Details

Time bar (total: 4.8s)

sample77.0ms

Algorithm
intervals
Results
37.0ms117×body1280valid
15.0ms74×body640valid
8.0ms267×body80valid
5.0ms38×body320valid
1.0ms16×body160valid

simplify225.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72505
812525
950015

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: 57.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b
(- (exp x) (exp (- x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
5.0ms
(- (exp x) (exp (- x)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- (exp x) (exp (- x)))

simplify583.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0100120
1257108
2763107
34896105
45001105

prune46.0ms

Filtered
17 candidates to 14 candidates (82.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New13417
Fresh000
Picked101
Done000
Total14418

Merged error: 0.0b

Counts
18 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite22.0ms

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 add-log-exp
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
4×cube-prod sqr-pow
3×pow1 sum-log
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult associate-+r+ flip3-+ unpow3 flip-+
Counts
3 → 69
Calls
3 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
7.0ms
(* 1/3 (pow x 3))

series146.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
51.0ms
(* 1/60 (pow x 5))
36.0ms
(* 1/3 (pow x 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0300375
11301346
25001346

prune139.0ms

Filtered
78 candidates to 49 candidates (62.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done000
Total78482

Merged error: 0.0b

Counts
82 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp x))
0.0b
(sqrt (exp x))
0.0b
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
4.4b
(- (sqrt (exp x)) (sqrt (exp (- x))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×*-un-lft-identity
20×sqrt-prod
10×add-cube-cbrt
9×associate-*r*
8×pow1 sqrt-pow1 difference-of-squares
6×add-exp-log exp-prod add-cbrt-cube add-log-exp
5×associate-*l*
4×frac-times flip3-- flip-- distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×distribute-rgt-in rem-sqrt-square distribute-lft-in pow1/2 associate-*r/ associate-*l/ distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (exp x))
2.0ms
(sqrt (exp x))
18.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
7.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))

series213.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (exp x))
16.0ms
(sqrt (exp x))
125.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
60.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0282991
11213872
25002843

prune205.0ms

Filtered
100 candidates to 69 candidates (69.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh112
Picked011
Done011
Total1004104

Merged error: 0.0b

Counts
104 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp x))
0.0b
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (+ (* 1/24 (pow x 3)) (+ (* 1/1920 (pow x 5)) x)))
0.0b
(* 1/1920 (pow x 5))
0.1b
(* 1/24 (pow x 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×associate-*r*
19×*-un-lft-identity
16×add-exp-log
15×add-cube-cbrt
11×associate-*l*
10×add-cbrt-cube
8×unpow-prod-down unswap-sqr
7×pow1 prod-exp
6×flip3-+ flip-+
5×sqrt-prod
4×frac-times sqrt-pow1 cube-prod add-log-exp sqr-pow
3×exp-prod *-commutative cbrt-unprod
2×pow-to-exp associate-*r/ associate-*l/ pow-exp distribute-lft-out
1×distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in pow1/2 unpow3 pow-prod-down
Counts
4 → 102
Calls
4 calls:
2.0ms
(sqrt (exp x))
17.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (+ (* 1/24 (pow x 3)) (+ (* 1/1920 (pow x 5)) x)))
5.0ms
(* 1/1920 (pow x 5))
7.0ms
(* 1/24 (pow x 3))

series220.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (exp x))
117.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (+ (* 1/24 (pow x 3)) (+ (* 1/1920 (pow x 5)) x)))
52.0ms
(* 1/1920 (pow x 5))
39.0ms
(* 1/24 (pow x 3))

simplify92.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0610932
13030853
25002853

prune332.0ms

Filtered
114 candidates to 77 candidates (67.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh011
Picked101
Done022
Total1144118

Merged error: 0b

Counts
118 → 4

regimes46.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s3295×body1280valid
494.0ms2544×body640valid
248.0ms8222×body80valid
152.0ms1230×body320valid
53.0ms664×body160valid

Profiling

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