Details

Time bar (total: 13.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
099
1148
2198
3218
4238
5258
6268
done268

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite2.0ms

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))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify3.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
022128
130125
254109
3162109
4604109
52554109
done5001109

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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))))

rewrite21.0ms

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)))
16.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series699.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
145.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
167.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
212.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01642210
13762055
210931898
336381555
done50001548

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.2b
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.7b
(* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
129×pow1
83×cbrt-prod
73×add-sqr-sqrt
57×pow1/3
53×pow-prod-up
40×sqrt-prod
37×pow-sqr
36×pow-prod-down
29×add-cube-cbrt *-un-lft-identity
23×swap-sqr
20×add-exp-log pow-plus
19×associate-*r* associate-*l* unswap-sqr
15×pow2
10×prod-exp cbrt-unprod
8×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
Counts
4 → 205
Calls
4 calls:
18.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
17.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
83.0ms
(* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series760.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
197.0ms
(* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
211.0ms
(* (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (* (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
177.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify3.0s

Counts
217 → 217
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02205998
14874596
213154171
344763376
done50003370

prune623.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.7b
(cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.7b
(pow (cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)
0.7b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
9×sqrt-prod
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 → 80
Calls
4 calls:
3.0ms
(cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
3.0ms
(cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
9.0ms
(pow (cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series777.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
159.0ms
(cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
274.0ms
(pow (cbrt (cbrt (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) 4)
184.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify920.0ms

Counts
92 → 92
Iterations

Useful iterations: done (914.0ms)

IterNodesCost
02342205
15392040
215291917
done50001751

prune828.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
done88

end0.0ms

sample499.0ms

Algorithm
intervals
Results
331.0ms8007×body80valid
0.0ms2×body640valid
0.0ms2×body160valid