Details

Time bar (total: 2.9s)

sample36.0ms

Algorithm
intervals
Results
14.0ms59×body1280valid
7.0ms42×body640valid
4.0ms127×body80valid
2.0ms16×body320valid
1.0ms12×body160valid

simplify58.0ms

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: 29.9b

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)))
2.7b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite23.0ms

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:
8.0ms
(/ 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)

series130.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
18.0ms
(+ 1.0 (exp (* -2.0 x)))
75.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify93.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0251494
1731465
22771460
35002460

prune125.0ms

Filtered
69 candidates to 50 candidates (72.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270

Merged error: 0.0b

Counts
70 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.5b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.7b
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
388×times-frac
304×*-un-lft-identity
229×sqrt-prod
212×add-sqr-sqrt
188×add-cube-cbrt
57×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
10×div-inv
8×add-log-exp
7×difference-of-squares
4×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num
1×+-commutative sub-neg flip3-- diff-log sum-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 317
Calls
4 calls:
3.0ms
(+ 1.0 (exp (* -2.0 x)))
16.0ms
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
6.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
64.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series199.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ 1.0 (exp (* -2.0 x)))
35.0ms
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
66.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
79.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify93.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07875699
127915067
250024914

prune530.0ms

Filtered
329 candidates to 142 candidates (43.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3290329
Fresh011
Picked011
Done000
Total3292331

Merged error: 0.0b

Counts
331 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
0.2b
(* 5.551115123125783e-17 (pow x 4))
11.0b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite17.0ms

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

series174.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 0.33333333333333337 (pow x 3))
37.0ms
(* 5.551115123125783e-17 (pow x 4))
102.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0268323
11157293
25001293

prune134.0ms

Filtered
76 candidates to 47 candidates (61.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done011
Total76278

Merged error: 0.0b

Counts
78 → 2

regimes130.0ms

Accuracy

98.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 29.9b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03720
13720

end0.0ms

sample977.0ms

Algorithm
intervals
Results
421.0ms1776×body1280valid
191.0ms1198×body640valid
127.0ms4084×body80valid
68.0ms641×body320valid
20.0ms301×body160valid

Profiling

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