Details

Time bar (total: 3.0s)

sample32.0ms

Algorithm
intervals
Results
12.0ms56×body1280valid
5.0ms41×body640valid
4.0ms135×body80valid
2.0ms18×body320valid
0.0ms6×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
1.7b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite20.0ms

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:
8.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series113.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
74.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify58.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0220413
1613391
22032387
35001387

prune121.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New51354
Fresh000
Picked101
Done000
Total52355

Merged error: 0.0b

Counts
55 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
1.7b
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

rewrite38.0ms

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:
10.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
24.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

series113.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
78.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0217413
1587391
22012386
35001386

prune99.0ms

Filtered
54 candidates to 37 candidates (68.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54054
Fresh022
Picked011
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
1.7b
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.7b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite32.0ms

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:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
14.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series194.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
79.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
78.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0260591
1712548
22189544
35001544

prune167.0ms

Filtered
78 candidates to 54 candidates (69.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0.0b

Counts
81 → 3

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))
0.2b
(* 5.551115123125783e-17 (pow x 4))
6.4b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite27.0ms

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:
9.0ms
(- (* 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)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
38.0ms
(* 0.33333333333333337 (pow x 3))
34.0ms
(* 5.551115123125783e-17 (pow x 4))
102.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0344493
11475459
25001459

prune176.0ms

Filtered
93 candidates to 58 candidates (62.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done022
Total93396

Merged error: 0.0b

Counts
96 → 3

regimes204.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 29.1b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03621
13621

end0.0ms

sample1.1s

Algorithm
intervals
Results
442.0ms1721×body1280valid
216.0ms1240×body640valid
138.0ms4123×body80valid
66.0ms578×body320valid
25.0ms338×body160valid