Details

Time bar (total: 28.2s)

sample91.0ms

Algorithm
intervals
Results
46.0ms460×body80valid

simplify128.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
015288
127263
262213
3118213
4154213
5156213
done156213

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×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
2 → 20
Calls
2 calls:
0.0ms
(fma a b (fma x y (* z t)))
0.0ms
(fma i c (fma a b (fma x y (* z t))))

series382.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(fma a b (fma x y (* z t)))
301.0ms
(fma i c (fma a b (fma x y (* z t))))

simplify1.7s

Counts
26 → 26
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0375551
1535351
21505351
39105351
done50015351

prune254.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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

rewrite14.0ms

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:
10.0ms
(* (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)))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t))))))
129.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
133.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
134.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))

simplify3.7s

Counts
93 → 93
Iterations

Useful iterations: done (3.7s)

IterNodesCost
09537196
122335908
272235625
3408834945
done500034586

prune750.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
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)))))
2.0ms
(cbrt (cbrt (fma i c (fma a b (fma x y (* z t))))))
7.0ms
(cbrt (* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t)))))))

series664.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
167.0ms
(cbrt (fma i c (fma a b (fma x y (* z t)))))
143.0ms
(cbrt (cbrt (fma i c (fma a b (fma x y (* z t))))))
214.0ms
(cbrt (* (cbrt (fma i c (fma a b (fma x y (* z t))))) (cbrt (fma i c (fma a b (fma x y (* z t)))))))

simplify2.3s

Counts
65 → 65
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
09428325
121027801
245127518
3126626878
4493726136
done500026136

prune637.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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 (fma a b (fma x y (* z t))))
2.0ms
(sqrt (fma i c (fma a b (fma x y (* z t)))))
2.0ms
(sqrt (fma i c (fma a b (fma x y (* z t)))))
17.0ms
(* (sqrt (fma i c (fma a b (fma x y (* z t))))) (sqrt (fma i c (fma a b (fma x y (* z t))))))

series11.3s

Counts
4 → 12
Calls
4 calls:
303.0ms
(fma i c (fma a b (fma x y (* z t))))
5.4s
(sqrt (fma i c (fma a b (fma x y (* z t)))))
5.3s
(sqrt (fma i c (fma a b (fma x y (* z t)))))
268.0ms
(* (sqrt (fma i c (fma a b (fma x y (* z t))))) (sqrt (fma i c (fma a b (fma x y (* z t))))))

simplify1.2s

Counts
103 → 103
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011036733
124232361
286431153
done500130373

prune729.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes1.2s

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
012213
113213
done13213

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s13954×body80valid