Details

Time bar (total: 4.8s)

sample78.0ms

Algorithm
intervals
Results
57.0ms189×body1280valid
6.0ms37×body640valid
4.0ms194×body80valid
1.0ms14×body320valid
1.0ms12×body160valid

simplify211.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4675
51005
61445
72965
813215
950015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.3b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite26.0ms

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)
21.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (exp x) 2.0)
58.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0211282
1715269
23477260
35001260

prune91.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:
3.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
14.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms
(* 1/360 (pow x 6))
6.0ms
(* 1/12 (pow x 4))

series272.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
53.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
52.0ms
(* 1/360 (pow x 6))
37.0ms
(* 1/12 (pow x 4))

simplify48.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0329464
11456439
25001423

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.3b
(+ (pow (- (exp x) 2.0) 1) (exp (- x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
4×add-sqr-sqrt
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
1×+-commutative sub-neg flip3-- flip3-+ diff-log sum-log flip-- flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 26
Calls
2 calls:
4.0ms
(- (exp x) 2.0)
43.0ms
(+ (pow (- (exp x) 2.0) 1) (exp (- x)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (exp x) 2.0)
58.0ms
(+ (pow (- (exp x) 2.0) 1) (exp (- x)))

simplify91.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0187200
1656182
22930181
35001180

prune75.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
0.0b
(pow (exp x) 3)
0.3b
(/ (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))) (* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))))
4.6b
(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×add-exp-log
5×pow1
4×pow-pow flip3-+ sum-log flip-+
3×unpow-prod-down pow-unpow exp-prod times-frac cube-prod associate-/l*
2×cbrt-undiv +-commutative associate-+l+ associate-*r/ div-exp associate-/r/ associate-/l/
1×distribute-rgt-in cube-mult pow-to-exp associate-+r+ frac-2neg distribute-lft-in unpow3 pow-exp prod-exp clear-num associate-/r* cbrt-unprod div-inv rem-cube-cbrt sqr-pow
Counts
4 → 77
Calls
4 calls:
11.0ms
(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
2.0ms
(pow (exp x) 3)
197.0ms
(/ (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))) (* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))))
52.0ms
(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))
24.0ms
(pow (exp x) 3)
256.0ms
(/ (+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3)))))) (* (exp x) (+ (* 2.0 (+ 2.0 (exp x))) (exp (+ x x)))))
91.0ms
(+ (* 2.0 2.0) (+ (exp (+ x x)) (* (exp x) (+ 2.0 (- (pow (exp x) 3) (pow 2.0 3))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05081261
128841090
250011083

prune278.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5570×body1280valid
199.0ms1288×body640valid
185.0ms8015×body80valid
58.0ms616×body320valid
21.0ms355×body160valid