Details

Time bar (total: 10.6s)

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
099
1148
2198
3218
4238
5258
6268
done268

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

series51.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
022128
130125
254109
3162109
4689109
53396109
done5000109

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

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)))

rewrite18.0ms

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:
12.0ms
(* (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)))

series684.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
166.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
133.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
193.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify947.0ms

Counts
93 → 93
Iterations

Useful iterations: done (942.0ms)

IterNodesCost
01642210
14052055
214851898
done50001603

prune401.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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

rewrite22.0ms

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))

series741.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
149.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
141.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
296.0ms
(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) (+ 3 1))

simplify772.0ms

Counts
79 → 79
Iterations

Useful iterations: done (769.0ms)

IterNodesCost
01761833
14761676
216761498
done50011455

prune373.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite19.0ms

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))
14.0ms
(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
60.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
72.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))
44.0ms
(* (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 (2.9s)

IterNodesCost
0931688
11881143
25931012
33527965
done5000936

prune248.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes31.0ms

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

sample510.0ms

Algorithm
intervals
Results
336.0ms8004×body80valid
0.0ms3×body1280valid
0.0ms2×body640valid
0.0ms1×body160valid