Details

Time bar (total: 12.9s)

sample41.0ms

Algorithm
intervals
Results
21.0ms408×body80valid
0.0ms1×body1280valid

simplify601.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (127.0ms)

IterNodesCost
01821
13821
211719
334619
4134718
done500118

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

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

series264.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))
33.0ms
(fma (- 1.0 y) z x)
72.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))

simplify311.0ms

Counts
39 → 39
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
058588
1103578
2241494
3800490
done5000490

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1.0 y) z x)) (cbrt (fma (- 1.0 y) z x)))
0.5b
(cbrt (fma (- 1.0 y) z x))
0.5b
(cbrt (fma (- 1.0 y) z x))
0.5b
(cbrt (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:
5.0ms
(* (cbrt (fma (- 1.0 y) z x)) (cbrt (fma (- 1.0 y) z x)))
0.0ms
(cbrt (fma (- 1.0 y) z x))
0.0ms
(cbrt (fma (- 1.0 y) z x))
1.0ms
(cbrt (fma (- 1.0 y) z x))

series417.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (cbrt (fma (- 1.0 y) z x)) (cbrt (fma (- 1.0 y) z x)))
106.0ms
(cbrt (fma (- 1.0 y) z x))
106.0ms
(cbrt (fma (- 1.0 y) z x))
106.0ms
(cbrt (fma (- 1.0 y) z x))

simplify2.3s

Counts
93 → 93
Iterations

Useful iterations: 3 (873.0ms)

IterNodesCost
01311812
13081664
29541536
344771201
done50001201

prune370.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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)))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.6b
(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:
5.0ms
(* (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))))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (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)))))
415.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
418.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
414.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: 3 (588.0ms)

IterNodesCost
01403604
13263359
29513064
339122449
done50002449

prune355.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.3b
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
0.6b
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
1.0ms
(cbrt (sqrt (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))))

series1.7s

Counts
4 → 12
Calls
4 calls:
425.0ms
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
421.0ms
(cbrt (sqrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x)))))
418.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))
414.0ms
(cbrt (fma (- 1.0 t) a (fma b (- (+ y t) 2.0) (fma (- 1.0 y) z x))))

simplify609.0ms

Counts
70 → 70
Iterations

Useful iterations: 3 (215.0ms)

IterNodesCost
01232298
12712210
26562040
319731822
done50001822

prune340.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes179.0ms

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

sample984.0ms

Algorithm
intervals
Results
552.0ms12546×body80valid
1.0ms3×body1280valid
0.0ms2×body640valid
0.0ms1×body320valid
0.0ms1×body160valid