Details

Time bar (total: 4.2s)

sample37.0ms

Algorithm
intervals
Results
14.0ms57×body1280valid
6.0ms35×body640valid
4.0ms138×body80valid
2.0ms12×body320valid
1.0ms14×body160valid

simplify62.0ms

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: 27.6b

Counts
2 → 1

localize7.0ms

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)))
3.5b
(- (/ 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:
9.0ms
(/ 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)

series132.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
20.0ms
(+ 1.0 (exp (* -2.0 x)))
77.0ms
(- (/ 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

prune132.0ms

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 4 expressions with local error:

0.0b
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
3.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
13×*-un-lft-identity
10×add-log-exp
8×difference-of-squares
6×cbrt-prod
5×add-cube-cbrt
4×pow1 add-exp-log flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 61
Calls
4 calls:
9.0ms
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
13.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series426.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
78.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
79.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
80.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify59.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0182717
1431663
21641624
35002613

prune178.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh022
Picked101
Done000
Total73376

Merged error: 0.0b

Counts
76 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
3.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.5b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
4.0b
(- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
26×sqrt-prod
24×difference-of-squares
18×times-frac
16×*-un-lft-identity
14×associate-*r*
10×add-log-exp
6×pow1 add-exp-log add-cube-cbrt flip3-- add-cbrt-cube flip--
5×sub-neg
4×frac-times associate-*l* distribute-lft-out--
3×flip3-+ diff-log flip-+
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 95
Calls
4 calls:
50.0ms
(* (+ (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
10.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
9.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
26.0ms
(- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

series654.0ms

Counts
4 → 12
Calls
4 calls:
383.0ms
(* (+ (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
77.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
77.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
116.0ms
(- (/ (sqrt 2.0) (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04141851
117871713
250021700

prune318.0ms

Filtered
107 candidates to 68 candidates (63.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done000
Total1073110

Merged error: 0.0b

Counts
110 → 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)))
0.4b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
3.5b
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite79.0ms

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)))))
64.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series185.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ 1.0 (exp (* -2.0 x)))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
71.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
82.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify134.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
03201064
1949950
24569897
35001897

prune184.0ms

Filtered
101 candidates to 67 candidates (66.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh011
Picked011
Done011
Total1004104

Merged error: 0.0b

Counts
104 → 4

regimes253.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 29.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05041
15041

end0.0ms

sample1.0s

Algorithm
intervals
Results
425.0ms1731×body1280valid
202.0ms1202×body640valid
128.0ms4071×body80valid
74.0ms664×body320valid
24.0ms332×body160valid

Profiling

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