Details

Time bar (total: 14.9s)

sample46.0ms

Algorithm
intervals
Results
15.0ms430×body80valid

simplify110.0ms

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

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (* z t))
0.0b
(fma a b (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 x y (* z t))
1.0ms
(fma a b (fma x y (* z t)))
1.0ms
(fma c i (fma a b (fma x y (* z t))))

series466.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma x y (* z t))
87.0ms
(fma a b (fma x y (* z t)))
323.0ms
(fma c i (fma a b (fma x y (* z t))))

simplify2.2s

Counts
39 → 39
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
047430
164420
2133366
3583366
44129366
done5000366

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

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

series446.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(fma a b (* x y))
93.0ms
(fma t z (fma a b (* x y)))
296.0ms
(fma c i (fma t z (fma a b (* x y))))

simplify757.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
045430
158420
2149366
3825366
done5001366

prune153.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

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

series646.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt (fma c i (fma t z (fma a b (* x y))))) (cbrt (fma c i (fma t z (fma a b (* x y))))))
133.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
135.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
163.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0952278
12052123
25011929
312501640
439461598
done50001598

prune440.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×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 → 52
Calls
4 calls:
1.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
1.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
1.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
1.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
172.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
149.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
156.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))

simplify3.7s

Counts
64 → 64
Iterations

Useful iterations: 6 (2.7s)

IterNodesCost
0491140
1981128
21901020
34511000
4891972
51940948
64666940
done5000940

prune332.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes388.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11312
done1312

end0.0ms

sample1.7s

Algorithm
intervals
Results
621.0ms13686×body80valid