Details

Time bar (total: 3.1s)

sample37.0ms

Algorithm
intervals
Results
13.0ms52×body1280valid
5.0ms32×body640valid
5.0ms142×body80valid
2.0ms19×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

prune3.0ms

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: 26.7b

Counts
2 → 1

localize11.0ms

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)

rewrite19.0ms

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:
5.0ms
(/ 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)

series15.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.0ms
(+ 1.0 (exp (* -2.0 x)))
8.0ms
(- (/ 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
22771460
35002460

prune122.0ms

Filtered
69 candidates to 50 candidates (27.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270

Merged error: 0.0b

Counts
70 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
36×exp-prod
24×add-sqr-sqrt times-frac
22×add-cube-cbrt
20×log-pow
8×add-log-exp
7×distribute-lft-out
6×pow1 log-prod
4×add-exp-log associate-/r/ add-cbrt-cube
3×flip3-+ associate--l+ flip-+
2×div-inv distribute-lft-out--
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log flip-- rem-exp-log difference-of-squares
Counts
4 → 86
Calls
4 calls:
4.0ms
(+ (exp (* -2.0 x)) 1.0)
7.0ms
(log (exp (/ 2.0 (+ (exp (* -2.0 x)) 1.0))))
6.0ms
(exp (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))
16.0ms
(- (log (exp (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) 1.0)

series25.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (exp (* -2.0 x)) 1.0)
5.0ms
(log (exp (/ 2.0 (+ (exp (* -2.0 x)) 1.0))))
10.0ms
(exp (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))
8.0ms
(- (log (exp (/ 2.0 (+ (exp (* -2.0 x)) 1.0)))) 1.0)

simplify74.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0282665
1702607
22273593
35001592

prune166.0ms

Filtered
98 candidates to 72 candidates (26.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done000
Total982100

Merged error: 0.0b

Counts
100 → 2

localize10.0ms

Local error

Found 3 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))
8.4b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×add-log-exp
8×add-exp-log
7×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down cube-prod unswap-sqr
3×pow1 associate-*l* prod-exp
2×diff-log sum-log sqr-pow
1×+-commutative cube-mult pow-to-exp sub-neg flip3-- flip3-+ unpow3 pow-exp *-commutative flip-- cbrt-unprod flip-+ associate--r+
Counts
3 → 56
Calls
3 calls:
5.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms
(* 0.33333333333333337 (pow x 3))
4.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
4.0ms
(* 0.33333333333333337 (pow x 3))
11.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify44.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0275401
11164374
25001373

prune93.0ms

Filtered
65 candidates to 41 candidates (36.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh000
Picked011
Done011
Total64367

Merged error: 0.0b

Counts
67 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

8.4b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))
8.4b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))
11.8b
(- (pow (* 1.0 x) 3) (pow (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) 3))
50.3b
(/ (- (pow (* 1.0 x) 3) (pow (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) 3)) (+ (* (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) (+ (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) (* 1.0 x))) (* (* 1.0 x) (* 1.0 x))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
40×difference-of-squares
39×times-frac
32×*-un-lft-identity
30×sqr-pow
22×add-cube-cbrt
13×associate-/l*
10×unpow-prod-down cube-prod add-log-exp
6×add-exp-log add-cbrt-cube
5×difference-cubes distribute-lft-out--
4×pow1
3×flip3-+ associate-/r* flip-+
2×+-commutative flip3-- sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 116
Calls
4 calls:
4.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))
4.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))
10.0ms
(- (pow (* 1.0 x) 3) (pow (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) 3))
24.0ms
(/ (- (pow (* 1.0 x) 3) (pow (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) 3)) (+ (* (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) (+ (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) (* 1.0 x))) (* (* 1.0 x) (* 1.0 x))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))
9.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))
8.0ms
(- (pow (* 1.0 x) 3) (pow (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) 3))
20.0ms
(/ (- (pow (* 1.0 x) 3) (pow (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) 3)) (+ (* (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) (+ (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))) (* 1.0 x))) (* (* 1.0 x) (* 1.0 x))))

simplify106.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05713976
126093827
250023823

prune703.0ms

Filtered
128 candidates to 95 candidates (25.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh000
Picked101
Done022
Total1283131

Merged error: 0.0b

Counts
131 → 3

regimes253.0ms

Accuracy

97.2% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 29.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03716
13716

end0.0ms

sample1.1s

Algorithm
intervals
Results
423.0ms1704×body1280valid
205.0ms1206×body640valid
138.0ms4098×body80valid
76.0ms674×body320valid
23.0ms318×body160valid

Profiling

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