Details

Time bar (total: 13.8s)

sample77.0ms

Algorithm
intervals
Results
31.0ms427×body80valid

simplify140.0ms

Counts
1 → 1
Iterations
IterNodes
done156
5156
4154
3118
262
127
015

prune16.0ms

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

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt 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 i c (fma a b (fma x y (* z t))))

series549.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(fma a b (fma x y (* z t)))
57.0ms
(fma x y (* z t))
376.0ms
(fma i c (fma a b (fma x y (* z t))))

simplify1.3s

Counts
39 → 39
Iterations
IterNodes
done5000
31009
2165
161
046

prune374.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
0.6b
(cbrt (fma i c (fma a b (fma x y (* z t)))))
0.6b
(cbrt (fma i c (fma a b (fma x y (* z t)))))
0.6b
(cbrt (fma i c (fma a b (fma x y (* z t)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
12.0ms
(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
1.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
1.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
1.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))

series789.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
173.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
146.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
169.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))

simplify3.9s

Counts
93 → 93
Iterations
IterNodes
done5000
34088
2722
1223
095

prune677.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma i c (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
0.2b
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
0.3b
(sqrt (fma a b (fma x y (* z t))))
0.3b
(sqrt (fma a b (fma x y (* z t))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
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 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma i c (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
11.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
1.0ms
(sqrt (fma a b (fma x y (* z t))))
2.0ms
(sqrt (fma a b (fma x y (* z t))))

series1.2s

Counts
4 → 12
Calls
4 calls:
275.0ms
(fma i c (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
72.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
457.0ms
(sqrt (fma a b (fma x y (* z t))))
429.0ms
(sqrt (fma a b (fma x y (* z t))))

simplify866.0ms

Counts
103 → 103
Iterations
IterNodes
done5002
2942
1227
0107

prune734.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes676.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s13584×body80valid