Details

Time bar (total: 15.1s)

sample110.0ms

Algorithm
intervals
Results
43.0ms424×body80valid

simplify161.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
01515
12714
26212
311612
414212
514412
done14412

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))))

series583.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(fma a b (fma x y (* z t)))
86.0ms
(fma x y (* z t))
386.0ms
(fma c i (fma a b (fma x y (* z t))))

simplify2.8s

Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
047430
164420
2133366
3583366
44129366
done5000366

prune178.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a b (cbrt (pow (fma x y (* z t)) 3)))
0.0b
(fma c i (fma a b (cbrt (pow (fma x y (* z t)) 3))))
0.3b
(pow (fma x y (* z t)) 3)
35.3b
(cbrt (pow (fma x y (* z t)) 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 fma-udef sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
1.0ms
(fma a b (cbrt (pow (fma x y (* z t)) 3)))
1.0ms
(fma c i (fma a b (cbrt (pow (fma x y (* z t)) 3))))
6.0ms
(pow (fma x y (* z t)) 3)
5.0ms
(cbrt (pow (fma x y (* z t)) 3))

series807.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(fma a b (cbrt (pow (fma x y (* z t)) 3)))
370.0ms
(fma c i (fma a b (cbrt (pow (fma x y (* z t)) 3))))
245.0ms
(pow (fma x y (* z t)) 3)
86.0ms
(cbrt (pow (fma x y (* z t)) 3))

simplify3.9s

Counts
80 → 80
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01041167
1213933
2609829
33854819
done5000817

prune334.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (fma x y (* t z)) 2)
0.4b
(* (cbrt (fma x y (* z t))) (cbrt (pow (fma x y (* t z)) 2)))
2.4b
(cbrt (fma x y (* z t)))
25.9b
(cbrt (pow (fma x y (* t z)) 2))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
30×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×unpow-prod-down associate-*r*
10×unswap-sqr
7×pow1 add-exp-log
6×associate-*l*
5×unpow2 sqr-pow
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-prod-down
1×pow-to-exp pow-pow pow-exp prod-exp *-commutative cbrt-unprod
Counts
4 → 92
Calls
4 calls:
11.0ms
(pow (fma x y (* t z)) 2)
17.0ms
(* (cbrt (fma x y (* z t))) (cbrt (pow (fma x y (* t z)) 2)))
1.0ms
(cbrt (fma x y (* z t)))
2.0ms
(cbrt (pow (fma x y (* t z)) 2))

series527.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(pow (fma x y (* t z)) 2)
79.0ms
(* (cbrt (fma x y (* z t))) (cbrt (pow (fma x y (* t z)) 2)))
169.0ms
(cbrt (fma x y (* z t)))
175.0ms
(cbrt (pow (fma x y (* t z)) 2))

simplify2.0s

Counts
104 → 104
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01681794
13781659
28891539
324611505
done50001427

prune648.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes379.0ms

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

sample2.6s

Algorithm
intervals
Results
1.4s13585×body80valid