Details

Time bar (total: 9.5s)

sample21.0ms

Algorithm
intervals
Results
8.0ms362×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1147
2247
3397
4577
done577

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (fma x y z) y t)

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 (fma x y z) y t)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(fma (fma x y z) y t)

simplify891.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
023129
140124
285106
3239106
41043106
done5000106

prune37.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.6b
(cbrt (fma (fma x y z) y t))
0.6b
(cbrt (fma (fma x y z) y t))
0.6b
(cbrt (fma (fma x y z) y t))

rewrite10.0ms

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 (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))

series688.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
159.0ms
(cbrt (fma (fma x y z) y t))
164.0ms
(cbrt (fma (fma x y z) y t))
167.0ms
(cbrt (fma (fma x y z) y t))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01071641
12451509
26571368
319771177
done50001176

prune297.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (fma x y z) y t))
0.6b
(cbrt (cbrt (fma (fma x y z) y t)))
0.6b
(cbrt (cbrt (fma (fma x y z) y t)))
0.6b
(cbrt (cbrt (fma (fma x y z) y t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (cbrt (fma (fma x y z) y t)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (fma (fma x y z) y t))
165.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
167.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
164.0ms
(cbrt (cbrt (fma (fma x y z) y t)))

simplify2.5s

Counts
73 → 73
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
0861145
11971112
24951007
31499974
44916910
done5000910

prune279.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma (fma x y z) y t)))
0.6b
(cbrt (cbrt (fma (fma x y z) y t)))
0.6b
(cbrt (cbrt (fma (fma x y z) y t)))
1.2b
(pow (cbrt (cbrt (fma (fma x y z) y t))) 6)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×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 → 74
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
3.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) 6)

series821.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
171.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
167.0ms
(cbrt (cbrt (fma (fma x y z) y t)))
319.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) 6)

simplify953.0ms

Counts
86 → 86
Iterations

Useful iterations: 3 (310.0ms)

IterNodesCost
01101439
12511378
26281178
321411110
done50001110

prune381.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes144.0ms

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
067
done67

end0.0ms

sample530.0ms

Algorithm
intervals
Results
264.0ms11260×body80valid