Details

Time bar (total: 21.4s)

sample40.0ms

Algorithm
intervals
Results
20.0ms331×body80valid
1.0ms4×body1280valid
0.0ms2×body640valid
0.0ms1×body160valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (339.0ms)

IterNodesCost
01215
13114
29514
331712
4101611
5255811
done500011

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (fma 2 (+ y z) t) (* y 5.0))

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 x (fma 2 (+ y z) t) (* y 5.0))

series101.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(fma x (fma 2 (+ y z) t) (* y 5.0))

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
030197
156191
2135163
3459156
42891156
done5000156

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

rewrite33.0ms

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:
24.0ms
(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
2.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
2.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
2.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

series1.8s

Counts
4 → 12
Calls
4 calls:
617.0ms
(* (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))) (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0))))
413.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
408.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
399.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))

simplify997.0ms

Counts
93 → 93
Iterations

Useful iterations: done (992.0ms)

IterNodesCost
01472618
13432441
211772252
done50001963

prune678.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.6b
(* (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
37×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
2.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
2.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
2.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
22.0ms
(* (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
413.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
403.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
411.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
581.0ms
(* (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))))

simplify3.5s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01673349
13673155
211252957
349802499
done50002499

prune685.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
0.5b
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.3b
(pow (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 6)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×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 → 65
Calls
4 calls:
1.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
1.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
5.0ms
(pow (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 6)

series2.4s

Counts
4 → 12
Calls
4 calls:
654.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
404.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
403.0ms
(cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))
912.0ms
(pow (cbrt (cbrt (fma x (fma 2 (+ y z) t) (* y 5.0)))) 6)

simplify633.0ms

Counts
77 → 77
Iterations

Useful iterations: done (629.0ms)

IterNodesCost
01601945
14061875
212211644
done50011532

prune626.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.4s

Algorithm
intervals
Results
817.0ms10567×body80valid
27.0ms103×body1280valid
18.0ms84×body640valid
9.0ms60×body320valid
3.0ms27×body160valid