Details

Time bar (total: 9.6s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
099
1148
2198
3218
4238
5258
6268
done268

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
1.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify2.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
022128
130125
254109
3162109
4689109
53396109
done5000109

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.2b
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×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×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
2.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
17.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
36.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
49.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
38.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify2.9s

Counts
98 → 98
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0931688
11881143
25931012
33527965
done5000936

prune249.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.6b
(* (fabs (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×sqrt-prod
9×cbrt-prod
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 76
Calls
4 calls:
62.0ms
(* (* (fabs (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
18.0ms
(* (fabs (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
2.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (* (fabs (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
71.0ms
(* (fabs (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
181.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
146.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02322738
15942555
226452307
done50012240

prune414.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
done88

end0.0ms

sample495.0ms

Algorithm
intervals
Results
321.0ms8005×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid