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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

series986.0ms

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
219.0ms
(cbrt (fma a b (fma x y (* z t))))
208.0ms
(cbrt (fma a b (fma x y (* z t))))
221.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify4.1s

Counts
93 → 93
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
01041858
12341726
25931573
315381344
443251303
done50001303

prune497.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×sqrt-prod
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:
4.0ms
(cbrt (sqrt (fma a b (fma x y (* z t)))))
3.0ms
(cbrt (sqrt (fma a b (fma x y (* z t)))))
3.0ms
(cbrt (sqrt (fma a b (fma x y (* z t)))))
3.0ms
(cbrt (fma a b (fma x y (* z t))))

series833.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (sqrt (fma a b (fma x y (* z t)))))
207.0ms
(cbrt (sqrt (fma a b (fma x y (* z t)))))
212.0ms
(cbrt (sqrt (fma a b (fma x y (* z t)))))
222.0ms
(cbrt (fma a b (fma x y (* z t))))

simplify3.1s

Counts
73 → 73
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0711197
11461146
22821056
36231036
412641011
53625987
done5000985

prune461.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes497.0ms

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

sample2.9s

Algorithm
intervals
Results
1.4s13608×body80valid