Details

Time bar (total: 4.2s)

sample35.0ms

Algorithm
intervals
Results
10.0ms44×body1280valid
8.0ms45×body640valid
4.0ms124×body80valid
3.0ms26×body320valid
1.0ms17×body160valid

simplify59.0ms

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: 30.8b

Counts
2 → 1

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)))
4.6b
(- (/ 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)

series136.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
19.0ms
(+ 1.0 (exp (* -2.0 x)))
81.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify90.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0251494
1731465
22771460
35002460

prune136.0ms

Filtered
69 candidates to 50 candidates (72.5%)
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 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
0.2b
(* 5.551115123125783e-17 (pow x 4))
8.0b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult flip3-+ unpow3 sum-log flip-+
Counts
3 → 67
Calls
3 calls:
6.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
7.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* 0.33333333333333337 (pow x 3))
39.0ms
(* 5.551115123125783e-17 (pow x 4))
106.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0268323
11157293
25001293

prune138.0ms

Filtered
76 candidates to 47 candidates (61.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done000
Total76379

Merged error: 0.0b

Counts
79 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(+ 1.0 (exp (* -2.0 x)))
0.5b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
4.6b
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
34×*-un-lft-identity
31×times-frac
21×sqrt-prod
20×add-cube-cbrt
10×add-log-exp
7×associate-/r* difference-of-squares
6×add-exp-log add-cbrt-cube distribute-lft-out
4×pow1
3×flip3-+ flip-+ associate-/l*
2×+-commutative sqrt-div sum-log associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv distribute-lft-out--
Counts
4 → 89
Calls
4 calls:
3.0ms
(+ 1.0 (exp (* -2.0 x)))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
6.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
62.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series187.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ 1.0 (exp (* -2.0 x)))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
70.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
80.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify195.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03201064
1949949
24186896
35002896

prune184.0ms

Filtered
101 candidates to 67 candidates (66.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done011
Total1013104

Merged error: 0.0b

Counts
104 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 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))))
0.0b
(pow (exp (* -2.0 x)) 3)
4.8b
(- (exp (* -2.0 x)) 1.0)
4.9b
(- (/ 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)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
217×*-un-lft-identity
210×times-frac
104×add-sqr-sqrt
93×add-cube-cbrt
60×distribute-lft-out
51×unpow-prod-down cube-prod
33×associate-/r*
12×sum-cubes
10×add-cbrt-cube
9×add-exp-log associate-/r/ add-log-exp
5×pow1 div-inv
4×flip3-+ flip-+ difference-of-squares
3×cbrt-undiv pow-unpow pow-pow div-exp associate-/l*
2×sub-neg flip3-- diff-log flip-- distribute-lft-out--
1×cube-mult pow-to-exp exp-prod exp-to-pow frac-2neg unpow3 pow-exp clear-num rem-cube-cbrt sqr-pow
Counts
4 → 205
Calls
4 calls:
24.0ms
(/ 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))))
3.0ms
(pow (exp (* -2.0 x)) 3)
4.0ms
(- (exp (* -2.0 x)) 1.0)
46.0ms
(- (/ 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)

series735.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(/ 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))))
36.0ms
(pow (exp (* -2.0 x)) 3)
27.0ms
(- (exp (* -2.0 x)) 1.0)
482.0ms
(- (/ 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)

simplify126.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08224635
138874495
250014491

prune474.0ms

Filtered
217 candidates to 122 candidates (56.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2161217
Fresh000
Picked011
Done022
Total2164220

Merged error: 0.0b

Counts
220 → 4

regimes218.0ms

Accuracy

99.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 31.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04938
14938

end0.0ms

sample1.0s

Algorithm
intervals
Results
420.0ms1662×body1280valid
213.0ms1272×body640valid
133.0ms4071×body80valid
75.0ms660×body320valid
25.0ms335×body160valid

Profiling

Loading profile data...