Details

Time bar (total: 2.9s)

sample74.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results
40.0ms114×body1280valid
17.0ms86×body640valid
3.0ms22×body320valid
2.0ms28×body160valid
0.0msbody80valid

simplify133.0ms

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: 58.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.6b
(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
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 (28.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune43.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
unpow-prod-down add-log-exp
add-cbrt-cube unswap-sqr
associate-*l* prod-exp
cube-prod sqr-pow
pow1 sum-log
pow-to-exp pow-exp *-commutative cbrt-unprod
+-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))
6.0ms
(* 1/3 (pow x 3))

series16.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0300375
11301346
25001346

prune123.0ms

Filtered
49 candidates to 78 candidates (-59.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh033
Picked101
Done000
Total78482

Merged error: 0.0b

Counts
82 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (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
unpow-prod-down
add-cbrt-cube unswap-sqr
associate-*l* prod-exp
add-log-exp
cube-prod sqr-pow
pow1
pow-to-exp pow-exp *-commutative cbrt-unprod
+-commutative cube-mult flip3-+ unpow3 sum-log flip-+
Counts
3 → 67
Calls
3 calls:
5.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series21.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0268317
11130291
25001290

prune116.0ms

Filtered
48 candidates to 76 candidates (-58.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0.0b

Counts
80 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (- (exp x) (exp (* -1 x))) 3)
0.1b
(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
6.6b
(- (exp x) (exp (* -1 x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
10×unpow-prod-down cube-prod
add-cube-cbrt
distribute-lft-out-- add-log-exp difference-of-squares
pow1 add-exp-log cube-div add-cbrt-cube
pow-unpow flip3-- flip--
cube-mult cbrt-div unpow3 sqr-pow
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:
5.0ms
(pow (- (exp x) (exp (* -1 x))) 3)
5.0ms
(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
4.0ms
(- (exp x) (exp (* -1 x)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(pow (- (exp x) (exp (* -1 x))) 3)
5.0ms
(cbrt (pow (- (exp x) (exp (* -1 x))) 3))
5.0ms
(- (exp x) (exp (* -1 x)))

simplify33.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0235617
1831587
25002571

prune87.0ms

Filtered
43 candidates to 79 candidates (-83.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New78179
Fresh202
Picked101
Done011
Total81283

Merged error: 0.0b

Counts
83 → 2

regimes29.0ms

Accuracy

0% (0.5b 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

sample2.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results
1.1s3419×body1280valid
497.0ms2467×body640valid
152.0ms1202×body320valid
50.0ms625×body160valid
12.0ms287×body80valid

Profiling

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