Details

Time bar (total: 7.9s)

sample84.0ms

Algorithm
intervals
Results
5.0ms64×body1280valid
4.0ms172×body80valid
4.0ms63×body640valid
1.0ms30×body320valid
0.0ms11×body160valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
059
1159
2409
31309
43749
510289
619009
724339
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
3.8b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
10×add-sqr-sqrt
9×pow1
7×add-cube-cbrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
4×add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
3×prod-diff
2×distribute-rgt-in expm1-log1p-u distribute-lft-in associate-*r/ associate-*l/ associate--l+ log1p-expm1-u
1×pow2 sub-neg flip3-- pow-plus fma-neg diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 63
Calls
2 calls:
37.0ms
(* (+ x 1.0) (+ x 1.0))
21.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series84.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ x 1.0) (+ x 1.0))
68.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify1.8s

Counts
69 → 69
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0106849
1340734
22163647
done5000636

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ 2.0 x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
18.0ms
(* x (+ 2.0 x))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* x (+ 2.0 x))

simplify373.0ms

Counts
28 → 28
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
046206
1143199
2771177
done5000177

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 2.0 x) (* x x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt distribute-rgt-out fma-def *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 15
Calls
1 calls:
8.0ms
(+ (* 2.0 x) (* x x))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(+ (* 2.0 x) (* x x))

simplify513.0ms

Counts
18 → 18
Iterations

Useful iterations: done (513.0ms)

IterNodesCost
032185
1118153
2702127
done5000124

prune30.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0)))
0.1b
(* (- x 1.0) (fma x x (* 1.0 (- 1.0 x))))
3.8b
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (fma x x (* 1.0 (- 1.0 x))))) 1.0)
10.8b
(/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (fma x x (* 1.0 (- 1.0 x)))))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
27×add-sqr-sqrt
23×prod-diff
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt
16×associate-*l/
14×associate-*l*
13×flip3-- flip--
10×associate-/r/
8×pow1 frac-times associate-/l/
7×fma-neg associate-*r*
6×flip3-+ prod-exp cbrt-unprod flip-+ add-log-exp
5×times-frac div-inv distribute-lft-out
4×cbrt-undiv distribute-rgt-in expm1-log1p-u unpow-prod-down distribute-lft-in cube-prod associate-*r/ div-exp log1p-expm1-u
3×sub-neg difference-of-squares
2×pow-prod-down *-commutative fma-udef distribute-lft-out-- unswap-sqr
1×frac-2neg diff-log clear-num associate-/r* sum-cubes associate-/l*
Counts
4 → 144
Calls
4 calls:
89.0ms
(* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0)))
22.0ms
(* (- x 1.0) (fma x x (* 1.0 (- 1.0 x))))
74.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (fma x x (* 1.0 (- 1.0 x))))) 1.0)
56.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (fma x x (* 1.0 (- 1.0 x)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0)))
46.0ms
(* (- x 1.0) (fma x x (* 1.0 (- 1.0 x))))
814.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (fma x x (* 1.0 (- 1.0 x))))) 1.0)
107.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (fma x x (* 1.0 (- 1.0 x)))))

simplify353.0ms

Counts
156 → 156
Iterations

Useful iterations: done (347.0ms)

IterNodesCost
02454880
17924498
done50003897

prune403.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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
045
165
done65

end0.0ms

sample975.0ms

Algorithm
intervals
Results
441.0ms5548×body80valid
194.0ms2216×body1280valid
137.0ms1754×body640valid
38.0ms821×body320valid
13.0ms414×body160valid