Details

Time bar (total: 7.4s)

sample112.0ms

Algorithm
intervals
Results
67.0ms443×body80valid

simplify201.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
01515
12714
26212
311612
414212
514412
done14412

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

series502.0ms

Counts
3 → 9
Calls
3 calls:
325.0ms
(fma c i (fma a b (fma x y (* z t))))
110.0ms
(fma a b (fma x y (* z t)))
66.0ms
(fma x y (* z t))

simplify2.9s

Counts
39 → 39
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
047430
164420
2134366
3584366
44140366
done5000366

prune224.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(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
2×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
2 → 20
Calls
2 calls:
1.0ms
(fma a b (* x y))
1.0ms
(fma c i (fma t z (fma a b (* x y))))

series423.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(fma a b (* x y))
343.0ms
(fma c i (fma t z (fma a b (* x y))))

simplify2.7s

Counts
26 → 26
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
036284
147278
2105242
3471242
43393242
done5000242

prune138.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
1.8b
(cbrt (fma x y (* z t)))
1.8b
(cbrt (fma x y (* z t)))
1.8b
(cbrt (fma x y (* z t)))

rewrite32.0ms

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:
23.0ms
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
2.0ms
(cbrt (fma x y (* z t)))
2.0ms
(cbrt (fma x y (* z t)))
2.0ms
(cbrt (fma x y (* z t)))

series15.0ms