Details

Time bar (total: 8.9s)

sample70.0ms

Algorithm
intervals
Results
27.0ms416×body80valid

simplify118.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01515
12714
26212
311912
415612
515812
done15812

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma a b (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
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 (fma x y (* z t)))
1.0ms
(fma c i (fma a b (fma x y (* z t))))

series467.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(fma a b (fma x y (* z t)))
365.0ms
(fma c i (fma a b (fma x y (* z t))))

simplify926.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
037328
151320
2112278
3765278
done5000278

prune177.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma c i (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
0.1b
(sqrt (fma a b (fma x y (* z t))))
0.1b
(sqrt (fma a b (fma x y (* z t))))
0.3b
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma c i (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
3.0ms
(sqrt (fma a b (fma x y (* z t))))
3.0ms
(sqrt (fma a b (fma x y (* z t))))
28.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
312.0ms
(fma c i (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
599.0ms
(sqrt (fma a b (fma x y (* z t))))
541.0ms
(sqrt (fma a b (fma x y (* z t))))
107.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))

simplify611.0ms

Counts
103 → 103
Iterations

Useful iterations: done (606.0ms)

IterNodesCost
01072220
12261460
28791318
done50001275

prune789.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes789.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11312
done1312

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s13787×body80valid