Details

Time bar (total: 15.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma (/ y z) y x)

simplify3.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
019110
128110
27895
330495
4263095
done500095

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite29.0ms

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:
22.0ms
(* (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))

series483.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
123.0ms
(cbrt (fma (/ y z) y x))
121.0ms
(cbrt (fma (/ y z) y x))
114.0ms
(cbrt (fma (/ y z) y x))

simplify6.0s

Counts
93 → 93
Iterations

Useful iterations: done (6.0s)

IterNodesCost
0851375
11741271
25791169
338201013
done5000989

prune307.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite7.0ms

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))

series546.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (fma (/ y z) y x))
126.0ms
(cbrt (fma (/ y z) y x))
135.0ms
(cbrt (fma (/ y z) y x))
141.0ms
(cbrt (fma (/ y z) y x))

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: done (1.3s)

IterNodesCost
042716
175700
2157644
3473612
42110596
done5001584

prune290.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

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))

series497.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (fma (/ y z) y x))
142.0ms
(cbrt (fma (/ y z) y x))
137.0ms
(cbrt (fma (/ y z) y x))
116.0ms
(cbrt (fma (/ y z) y x))

simplify1.4s

Counts
64 → 64
Iterations

Useful iterations: done (1.4s)

IterNodesCost
042716
175700
2157644
3473612
42110596
done5001584

prune320.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes182.0ms

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

sample861.0ms

Algorithm
intervals
Results
379.0ms10702×body80valid