Details

Time bar (total: 27.3s)

sample50.0ms

Algorithm
intervals
Results
23.0ms337×body80valid
1.0ms2×body1280valid
0.0ms3×body160valid
0.0ms1×body320valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (350.0ms)

IterNodesCost
012285
131220
295220
3310220
4984196
52655196
done5000196

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(fma (fma 2 (+ y z) t) x (* y 5.0))

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0283176
1483076
21063076
33662886
424612886
done50002886

prune101.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:
1.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
9.0ms
(* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))

series3.1s

Counts
4 → 12
Calls
4 calls:
576.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
563.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
579.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.4s
(* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: done (2.0s)

IterNodesCost
015941598
138640075
2123139751
done500038570

prune793.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
1.0ms
(cbrt (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
1.0ms
(cbrt (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
1.0ms
(cbrt (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))

series2.2s

Counts
4 → 12
Calls
4 calls:
542.0ms
(cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))
546.0ms
(cbrt (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
542.0ms
(cbrt (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
558.0ms
(cbrt (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))

simplify2.6s

Counts
73 → 73
Iterations

Useful iterations: done (2.5s)

IterNodesCost
013839535
131038431
276638090
3253436911
done500036058

prune658.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize123.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×cbrt-prod
12×*-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 → 75
Calls
4 calls:
9.0ms
(* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
6.0ms
(cbrt (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))
6.0ms
(cbrt (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))
8.0ms
(cbrt (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))

series5.4s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))))
1.3s
(cbrt (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))
1.3s
(cbrt (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))
1.5s
(cbrt (* (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0))) (cbrt (fma (fma 2 (+ y z) t) x (* y 5.0)))))

simplify2.0s

Counts
87 → 87
Iterations

Useful iterations: done (2.0s)

IterNodesCost
016542480
138840832
2114740416
done500039184

prune611.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010196
112196
done12196

end0.0ms

sample1.2s

Algorithm
intervals
Results
742.0ms10706×body80valid
51.0ms90×body1280valid
16.0ms88×body640valid
8.0ms58×body320valid
3.0ms31×body160valid