Details

Time bar (total: 18.3s)

sample78.0ms

Algorithm
intervals
Results
27.0ms430×body80valid

simplify141.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
01515
12714
26212
311612
414212
514412
done14412

prune9.0ms

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

rewrite3.0ms

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:
1.0ms
(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))))

series515.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(fma x y (* z t))
123.0ms
(fma a b (fma x y (* z t)))
325.0ms
(fma c i (fma a b (fma x y (* z t))))

simplify2.9s

Counts
39 → 39
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
047430
164420
2133366
3583366
44129366
done5000366

prune169.0ms

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))))

series500.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(fma a b (* x y))
115.0ms
(fma t z (fma a b (* x y)))
313.0ms
(fma c i (fma t z (fma a b (* x y))))

simplify794.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
045430
158420
2149366
3825366
done5001366

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)))))

rewrite35.0ms

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:
26.0ms
(* (cbrt (fma c i (fma t z (fma a b (* x y))))) (cbrt (fma c i (fma t z (fma a b (* x y))))))
2.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
2.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
2.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))

series848.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (cbrt (fma c i (fma t z (fma a b (* x y))))) (cbrt (fma c i (fma t z (fma a b (* x y))))))
207.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
158.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
210.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))

simplify3.0s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
0952278
12052123
25011929
312501640
439461598
done50001598

prune571.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

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)))))

rewrite9.0ms

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:
2.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
2.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
2.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
2.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
194.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
203.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))
195.0ms
(cbrt (fma c i (fma t z (fma a b (* x y)))))

simplify4.7s

Counts
64 → 64
Iterations

Useful iterations: 6 (3.4s)

IterNodesCost
0491140
1981128
21901020
34511000
4891972
51940948
64666940
done5000940

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes428.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11312
done1312

end0.0ms

sample2.1s

Algorithm
intervals
Results
758.0ms13686×body80valid