Details

Time bar (total: 2.8s)

sample32.0ms

Algorithm
intervals
Results
12.0ms50×body1280valid
6.0ms47×body640valid
3.0ms130×body80valid
2.0ms18×body320valid
1.0ms11×body160valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2305
3525
41145
53225
616275
750025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
3.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
9.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series129.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
18.0ms
(+ 1.0 (exp (* -2.0 x)))
75.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify90.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0251494
1731465
22785460
35002460

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))
0.0b
(+ (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* 1.0 1.0))
0.0b
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
3.1b
(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
45×*-un-lft-identity
36×unpow-prod-down cube-prod
32×times-frac
24×difference-of-squares
21×add-cube-cbrt
11×sqr-pow
10×add-log-exp
7×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 distribute-lft-out--
4×flip3-+ associate-/r/ flip-+
3×pow-unpow
2×+-commutative associate-+l+ pow-exp sum-log div-inv rem-cube-cbrt
1×difference-cubes cbrt-undiv cube-div distribute-rgt-in cube-mult pow-to-exp sub-neg flip3-- pow-pow distribute-lft-in diff-log unpow3 div-exp flip--
Counts
4 → 123
Calls
4 calls:
9.0ms
(+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))
16.0ms
(+ (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* 1.0 1.0))
7.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
34.0ms
(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

series339.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))
101.0ms
(+ (* (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) (+ 1.0 (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) (* 1.0 1.0))
53.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
133.0ms
(- (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3) (pow 1.0 3))

simplify97.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06791593
128471425
250021399

prune316.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b
(* 0.33333333333333337 (pow x 3))
0.7b
(* 5.551115123125783e-17 (pow x 4))
8.2b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
2×pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
1×+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 flip-- flip-+ associate--r+
Counts
4 → 81
Calls
4 calls:
6.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
4.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series228.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
39.0ms
(* 0.33333333333333337 (pow x 3))
34.0ms
(* 5.551115123125783e-17 (pow x 4))
108.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify52.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0344493
11475459
25001459

prune201.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

98.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 29.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04629
14629

end0.0ms

sample868.0ms

Algorithm
intervals
Results
370.0ms1758×body1280valid
165.0ms1190×body640valid
112.0ms4126×body80valid
58.0ms615×body320valid
18.0ms311×body160valid