Details

Time bar (total: 13.5s)

sample41.0ms

Algorithm
intervals
Results
19.0ms417×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (192.0ms)

IterNodesCost
01821
13821
211719
334619
4134718
done500118

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))
0.0b
(fma (- 1.0 y) z x)
0.0b
(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
0.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))
0.0ms
(fma (- 1.0 y) z x)
0.0ms
(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))

series278.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))
30.0ms
(fma (- 1.0 y) z x)
169.0ms
(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))

simplify377.0ms

Counts
39 → 39
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
058588
1103578
2241494
3800490
done5000490

prune151.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.5b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.5b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.5b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

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:
6.0ms
(* (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
1.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

series2.5s

Counts
4 → 12
Calls
4 calls:
1.2s
(* (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
436.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
428.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
449.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

simplify824.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (372.0ms)

IterNodesCost
01403604
13263359
28383064
324962449
done50002449

prune397.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) 6)
0.5b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.5b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
44.3b
(pow (pow (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) 6) 1/3)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
22×unpow-prod-down
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
7×add-exp-log
6×pow-unpow
5×pow1 pow-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
1×unpow1/3
Counts
4 → 78
Calls
4 calls:
2.0ms
(pow (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) 6)
0.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
4.0ms
(pow (pow (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) 6) 1/3)

series4.9s

Counts
4 → 12
Calls
4 calls:
2.4s
(pow (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) 6)
440.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
436.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
1.6s
(pow (pow (cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))) 6) 1/3)

simplify1.3s

Counts
90 → 90
Iterations

Useful iterations: 3 (473.0ms)

IterNodesCost
01802974
14432765
211482450
339612156
done50002156

prune374.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11618
done1618

end0.0ms

sample1.0s

Algorithm
intervals
Results
584.0ms12466×body80valid
0.0ms1×body640valid
0.0ms1×body160valid