Details

Time bar (total: 12.7s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
099
1148
2198
3218
4238
5258
6268
done268

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(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:
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify3.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
022128
130125
254109
3162109
4604109
52554109
done5001109

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (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)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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:
21.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series825.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
207.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
181.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
203.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify2.2s

Counts
93 → 93
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01642210
13762055
210961898
336351555
done50001553

prune353.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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)))
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)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (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)))

series765.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
222.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
173.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
169.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0851384
11901336
25151232
316991072
done5000956

prune368.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
2.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
2.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
2.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
12.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

series686.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
179.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
157.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
204.0ms
(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

simplify1.8s

Counts
62 → 62
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01451487
13381443
29631318
333021154
done50001146

prune321.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes31.0ms

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

sample477.0ms

Algorithm
intervals
Results
317.0ms8011×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid