Details

Time bar (total: 5.0s)

sample79.0ms

Algorithm
intervals
Results
51.0ms189×body1280valid
8.0ms261×body80valid
4.0ms27×body640valid
2.0ms27×body320valid
0.0ms8×body160valid

simplify214.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4675
51005
61445
72965
813215
950015
done50015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.9b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
4×add-sqr-sqrt frac-add
3×flip3-- flip--
2×pow1 add-exp-log neg-sub0 exp-neg add-cube-cbrt sub-neg associate-+l+ exp-diff diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- flip3-+ flip-+ difference-of-squares
Counts
2 → 35
Calls
2 calls:
9.0ms
(- (exp x) 2.0)
47.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (exp x) 2.0)
57.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify91.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0211282
1715269
23477260
35001260
done5001260

prune83.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.1b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×add-exp-log associate-*r*
12×*-un-lft-identity
11×add-log-exp
10×add-cube-cbrt
8×unpow-prod-down add-cbrt-cube
6×associate-*l* prod-exp unswap-sqr
4×pow1 sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×associate-+r+ distribute-lft-out
Counts
4 → 75
Calls
4 calls:
24.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
9.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
11.0ms
(* 1/360 (pow x 6))
13.0ms
(* 1/12 (pow x 4))

series281.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
134.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
50.0ms
(* 1/360 (pow x 6))
40.0ms
(* 1/12 (pow x 4))

simplify47.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0329464
11456439
25001423
done5001423

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))
2.9b
(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
29.9b
(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
17×*-un-lft-identity
15×add-exp-log
14×associate-*r*
13×add-cube-cbrt
8×unpow-prod-down log-prod add-cbrt-cube
6×pow1 associate-*l* prod-exp unswap-sqr
4×log-div exp-prod exp-sum add-log-exp sqr-pow
2×pow-to-exp flip3-+ exp-diff pow-exp log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out
1×rem-log-exp rem-exp-log
Counts
4 → 83
Calls
4 calls:
11.0ms
(* 1/360 (pow x 6))
13.0ms
(* 1/12 (pow x 4))
20.0ms
(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
18.0ms
(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 1/360 (pow x 6))
39.0ms
(* 1/12 (pow x 4))
60.0ms
(exp (log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
97.0ms
(log (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify45.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0355681
11365618
25002592
done5002592

prune242.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
0.0b
(* (+ (exp x) 2.0) (exp x))
0.0b
(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
3.4b
(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube
17×add-exp-log
15×flip3-+ flip-+
12×add-sqr-sqrt *-un-lft-identity
8×pow1 frac-times add-cube-cbrt associate-*l* associate-*l/ associate-/l/
6×associate-*r* prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv associate-+l+ associate-*r/ div-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg pow-prod-down associate-/r/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative frac-2neg times-frac clear-num associate-/r* sum-log div-inv associate-/l*
Counts
4 → 96
Calls
4 calls:
92.0ms
(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
35.0ms
(* (+ (exp x) 2.0) (exp x))
58.0ms
(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
20.0ms
(+ (* (exp x) (- (exp x) 2.0)) 1)

series283.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
24.0ms
(* (+ (exp x) 2.0) (exp x))
105.0ms
(/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))
62.0ms
(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify103.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
05751281
138291005
25002994
done5002994

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177
done177

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5638×body1280valid
194.0ms1294×body640valid
176.0ms8070×body80valid
50.0ms574×body320valid
18.0ms322×body160valid