Details

Time bar (total: 6.1s)

sample48.0ms

Algorithm
intervals
Results
17.0ms473×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0276
1624
21214
31584
41644
51644
done1644

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

series346.0ms

Counts
3 → 9
Calls
3 calls:
238.0ms
(fma i c (fma b a (fma x y (* z t))))
66.0ms
(fma b a (fma x y (* z t)))
43.0ms
(fma x y (* z t))

simplify99.0ms

Counts
39 → 39
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
064163
1149142
2636142
34252142
45001142
done5001142

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
0.7b
(cbrt (fma b a (fma x y (* z t))))
0.7b
(cbrt (fma b a (fma x y (* z t))))
0.7b
(cbrt (fma b a (fma x y (* z t))))

rewrite15.0ms

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

series628.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
134.0ms
(cbrt (fma b a (fma x y (* z t))))
134.0ms
(cbrt (fma b a (fma x y (* z t))))
137.0ms
(cbrt (fma b a (fma x y (* z t))))

simplify82.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0236812
1800745
23224654
35002642
done5002642

prune343.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma b a (fma x y (* z t))))
0.7b
(cbrt (fma b a (fma x y (* z t))))
0.7b
(cbrt (fma b a (fma x y (* z t))))
0.7b
(cbrt (fma b a (fma x y (* z t))))

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

series544.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (fma b a (fma x y (* z t))))
139.0ms
(cbrt (fma b a (fma x y (* z t))))
136.0ms
(cbrt (fma b a (fma x y (* z t))))
133.0ms
(cbrt (fma b a (fma x y (* z t))))

simplify93.0ms

Counts
64 → 64
Iterations

Useful iterations: 4 (29.0ms)

IterNodesCost
093436
1181400
2427368
3993364
42997352
55001352
done5001352

prune301.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (fma b a (fma x y (* z t))))
0.3b
(sqrt (fma b a (fma x y (* z t))))
0.3b
(sqrt (fma b a (fma x y (* z t))))
0.7b
(cbrt (fma b a (fma x y (* z t))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-cube-cbrt *-un-lft-identity
7×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2
1×pow1/3
Counts
4 → 58
Calls
4 calls:
1.0ms
(sqrt (fma b a (fma x y (* z t))))
1.0ms
(sqrt (fma b a (fma x y (* z t))))
1.0ms
(sqrt (fma b a (fma x y (* z t))))
1.0ms
(cbrt (fma b a (fma x y (* z t))))

series1.4s

Counts
4 → 12
Calls
4 calls:
415.0ms
(sqrt (fma b a (fma x y (* z t))))
404.0ms
(sqrt (fma b a (fma x y (* z t))))
407.0ms
(sqrt (fma b a (fma x y (* z t))))
133.0ms
(cbrt (fma b a (fma x y (* z t))))

simplify108.0ms

Counts
70 → 70
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0194484
1633448
23544434
35003424
done5003424

prune324.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes289.0ms

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
0134
1134
done134

end0.0ms

sample1.2s

Algorithm
intervals
Results
471.0ms13654×body80valid