Details

Time bar (total: 34.5s)

sample162.0ms

Algorithm
intervals
Results
79.0ms808×body80nan
24.0ms257×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (102.0ms)

IterNodesCost
010304
121304
252304
3129304
4521279
52214279
done5000279

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

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

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:
0.0ms
(fma (log y) x (log t))

series138.0ms

Counts
1 → 3
Calls
1 calls:
138.0ms
(fma (log y) x (log t))

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0373615
1693539
21763499
39313349
done50003294

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (fma (log y) x (log t)))

rewrite17.0ms

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:
11.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
1.0ms
(cbrt (fma (log y) x (log t)))
1.0ms
(cbrt (fma (log y) x (log t)))
1.0ms
(cbrt (fma (log y) x (log t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
413.0ms
(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
212.0ms
(cbrt (fma (log y) x (log t)))
209.0ms
(cbrt (fma (log y) x (log t)))
201.0ms
(cbrt (fma (log y) x (log t)))

simplify7.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (4.6s)

IterNodesCost
024858812
182547850
2498247110
done500047110

prune1000.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (fma (log y) x (log t)))
0.5b
(cbrt (cbrt (fma (log y) x (log t))))
0.5b
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×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 → 53
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (log t)))
1.0ms
(cbrt (fma (log y) x (log t)))
2.0ms
(cbrt (cbrt (fma (log y) x (log t))))
8.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt (fma (log y) x (log t)))
256.0ms
(cbrt (fma (log y) x (log t)))
226.0ms
(cbrt (cbrt (fma (log y) x (log t))))
398.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

simplify4.9s

Counts
65 → 65
Iterations

Useful iterations: done (4.9s)

IterNodesCost
029350598
194041637
done500040532

prune784.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (* (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))) (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))) (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))))
0.5b
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.5b
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
0.5b
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
4×cbrt-prod add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt log1p-expm1-u add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 45
Calls
4 calls:
27.0ms
(cbrt (* (* (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))) (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))) (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))))
4.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
4.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
7.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
415.0ms
(cbrt (* (* (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))) (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))) (cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))))
409.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
383.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))
394.0ms
(cbrt (* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t)))))

simplify6.8s

Counts
57 → 57
Iterations

Useful iterations: done (6.8s)

IterNodesCost
018058712
156548416
2326547896
done500245556

prune828.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes670.0ms

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
09279
done9279

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.2s23596×body80nan
1.1s8031×body80valid
0.0ms1×body640valid