Details

Time bar (total: 12.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
099
1148
2198
3218
4238
5258
6268
done268

prune10.0ms

Pruning

2 alts after pruning (2 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:
1.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify2.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
022128
130125
254109
3162109
4689109
53396109
done5000109

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:
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)))
18.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
176.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
183.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
224.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01642210
14052055
215531898
done50011603

prune401.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.9b
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 67
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)))
14.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

series908.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
201.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
185.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
331.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

simplify1.0s

Counts
79 → 79
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01761833
14761676
216761498
done50011455

prune596.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b
(cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.8b
(cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 2))
1.0b
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-prod
21×unpow-prod-down
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow sqr-pow
1×pow-to-exp pow-exp unpow2
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
2.0ms
(cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
9.0ms
(cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 2))
22.0ms
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)

series812.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
146.0ms
(cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
201.0ms
(cbrt (pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 2))
309.0ms
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)

simplify1.9s

Counts
97 → 97
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03142414
18032213
230602075
done50022040

prune752.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
done88

end0.0ms

sample655.0ms

Algorithm
intervals
Results
440.0ms8009×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid