Details

Time bar (total: 4.1s)

sample38.0ms

Algorithm
intervals
Results
15.0ms63×body1280valid
6.0ms42×body640valid
4.0ms130×body80valid
2.0ms16×body320valid
0.0ms5×body160valid

simplify63.0ms

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: 29.7b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
1.8b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite24.0ms

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:
3.0ms
(+ 1.0 (exp (* -2.0 x)))
9.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series137.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ 1.0 (exp (* -2.0 x)))
37.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
84.0ms
(- (/ 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

prune134.0ms

Filtered
69 candidates to 50 candidates (72.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh000
Picked101
Done000
Total66470

Merged error: 0.0b

Counts
70 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
1.8b
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.8b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite36.0ms

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×log-pow
6×add-exp-log 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-+ exp-sum associate-/r/ flip-+ distribute-lft-out--
1×cbrt-undiv +-commutative log-div flip3-- frac-2neg exp-diff diff-log div-exp rem-log-exp clear-num sum-log flip-- div-inv
Counts
4 → 81
Calls
4 calls:
3.0ms
(+ 1.0 (exp (* -2.0 x)))
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
11.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
14.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series216.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ 1.0 (exp (* -2.0 x)))
37.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
80.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
82.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify102.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0291672
1849622
23009617
35002617

prune177.0ms

Filtered
93 candidates to 64 candidates (68.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh123
Picked011
Done000
Total93497

Merged error: 0.0b

Counts
97 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
1.8b
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
1.8b
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

rewrite53.0ms

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:
11.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
16.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
13.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

series889.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
83.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
355.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
366.0ms
(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0198932
1416850
21269842
35001838

prune251.0ms

Filtered
94 candidates to 66 candidates (70.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done011
Total94498

Merged error: 0.0b

Counts
98 → 4

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))
0.4b
(* 5.551115123125783e-17 (pow x 4))
7.0b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite28.0ms

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:
6.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
10.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
5.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
43.0ms
(* 0.33333333333333337 (pow x 3))
36.0ms
(* 5.551115123125783e-17 (pow x 4))
112.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0344493
11475459
25001459

prune166.0ms

Filtered
93 candidates to 58 candidates (62.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done022
Total93497

Merged error: 0.0b

Counts
97 → 4

regimes319.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03733
13733

end0.0ms

sample980.0ms

Algorithm
intervals
Results
410.0ms1733×body1280valid
200.0ms1268×body640valid
126.0ms4080×body80valid
72.0ms629×body320valid
24.0ms290×body160valid

Profiling

Loading profile data...