Details

Time bar (total: 13.4s)

sample38.0ms

Algorithm
intervals
Results
16.0ms300×body80valid
1.0ms4×body640valid
0.0ms2×body1280valid
0.0ms3×body320valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
08164
119139
234139
356139
471139
572139
done72139

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma x (+ y z) (* z 5.0))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(fma x (+ y z) (* z 5.0))

simplify2.5s

Counts
13 → 13
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0222606
1372411
21362411
311382411
done50012411

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
13.0ms
(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
250.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
249.0ms
(cbrt (fma x (+ y z) (* z 5.0)))
229.0ms
(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
010832681
126430650
293730368
done500129546

prune641.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×cbrt-prod pow1
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* 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 → 69
Calls
4 calls:
24.0ms
(* (cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))) (cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))))
8.0ms
(cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0)))))
4.0ms
(cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0)))))
5.0ms
(cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
498.0ms
(* (cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))) (cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))))
310.0ms
(cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0)))))
316.0ms
(cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0)))))
383.0ms
(cbrt (* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0)))))

simplify1.4s

Counts
81 → 81
Iterations

Useful iterations: done (1.4s)

IterNodesCost
011335299
128333436
297232923
done500031967

prune510.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
250.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
272.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
241.0ms
(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

simplify1.2s

Counts
76 → 76
Iterations

Useful iterations: done (1.2s)

IterNodesCost
06234552
112532904
229032584
398531844
done500031204

prune552.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes377.0ms

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
07139
19139
done9139

end0.0ms

sample803.0ms

Algorithm
intervals
Results
482.0ms9810×body80valid
17.0ms107×body1280valid
16.0ms117×body640valid
7.0ms76×body320valid
1.0ms21×body160valid