Details

Time bar (total: 14.6s)

sample86.0ms

Algorithm
intervals
Results
37.0ms427×body80valid

simplify99.0ms

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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

series504.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(fma a b (fma x y (* z t)))
68.0ms
(fma x y (* z t))
346.0ms
(fma i c (fma a b (fma x y (* z t))))

simplify1.1s

Counts
39 → 39
Iterations
IterNodes
done5000
31009
2165
161
046

prune419.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize84.0ms

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)))))

rewrite25.0ms

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:
17.0ms
(* (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)))))

series742.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
183.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
184.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
165.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))

simplify3.9s

Counts
93 → 93
Iterations
IterNodes
done5000
34088
2722
1223
095

prune743.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize50.0ms

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))))

rewrite20.0ms

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:
1.0ms
(fma i c (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
12.0ms
(* (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))))
1.0ms
(sqrt (fma a b (fma x y (* z t))))

series1.9s

Counts
4 → 12
Calls
4 calls:
375.0ms
(fma i c (* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t))))))
88.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
518.0ms
(sqrt (fma a b (fma x y (* z t))))
954.0ms
(sqrt (fma a b (fma x y (* z t))))

simplify806.0ms

Counts
103 → 103
Iterations
IterNodes
done5002
2942
1227
0107

prune772.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s13584×body80valid