Details

Time bar (total: 6.1s)

sample60.0ms

Algorithm
intervals
Results
5.0ms64×body1280valid
4.0ms172×body80valid
4.0ms63×body640valid
2.0ms30×body320valid
0.0ms11×body160valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
059
1149
2379
31119
43269
510639
619039
723149
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.6b

localize7.0ms

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)

rewrite59.0ms

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:
31.0ms
(* (+ x 1.0) (+ x 1.0))
25.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series83.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ x 1.0) (+ x 1.0))
67.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify743.0ms

Counts
61 → 61
Iterations

Useful iterations: done (739.0ms)

IterNodesCost
086736
1268656
21612576
done5000569

prune76.0ms

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))

rewrite18.0ms

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:
18.0ms
(* x (+ x 2.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (+ x 2.0))

simplify325.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
044194
1139187
2715165
done5000165

prune39.0ms

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
(+ (* x x) (* x 2.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
7.0ms
(+ (* x x) (* x 2.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(+ (* x x) (* x 2.0))

simplify365.0ms

Counts
15 → 15
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
031169
1110134
2661112
done5000112

prune25.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

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) (+ (* 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) (+ (* 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) (+ (* x x) (* 1.0 (- 1.0 x)))))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-exp-log add-cbrt-cube
16×add-sqr-sqrt frac-times
14×associate-*l*
13×flip3-- flip--
12×flip3-+ flip-+
8×pow1 add-cube-cbrt associate-*r/ associate-*l/ associate-/r/ associate-/l/
7×associate-*r*
6×prod-exp cbrt-unprod add-log-exp
5×distribute-lft-out
4×cbrt-undiv unpow-prod-down cube-prod div-exp
3×distribute-rgt-in sub-neg distribute-lft-in difference-of-squares
2×pow-prod-down *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg times-frac diff-log clear-num associate-/r* sum-cubes div-inv associate-/l*
Counts
4 → 118
Calls
4 calls:
89.0ms
(* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0)))
36.0ms
(* (- x 1.0) (+ (* x x) (* 1.0 (- 1.0 x))))
106.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (+ (* x x) (* 1.0 (- 1.0 x))))) 1.0)
62.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (+ (* x x) (* 1.0 (- 1.0 x)))))

series950.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0)))
44.0ms
(* (- x 1.0) (+ (* x x) (* 1.0 (- 1.0 x))))
757.0ms
(- (/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (+ (* x x) (* 1.0 (- 1.0 x))))) 1.0)
101.0ms
(/ (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (+ (* x x) (* 1.0 (- 1.0 x)))))

simplify327.0ms

Counts
130 → 130
Iterations

Useful iterations: done (323.0ms)

IterNodesCost
02213867
18083662
done50003214

prune343.0ms

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

sample1.0s

Algorithm
intervals
Results
422.0ms1754×body640valid
297.0ms2216×body1280valid
101.0ms5548×body80valid
41.0ms821×body320valid
14.0ms414×body160valid