Details

Time bar (total: 13.5s)

sample28.0ms

Algorithm
intervals
Results
14.0ms257×body80valid

simplify60.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
099
1148
2198
3218
4238
5258
6268
done268

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify2.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
022128
130125
254109
3162109
4604109
52554109
done5001109

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

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))))

rewrite19.0ms

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:
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)))
13.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series778.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
218.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
190.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
209.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify2.4s

Counts
93 → 93
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01642210
13762055
210931898
336381555
done50001548

prune386.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
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
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
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)))
10.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series796.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
181.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
173.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
241.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify2.4s

Counts
77 → 77
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01731719
14021605
211391495
339761337
done50001335

prune546.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.8b
(cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
1.0b
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)
1.5b
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 8)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
24×unpow-prod-down
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log pow-unpow
4×expm1-log1p-u pow-pow pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-exp sqr-pow
Counts
4 → 96
Calls
4 calls:
2.0ms
(cbrt (cbrt (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)))))
7.0ms
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)
7.0ms
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 8)

series863.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
162.0ms
(cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
254.0ms
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)
309.0ms
(pow (cbrt (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 8)

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02552662
15992481
216642348
done50012183

prune633.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes46.0ms

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

sample488.0ms

Algorithm
intervals
Results
323.0ms8004×body80valid
1.0ms4×body640valid
0.0ms3×body320valid
0.0ms2×body1280valid