Details

Time bar (total: 5.3s)

sample44.0ms

Algorithm
intervals
Results
17.0ms49×body1280valid
9.0ms37×body640valid
6.0ms141×body80valid
3.0ms16×body320valid
1.0ms13×body160valid

simplify60.0ms

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: 26.9b

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)))
3.8b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite44.0ms

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:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
34.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series139.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms
(+ 1.0 (exp (* -2.0 x)))
84.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify93.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0251494
1731465
22785460
35002460

prune156.0ms

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
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
0.0b
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
3.8b
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
62×add-sqr-sqrt times-frac
48×cbrt-prod
47×add-cube-cbrt
38×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×difference-of-squares
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
4×associate-/r*
3×pow-unpow associate-/l* sqr-pow
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg cbrt-div flip3-- pow-pow frac-2neg pow1/3 diff-log clear-num flip-- rem-cbrt-cube distribute-lft-out--
Counts
4 → 161
Calls
4 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
9.0ms
(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
8.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
101.0ms
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

series218.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
37.0ms
(cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))
57.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)
83.0ms
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)) 1.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05221569
121571433
250031424

prune284.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0)) (- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0)))
0.3b
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)))
0.3b
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)))
4.1b
(- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0))

rewrite805.0ms

Algorithm
rewrite-expression-head
Rules
124×sqrt-prod
118×cbrt-prod
112×add-sqr-sqrt
72×*-un-lft-identity
56×times-frac
44×unpow-prod-down cube-prod
42×add-cube-cbrt
32×difference-of-squares
20×associate-*r*
13×distribute-lft-out
8×associate-/r/
7×flip3-+ flip-+
6×pow1 add-exp-log add-cbrt-cube add-log-exp sqr-pow
4×frac-times flip3-- associate-*l* flip-- div-inv
3×sub-neg
2×cube-div distribute-rgt-in cube-mult cbrt-div distribute-lft-in pow1/3 sqrt-div unpow3 associate-*r/ associate-*l/ distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 185
Calls
4 calls:
653.0ms
(* (+ (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0)) (- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0)))
12.0ms
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)))
10.0ms
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)))
120.0ms
(- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0))

series617.0ms

Counts
4 → 12
Calls
4 calls:
391.0ms
(* (+ (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0)) (- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0)))
55.0ms
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)))
54.0ms
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3)))
116.0ms
(- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 3))) (sqrt 1.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06853534
127653357
250013353

prune469.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

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))
0.4b
(* 5.551115123125783e-17 (pow x 4))
10.2b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite22.0ms

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))
3.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
37.0ms
(* 0.33333333333333337 (pow x 3))
38.0ms
(* 5.551115123125783e-17 (pow x 4))
107.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0344493
11475459
25001459

prune195.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes247.0ms

Accuracy

94.7% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 29.3b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04235
14235

end0.0ms

sample1.3s

Algorithm
intervals
Results
540.0ms1702×body1280valid
281.0ms1238×body640valid
181.0ms4101×body80valid
106.0ms661×body320valid
33.0ms298×body160valid