Details

Time bar (total: 4.5s)

sample36.0ms

Algorithm
intervals
Results
15.0ms59×body1280valid
4.0ms34×body640valid
3.0ms130×body80valid
2.0ms23×body320valid
1.0ms10×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: 30.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
Counts
2 → 48
Calls
2 calls:
15.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
69.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series119.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
81.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify61.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0220413
1613391
22032387
35001387

prune121.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.0b
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
24×add-sqr-sqrt
14×add-cube-cbrt times-frac
7×log-pow
6×exp-prod
5×add-exp-log log-prod add-cbrt-cube add-log-exp
4×pow1 associate-/r* distribute-lft-out difference-of-squares
3×associate-/l*
2×sub-neg exp-sum associate-/r/ distribute-lft-out--
1×cbrt-undiv log-div flip3-- frac-2neg flip3-+ exp-diff diff-log div-exp rem-log-exp clear-num flip-- flip-+ div-inv
Counts
3 → 69
Calls
3 calls:
15.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
67.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
151.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
76.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
78.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0260591
1714548
22191544
35001544

prune173.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

3.0b
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
3.0b
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
3.0b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.0b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
18×*-un-lft-identity log-pow
16×log-prod
14×sqrt-pow1
12×exp-prod
10×add-cube-cbrt sqrt-prod
8×pow1 add-log-exp difference-of-squares
6×add-exp-log
4×sub-neg times-frac exp-sum add-cbrt-cube distribute-lft-out--
2×log-div flip3-- pow1/2 exp-diff sqrt-div diff-log rem-log-exp flip--
Counts
4 → 82
Calls
4 calls:
151.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
151.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
68.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
69.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series832.0ms

Counts
4 → 12
Calls
4 calls:
341.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
331.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
79.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
80.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify49.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0198932
1416850
21269842
35001838

prune296.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))
0.2b
(* 5.551115123125783e-17 (pow x 4))
8.8b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite55.0ms

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:
18.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
13.0ms
(* 0.33333333333333337 (pow x 3))
12.0ms
(* 5.551115123125783e-17 (pow x 4))
10.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
42.0ms
(* 0.33333333333333337 (pow x 3))
37.0ms
(* 5.551115123125783e-17 (pow x 4))
111.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify57.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0344493
11475459
25001459

prune193.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

98.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 29.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03926
13926

end0.0ms

sample922.0ms

Algorithm
intervals
Results
358.0ms1741×body1280valid
176.0ms1269×body640valid
106.0ms4078×body80valid
58.0ms621×body320valid
17.0ms291×body160valid