Details

Time bar (total: 11.6s)

sample27.0ms

Algorithm
intervals
Results
10.0ms346×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1147
2247
3497
4817
5897
done897

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(fma (fma x y z) y t)

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 4 (472.0ms)

IterNodesCost
023129
140124
2105110
3391108
43054106
done5000106

prune51.0ms

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 (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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
15.0ms
(* (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))

series961.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
269.0ms
(cbrt (fma (fma x y z) y t))
206.0ms
(cbrt (fma (fma x y z) y t))
241.0ms
(cbrt (fma (fma x y z) y t))

simplify859.0ms

Counts
93 → 93
Iterations

Useful iterations: done (857.0ms)

IterNodesCost
01071641
12681509
29281368
done50001232

prune486.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 (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))

series888.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt (fma (fma x y z) y t))
210.0ms
(cbrt (fma (fma x y z) y t))
218.0ms
(cbrt (fma (fma x y z) y t))
248.0ms
(cbrt (fma (fma x y z) y t))

simplify959.0ms

Counts
64 → 64
Iterations

Useful iterations: done (957.0ms)

IterNodesCost
056908
1127872
2336776
31274740
done5001708

prune468.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 (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))

series923.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt (fma (fma x y z) y t))
229.0ms
(cbrt (fma (fma x y z) y t))
207.0ms
(cbrt (fma (fma x y z) y t))
244.0ms
(cbrt (fma (fma x y z) y t))

simplify927.0ms

Counts
64 → 64
Iterations

Useful iterations: done (925.0ms)

IterNodesCost
056908
1127872
2336776
31274740
done5001708

prune444.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes265.0ms

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

sample1.3s

Algorithm
intervals
Results
614.0ms11232×body80valid