Details

Time bar (total: 13.6s)

sample73.0ms

Algorithm
intervals
Results
29.0ms424×body80valid

simplify148.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01515
12714
26212
311612
414212
514412
done14412

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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
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))))

series437.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(fma a b (fma x y (* z t)))
63.0ms
(fma x y (* z t))
296.0ms
(fma c i (fma a b (fma x y (* z t))))

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
047430
164420
2133366
3583366
44129366
done5000366

prune223.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down cube-prod
pow1 add-exp-log add-cbrt-cube
expm1-log1p-u log1p-expm1-u add-log-exp
pow-unpow
cube-mult unpow3 fma-udef sqr-pow
pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma a b (cbrt (pow (fma x y (* z t)) 3)))
0.0ms
(fma c i (fma a b (cbrt (pow (fma x y (* z t)) 3))))
4.0ms
(pow (fma x y (* z t)) 3)
4.0ms
(cbrt (pow (fma x y (* z t)) 3))

series650.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(fma a b (cbrt (pow (fma x y (* z t)) 3)))
309.0ms
(fma c i (fma a b (cbrt (pow (fma x y (* z t)) 3))))
186.0ms
(pow (fma x y (* z t)) 3)
63.0ms
(cbrt (pow (fma x y (* z t)) 3))

simplify3.0s

Counts
80 → 80
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01041167
1213933
2609829
33854819
done5000817

prune384.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (fma x y (* t z)) 2)
0.4b
(* (cbrt (pow (fma x y (* t z)) 2)) (cbrt (fma x y (* z t))))
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-*l*
10×unswap-sqr
pow1 add-exp-log
associate-*r*
unpow2 sqr-pow
expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
pow-unpow
pow-prod-down
pow-to-exp pow-pow pow-exp prod-exp *-commutative cbrt-unprod
Counts
4 → 92
Calls
4 calls:
3.0ms
(pow (fma x y (* t z)) 2)
18.0ms
(* (cbrt (pow (fma x y (* t z)) 2)) (cbrt (fma x y (* z t))))
1.0ms
(cbrt (fma x y (* z t)))
11.0ms
(cbrt (pow (fma x y (* t z)) 2))

series388.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(pow (fma x y (* t z)) 2)
43.0ms
(* (cbrt (pow (fma x y (* t z)) 2)) (cbrt (fma x y (* z t))))
124.0ms
(cbrt (fma x y (* z t)))
151.0ms
(cbrt (pow (fma x y (* t z)) 2))

simplify1.8s

Counts
104 → 104
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01671791
13771661
28721543
324271509
done50011431

prune623.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes347.0ms

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

sample2.9s

Algorithm
intervals
Results
1.1s13585×body80valid