Details

Time bar (total: 2.2s)

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 100%

sample35.0ms

Algorithm
intervals
Results
14.0ms57×body1280valid
7.0ms39×body640valid
4.0ms131×body80valid
2.0ms16×body320valid
1.0ms13×body160valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2305
3525
41145
53225
616275
750025

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.3b

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

rewrite20.0ms

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)

series17.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.0ms
(+ 1.0 (exp (* -2.0 x)))
9.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify93.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0251494
1731465
22771460
35002460

prune119.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270

Merged error: 0b

Counts
70 → 2

localize9.0ms

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)))
0.0b
(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
2.9b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
31×add-sqr-sqrt
18×cbrt-prod
16×add-cube-cbrt
15×times-frac
8×add-log-exp
6×add-exp-log unpow-prod-down cube-prod add-cbrt-cube difference-of-squares
5×distribute-lft-out
4×pow1 associate-/r*
3×associate-/l* distribute-lft-out--
2×cube-div cbrt-div flip3-- flip3-+ associate-/r/ flip-- flip-+
1×cbrt-undiv +-commutative cube-mult sub-neg frac-2neg pow1/3 diff-log unpow3 div-exp clear-num sum-log rem-cbrt-cube div-inv sqr-pow
Counts
4 → 89
Calls
4 calls:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
12.0ms
(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series24.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.0ms
(+ 1.0 (exp (* -2.0 x)))
8.0ms
(cbrt (pow (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) 3))
8.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0356817
11255797
25001788

prune160.0ms

Filtered
66 candidates to 101 candidates (-53.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done000
Total1012103

Merged error: 0b

Counts
103 → 2

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))
8.6b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite26.0ms

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))))
6.0ms
(* 0.33333333333333337 (pow x 3))
7.0ms
(* 5.551115123125783e-17 (pow x 4))
4.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
4.0ms
(* 0.33333333333333337 (pow x 3))
4.0ms
(* 5.551115123125783e-17 (pow x 4))
10.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify52.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0344493
11475459
25001459

prune127.0ms

Filtered
58 candidates to 93 candidates (-60.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done011
Total93295

Merged error: 0b

Counts
95 → 2

regimes326.0ms

Accuracy

98.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 29.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03716
13716

end0.0ms

analyze1.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 100%

sample999.0ms

Algorithm
intervals
Results
414.0ms1694×body1280valid
209.0ms1211×body640valid
138.0ms4126×body80valid
75.0ms645×body320valid
24.0ms324×body160valid

Profiling

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