Details

Time bar (total: 14.1s)

sample36.0ms

Algorithm
intervals
Results
20.0ms379×body80valid

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1139
2359
3889
41409
51479
61649
72119
83559
98299
1026199
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x x) (- 3.0 (* x 2.0)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in add-sqr-sqrt distribute-lft-in
4×add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 33
Calls
1 calls:
54.0ms
(* (* x x) (- 3.0 (* x 2.0)))

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(* (* x x) (- 3.0 (* x 2.0)))

simplify3.0s

Counts
36 → 36
Iterations

Useful iterations: done (3.0s)

IterNodesCost
077533
1207518
2681442
32676421
done5002397

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (pow x 3))
0.0b
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
0.1b
(* (* x 3.0) x)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt associate-*r*
13×add-exp-log
10×add-cbrt-cube
8×pow1 add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×prod-exp
4×unpow-prod-down cube-prod associate-*l* cbrt-unprod unswap-sqr
3×expm1-log1p-u pow-prod-down log1p-expm1-u
2×sum-log *-commutative sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp flip-+
Counts
3 → 71
Calls
3 calls:
28.0ms
(* 2.0 (pow x 3))
46.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
36.0ms
(* (* x 3.0) x)

series240.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* 2.0 (pow x 3))
134.0ms
(+ (* (* x 3.0) x) (- (* 2.0 (pow x 3))))
52.0ms
(* (* x 3.0) x)

simplify1.9s

Counts
80 → 80
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0113760
1289673
21064609
done5000573

prune216.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x))
6.3b
(/ (* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x)) (+ 3.0 (* x 2.0)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
14×pow1
8×pow-prod-down
5×cbrt-undiv div-exp
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac associate-/r*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-2neg flip3-+ associate-*r* associate-*l* clear-num *-commutative flip-+ div-inv associate-/l*
Counts
2 → 55
Calls
2 calls:
51.0ms
(* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x))
46.0ms
(/ (* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x)) (+ 3.0 (* x 2.0)))

series622.0ms

Counts
2 → 6
Calls
2 calls:
287.0ms
(* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x))
334.0ms
(/ (* (* (fma x 2.0 3.0) (fma (- x) 2.0 3.0)) (* x x)) (+ 3.0 (* x 2.0)))

simplify1.2s

Counts
61 → 61
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01111501
13091390
214601062
done5000880

prune177.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11812
22012
done2012

end0.0ms

sample728.0ms

Algorithm
intervals
Results
518.0ms11995×body80valid