Details

Time bar (total: 5.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
099
1148
2188
3208
4228
5248
6258
done258

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify923.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
022128
130125
253109
3139109
4480109
51832109
done5001109

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite9.0ms

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:
6.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
125.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
122.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
122.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify596.0ms

Counts
93 → 93
Iterations

Useful iterations: done (593.0ms)

IterNodesCost
01642210
13762055
212751898
done50001771

prune251.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite6.0ms

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:
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series502.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
123.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
128.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
121.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify704.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (198.0ms)

IterNodesCost
0851384
11901336
25891232
323571072
done50001072

prune234.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

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)))
2.7b
(expm1 (log1p (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×expm1-log1p expm1-udef
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms
(expm1 (log1p (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
128.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
125.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
343.0ms
(expm1 (log1p (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))

simplify533.0ms

Counts
62 → 62
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
01811762
14761668
217781503
done50001503

prune238.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088
done88

end0.0ms

sample245.0ms

Algorithm
intervals
Results
161.0ms8001×body80valid
0.0ms2×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid