Details

Time bar (total: 4.8s)

sample33.0ms

Algorithm
intervals
Results
12.0ms56×body1280valid
6.0ms38×body640valid
4.0ms133×body80valid
2.0ms19×body320valid
1.0ms10×body160valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2305
3525
41145
53225
616185
750015

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.3b

Counts
2 → 1

localize7.0ms

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)))
2.9b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite27.0ms

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:
7.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
5.0ms
(+ 1.0 (exp (* -2.0 x)))
14.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series144.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms
(+ 1.0 (exp (* -2.0 x)))
89.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify87.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0245494
1714465
22677460
35002460

prune122.0ms

Filtered
69 candidates to 50 candidates (27.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New66369
Fresh000
Picked101
Done000
Total67370

Merged error: 0.0b

Counts
70 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
2.9b
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
2.9b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
25×add-sqr-sqrt
15×add-cube-cbrt
14×times-frac
8×add-log-exp
7×add-exp-log log-pow
6×exp-prod add-cbrt-cube
5×pow1 log-prod distribute-lft-out
4×associate-/r* difference-of-squares
3×associate-/l*
2×sub-neg flip3-+ rem-log-exp exp-sum associate-/r/ flip-+ distribute-lft-out--
1×cbrt-undiv +-commutative log-div flip3-- frac-2neg exp-diff diff-log div-exp clear-num sum-log flip-- div-inv
Counts
4 → 82
Calls
4 calls:
7.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
5.0ms
(+ 1.0 (exp (* -2.0 x)))
13.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
14.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series230.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
17.0ms
(+ 1.0 (exp (* -2.0 x)))
90.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
85.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify91.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0285672
1829622
22899617
35001617

prune170.0ms

Filtered
94 candidates to 65 candidates (30.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh112
Picked011
Done000
Total94397

Merged error: 0.0b

Counts
97 → 3

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))))
0.0b
(* 0.33333333333333337 (pow x 3))
0.2b
(* 5.551115123125783e-17 (pow x 4))
7.4b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
25×add-sqr-sqrt
23×associate-*l*
15×associate-*r*
14×add-exp-log
12×distribute-lft-out
11×add-log-exp
10×add-cube-cbrt distribute-lft-out--
8×pow1 unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×prod-exp
4×sqr-pow
2×+-commutative pow-to-exp diff-log pow-prod-down pow-exp sum-log *-commutative cbrt-unprod associate--r+ difference-of-squares
1×sub-neg flip3-- flip3-+ unpow3 flip-- flip-+
Counts
4 → 95
Calls
4 calls:
35.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms
(* 0.33333333333333337 (pow x 3))
6.0ms
(* 5.551115123125783e-17 (pow x 4))
23.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
38.0ms
(* 0.33333333333333337 (pow x 3))
43.0ms
(* 5.551115123125783e-17 (pow x 4))
115.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0342612
11386584
25001584

prune167.0ms

Filtered
107 candidates to 61 candidates (43.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0.0b

Counts
110 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))
2.9b
(log (exp (- (/ 2.0 (/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))) 1.0)))
2.9b
(- (/ 2.0 (/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))) 1.0)
2.9b
(- (exp (* -2.0 x)) 1.0)

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
69×times-frac
56×distribute-lft-out
44×add-sqr-sqrt
40×associate-*l*
32×pow-unpow sum-cubes
24×add-cube-cbrt
16×unpow-prod-down
9×associate-/l*
8×log-pow add-log-exp
7×add-exp-log exp-prod associate-/r* difference-of-squares
6×add-cbrt-cube
5×pow1 log-prod
3×sub-neg distribute-lft-out--
2×flip3-- flip3-+ diff-log rem-log-exp exp-sum associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv log-div frac-2neg exp-diff div-exp clear-num div-inv
Counts
4 → 148
Calls
4 calls:
45.0ms
(/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))
114.0ms
(log (exp (- (/ 2.0 (/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))) 1.0)))
127.0ms
(- (/ 2.0 (/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))) 1.0)
7.0ms
(- (exp (* -2.0 x)) 1.0)

series1.3s

Counts
4 → 12
Calls
4 calls:
139.0ms
(/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))
485.0ms
(log (exp (- (/ 2.0 (/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))) 1.0)))
682.0ms
(- (/ 2.0 (/ (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)) (+ (* (exp (* -2.0 x)) (- (exp (* -2.0 x)) 1.0)) (* 1.0 1.0)))) 1.0)
34.0ms
(- (exp (* -2.0 x)) 1.0)

simplify74.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05283134
119082966
250022961

prune299.0ms

Filtered
160 candidates to 82 candidates (48.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1591160
Fresh000
Picked101
Done022
Total1603163

Merged error: 0.0b

Counts
163 → 3

regimes253.0ms

Accuracy

98.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 29.5b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03716
13716

end0.0ms

sample908.0ms

Algorithm
intervals
Results
372.0ms1688×body1280valid
187.0ms1249×body640valid
110.0ms4071×body80valid
64.0ms643×body320valid
22.0ms349×body160valid