Details

Time bar (total: 4.8s)

sample43.0ms

Algorithm
intervals
Results
14.0ms430×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0276
1624
21214
31584
41644
51644
done1644

prune8.0ms

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

series346.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma x y (* z t))
69.0ms
(fma b a (fma x y (* z t)))
236.0ms
(fma i c (fma b a (fma x y (* z t))))

simplify99.0ms

Counts
39 → 39
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
064163
1149142
2636142
34252142
45001142
done5001142

prune147.0ms

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

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

series368.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma a b (* x y))
73.0ms
(fma t z (fma a b (* x y)))
254.0ms
(fma i c (fma t z (fma a b (* x y))))

simplify28.0ms

Counts
39 → 39
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
059163
1165142
2843142
35002142
done5002142

prune127.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (fma i c (fma t z (fma a b (* x y))))) (cbrt (fma i c (fma t z (fma a b (* x y))))))
1.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
1.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
1.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (cbrt (fma i c (fma t z (fma a b (* x y))))) (cbrt (fma i c (fma t z (fma a b (* x y))))))
126.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
126.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
129.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))

simplify92.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0206936
1666857
22526759
35002749
done5002749

prune334.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
1.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
1.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
5.0ms
(cbrt (* (cbrt (fma i c (fma t z (fma a b (* x y))))) (cbrt (fma i c (fma t z (fma a b (* x y)))))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
129.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
131.0ms
(cbrt (fma i c (fma t z (fma a b (* x y)))))
181.0ms
(cbrt (* (cbrt (fma i c (fma t z (fma a b (* x y))))) (cbrt (fma i c (fma t z (fma a b (* x y)))))))

simplify80.0ms

Counts
62 → 62
Iterations

Useful iterations: 4 (73.0ms)

IterNodesCost
0167571
1373513
2969478
32772475
45002466
done5002466

prune288.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes298.0ms

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

sample1.3s

Algorithm
intervals
Results
480.0ms13686×body80valid