Details

Time bar (total: 5.4s)

sample76.0ms

Algorithm
intervals
Results
51.0ms181×body1280valid
7.0ms47×body640valid
6.0ms258×body80valid
2.0ms19×body320valid
0.0ms5×body160valid

simplify220.0ms

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: 29.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
2.4b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite13.0ms

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)
8.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series70.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(- (exp x) 2.0)
58.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify91.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0211282
1715269
23477260
35001260

prune85.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite24.0ms

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:
7.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))

series268.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
129.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
45.0ms
(* 1/360 (pow x 6))
39.0ms
(* 1/12 (pow x 4))

simplify49.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0329464
11456439
25001423

prune193.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 2.0)
0.0b
(+ (exp x) 2.0)
0.0b
(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
2.1b
(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
9×flip3-+ flip-+
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×frac-times associate-+l+ associate-*l*
3×+-commutative distribute-rgt-in distribute-lft-in associate-*r* sum-log distribute-lft-out
2×sub-neg associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
4.0ms
(+ (exp x) 2.0)
4.0ms
(+ (exp x) 2.0)
14.0ms
(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
8.0ms
(+ (* (exp x) (- (exp x) 2.0)) 1)

series162.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (exp x) 2.0)
7.0ms
(+ (exp x) 2.0)
89.0ms
(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
58.0ms
(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify53.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0357670
12065603
25001601

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (+ (exp x) 2.0) (/ (- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1) (- (* (exp x) (- (exp x) 2.0)) 1))) (* (+ (exp x) 2.0) (exp x)))
0.0b
(* (+ (exp x) 2.0) (/ (- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1) (- (* (exp x) (- (exp x) 2.0)) 1)))
0.0b
(* (- (exp x) 2.0) (- (exp x) 2.0))
2.6b
(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity add-cbrt-cube
31×add-sqr-sqrt
29×add-exp-log
20×associate-*r*
16×add-cube-cbrt
13×pow1
11×times-frac
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
9×cbrt-undiv div-exp associate-*l*
8×frac-times flip3-- associate-*l/ associate--l+ flip--
7×sub-neg swap-sqr
6×distribute-lft-out-- add-log-exp
5×flip3-+ flip-+ associate-/l/
4×associate-*r/ associate-/r/ difference-of-squares
3×unswap-sqr
2×pow-prod-down *-commutative div-inv
1×pow2 frac-2neg pow-plus diff-log clear-num associate-/r* pow-sqr pow-prod-up distribute-lft-out associate-/l*
Counts
4 → 136
Calls
4 calls:
31.0ms
(/ (* (+ (exp x) 2.0) (/ (- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1) (- (* (exp x) (- (exp x) 2.0)) 1))) (* (+ (exp x) 2.0) (exp x)))
27.0ms
(* (+ (exp x) 2.0) (/ (- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1) (- (* (exp x) (- (exp x) 2.0)) 1)))
11.0ms
(* (- (exp x) 2.0) (- (exp x) 2.0))
15.0ms
(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

series908.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(/ (* (+ (exp x) 2.0) (/ (- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1) (- (* (exp x) (- (exp x) 2.0)) 1))) (* (+ (exp x) 2.0) (exp x)))
270.0ms
(* (+ (exp x) 2.0) (/ (- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1) (- (* (exp x) (- (exp x) 2.0)) 1)))
225.0ms
(* (- (exp x) 2.0) (- (exp x) 2.0))
133.0ms
(- (* (pow (exp x) 2) (* (- (exp x) 2.0) (- (exp x) 2.0))) 1)

simplify52.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
07872621
150011994

prune365.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.7s5760×body1280valid
192.0ms7896×body80valid
191.0ms1196×body640valid
56.0ms594×body320valid
17.0ms278×body160valid