Details

Time bar (total: 3.0s)

sample72.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results
33.0ms102×body1280valid
15.0ms78×body640valid
5.0ms44×body320valid
2.0ms24×body160valid
0.0ms8×body80valid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72435
815635
950015

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.9b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.8b
(- (exp x) (exp (neg x)))

rewrite5.0ms

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 (neg x)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (exp x) (exp (neg x)))

simplify30.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune39.0ms

Filtered
14 candidates to 17 candidates (-21.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New13417
Fresh000
Picked101
Done000
Total14418

Merged error: 0.0b

Counts
18 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×associate-*r*
12×add-exp-log
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp add-cbrt-cube
4×cube-prod sqr-pow
2×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
1×cube-mult unpow3
Counts
2 → 56
Calls
2 calls:
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify183.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208209
1871193
24636193
35001193

prune94.0ms

Filtered
38 candidates to 62 candidates (-63.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh033
Picked011
Done000
Total62466

Merged error: 0.0b

Counts
66 → 4

localize13.0ms

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 (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
6.9b
(- (sqrt (exp x)) (sqrt (exp (neg x))))

rewrite31.0ms

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))
17.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
7.0ms
(- (sqrt (exp x)) (sqrt (exp (neg x))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (exp x))
3.0ms
(sqrt (exp x))
18.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
8.0ms
(- (sqrt (exp x)) (sqrt (exp (neg x))))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0282989
11217868
25001843

prune94.0ms

Filtered
69 candidates to 100 candidates (-44.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh202
Picked011
Done011
Total1004104

Merged error: 0.0b

Counts
104 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (- (exp x) (exp (neg x))) 3)
0.3b
(cbrt (pow (- (exp x) (exp (neg x))) 3))
6.8b
(- (exp x) (exp (neg x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
10×unpow-prod-down cube-prod
9×add-cube-cbrt
5×distribute-lft-out-- add-log-exp difference-of-squares
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 70
Calls
3 calls:
6.0ms
(pow (- (exp x) (exp (neg x))) 3)
6.0ms
(cbrt (pow (- (exp x) (exp (neg x))) 3))
5.0ms
(- (exp x) (exp (neg x)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(pow (- (exp x) (exp (neg x))) 3)
5.0ms
(cbrt (pow (- (exp x) (exp (neg x))) 3))
5.0ms
(- (exp x) (exp (neg x)))

simplify35.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0246617
1885579
25001568

prune66.0ms

Filtered
41 candidates to 79 candidates (-92.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New78179
Fresh101
Picked011
Done022
Total79483

Merged error: 0b

Counts
83 → 4

regimes67.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results
1.1s3454×body1280valid
467.0ms2403×body640valid
155.0ms1228×body320valid
53.0ms664×body160valid
10.0ms251×body80valid
0.0ms1×body80invalid

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