Details

Time bar (total: 25.6s)

sample265.0ms

Algorithm
intervals
Results
5.0ms62×body1280valid
3.0ms61×body640valid
3.0ms185×body80valid
1.0ms25×body320valid
0.0ms11×body160valid

simplify14.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
059
1149
2329
3699
41559
52579
63729
76029
812679
917659
1021259
1124039
1226499
1329149
1441679
1542159
1642719
1742959
done42959

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) (+ x 1.0))
4.0b
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
9×pow1 add-sqr-sqrt
6×add-cube-cbrt flip3-+ swap-sqr flip-+ distribute-lft-out
4×add-exp-log frac-times associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+
1×pow2 sub-neg flip3-- pow-plus diff-log pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
2 → 55
Calls
2 calls:
16.0ms
(* (+ x 1.0) (+ x 1.0))
10.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series78.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (+ x 1.0) (+ x 1.0))
63.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify2.4s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
086736
1229642
2839576
34112534
done5000534

prune83.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (+ x 2.0))

rewrite11.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
11.0ms
(* x (+ x 2.0))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* x (+ x 2.0))

simplify3.4s

Counts
26 → 26
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
044194
1122181
2320163
31003163
44065163
done5001163

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt distribute-rgt-out *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 12
Calls
1 calls:
3.0ms
(+ (* x x) (* 2.0 x))

series48.0ms

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

simplify1.6s

Counts
15 → 15
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
030169
1100130
2351112
3939112
42104112
done5001112

prune20.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3)))
0.1b
(* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x))))
4.0b
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x))))) 1.0)
14.1b
(/ (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x)))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
108×*-un-lft-identity
46×distribute-lft-out
40×unpow-prod-down cube-prod
26×swap-sqr
24×flip3-+ flip-+
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×pow1
16×frac-times
12×add-cube-cbrt associate-*r* associate-*l*
8×associate-*r/ associate-*l/ associate-/r/ associate-/l/
6×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp sum-cubes
2×pow2 distribute-rgt-in distribute-lft-in times-frac pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up difference-of-squares unswap-sqr
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* flip-- div-inv associate-/l* distribute-lft-out--
Counts
4 → 154
Calls
4 calls:
98.0ms
(* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3)))
15.0ms
(* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x))))
59.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x))))) 1.0)
41.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x)))))

series663.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3)))
35.0ms
(* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x))))
498.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x))))) 1.0)
67.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (* 1.0 (- 1.0 x))) (+ (* x x) (* 1.0 (- 1.0 x)))))

simplify1.2s

Counts
166 → 166
Iterations

Useful iterations: 2 (388.0ms)

IterNodesCost
02075280
16814626
234143886
done50003886

prune280.0ms

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
057
177
done77

end0.0ms

sample473.0ms

Algorithm
intervals
Results
146.0ms2214×body1280valid
86.0ms1675×body640valid
84.0ms5577×body80valid
32.0ms815×body320valid
11.0ms407×body160valid