Details

Time bar (total: 16.5s)

sample33.0ms

Algorithm
intervals
Results
14.0ms356×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (5.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

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 (/ y z) y x)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(fma (/ y z) y x)

simplify3.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
019110
127107
26095
316995
453795
5207495
done500195

prune30.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:
16.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series406.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
101.0ms
(cbrt (fma (/ y z) y x))
100.0ms
(cbrt (fma (/ y z) y x))
103.0ms
(cbrt (fma (/ y z) y x))

simplify2.4s

Counts
93 → 93
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0851375
11561271
23891169
310121013
42892987
done5000922

prune271.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series412.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (fma (/ y z) y x))
102.0ms
(cbrt (fma (/ y z) y x))
105.0ms
(cbrt (fma (/ y z) y x))
104.0ms
(cbrt (fma (/ y z) y x))

simplify3.5s

Counts
64 → 64
Iterations

Useful iterations: 5 (1.9s)

IterNodesCost
042716
175700
2155644
3414612
41129596
53104564
done5000564

prune297.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

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:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series513.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(cbrt (fma (/ y z) y x))
117.0ms
(cbrt (fma (/ y z) y x))
131.0ms
(cbrt (fma (/ y z) y x))
136.0ms
(cbrt (fma (/ y z) y x))

simplify3.5s

Counts
64 → 64
Iterations

Useful iterations: 5 (1.7s)

IterNodesCost
042716
175700
2155644
3414612
41129596
53104564
done5000564

prune338.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

0% (0.1b 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
056
done56

end0.0ms

sample1.3s

Algorithm
intervals
Results
451.0ms10802×body80valid