Details

Time bar (total: 10.9s)

sample52.0ms

Algorithm
intervals
Results
20.0ms48×body1280valid
10.0ms39×body640valid
8.0ms142×body80valid
3.0ms19×body320valid
1.0ms8×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1128
2158
done158

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x (sin y) (* z (cos y)))
0.1b
(* z (cos y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x (sin y) (* z (cos y)))
3.0ms
(* z (cos y))

series115.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(fma x (sin y) (* z (cos y)))
39.0ms
(* z (cos y))

simplify1.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
050271
184266
2165233
3280233
4640233
51999233
done5000233

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma x (sin y) (* z (cos y))))
0.5b
(cbrt (fma x (sin y) (* z (cos y))))
0.5b
(cbrt (fma x (sin y) (* z (cos y))))
0.6b
(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))

rewrite9.0ms

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:
0.0ms
(cbrt (fma x (sin y) (* z (cos y))))
0.0ms
(cbrt (fma x (sin y) (* z (cos y))))
0.0ms
(cbrt (fma x (sin y) (* z (cos y))))
6.0ms
(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))

series809.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt (fma x (sin y) (* z (cos y))))
198.0ms
(cbrt (fma x (sin y) (* z (cos y))))
197.0ms
(cbrt (fma x (sin y) (* z (cos y))))
218.0ms
(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))

simplify959.0ms

Counts
93 → 93
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
01021745
12141617
25941483
318331284
done50001282

prune314.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (* (cbrt (cbrt (fma x (sin y) (* z (cos y))))) (cbrt (cbrt (fma x (sin y) (* z (cos y)))))) (cbrt (cbrt (fma x (sin y) (* z (cos y)))))) (cbrt (fma x (sin y) (* z (cos y)))))
0.6b
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
19×pow1/3
15×pow1
13×add-exp-log add-cube-cbrt
12×add-sqr-sqrt *-un-lft-identity
9×pow-prod-down
8×pow-prod-up
6×associate-*r* prod-exp add-cbrt-cube cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
63.0ms
(* (* (* (cbrt (cbrt (fma x (sin y) (* z (cos y))))) (cbrt (cbrt (fma x (sin y) (* z (cos y)))))) (cbrt (cbrt (fma x (sin y) (* z (cos y)))))) (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

series817.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (* (* (cbrt (cbrt (fma x (sin y) (* z (cos y))))) (cbrt (cbrt (fma x (sin y) (* z (cos y)))))) (cbrt (cbrt (fma x (sin y) (* z (cos y)))))) (cbrt (fma x (sin y) (* z (cos y)))))
199.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
199.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
199.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: 3 (691.0ms)

IterNodesCost
01242423
12922344
28891595
329971296
done50001296

prune359.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
1.2b
(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 6)

rewrite6.0ms

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 x (sin y) (* z (cos y)))))
1.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
1.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
3.0ms
(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 6)

series861.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
201.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
198.0ms
(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
262.0ms
(pow (cbrt (cbrt (fma x (sin y) (* z (cos y))))) 6)

simplify1.0s

Counts
86 → 86
Iterations

Useful iterations: 3 (439.0ms)

IterNodesCost
01071496
12331448
25971253
320341202
done50001202

prune382.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample1.6s

Algorithm
intervals
Results
658.0ms1521×body1280valid
327.0ms1211×body640valid
252.0ms4350×body80valid
107.0ms595×body320valid
45.0ms323×body160valid