Details

Time bar (total: 10.2s)

sample78.0ms

Algorithm
intervals
Results
55.0ms190×body1280valid
6.0ms41×body640valid
5.0ms236×body80valid
1.0ms13×body320valid
1.0ms10×body160valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1148
2268
3388
4498
5548
6638
7808
8998
91068
101108
111148
done1148

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
2.6b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite27.0ms

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:
4.0ms
(- (exp x) 2.0)
22.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
57.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify928.0ms

Counts
41 → 41
Iterations

Useful iterations: 3 (326.0ms)

IterNodesCost
093511
1212465
2574445
31993432
done5001432

prune90.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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

rewrite28.0ms

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:
12.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
3.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))

series282.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
139.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
53.0ms
(* 1/360 (pow x 6))
37.0ms
(* 1/12 (pow x 4))

simplify1.0s

Counts
87 → 87
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01331068
1334934
2935888
done5001870

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/12 (pow x 4))
0.1b
(* 1/12 (pow x 4))
30.3b
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
30.3b
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
14×add-exp-log associate-*r*
12×add-cube-cbrt
8×unpow-prod-down sqrt-prod add-cbrt-cube
6×pow1 associate-*l* prod-exp unswap-sqr
4×sqrt-div add-log-exp sqr-pow
2×pow-to-exp rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow-exp *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 82
Calls
4 calls:
5.0ms
(* 1/12 (pow x 4))
5.0ms
(* 1/12 (pow x 4))
19.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
20.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 1/12 (pow x 4))
36.0ms
(* 1/12 (pow x 4))
103.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
100.0ms
(sqrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify1.7s

Counts
94 → 94
Iterations

Useful iterations: 3 (668.0ms)

IterNodesCost
01121420
12651228
27121184
328771162
done50001162

prune290.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
31.2b
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
31.2b
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
31.2b
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
82.0ms
(* (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
10.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
10.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
10.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series545.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))))
134.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
130.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))
134.0ms
(cbrt (+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify1.8s

Counts
107 → 107
Iterations

Useful iterations: 3 (571.0ms)

IterNodesCost
01614106
13603755
29623511
335563006
done50003006

prune342.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01315
11715
done1715

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5706×body1280valid
177.0ms1192×body640valid
170.0ms8047×body80valid
53.0ms602×body320valid
19.0ms321×body160valid