Details

Time bar (total: 3.0s)

analyze4.0ms

Algorithm
search

sample63.0ms

Algorithm
intervals
Results
36.0ms113×body1280valid
15.0ms76×body640valid
4.0ms35×body320valid
2.0ms21×body160valid
0.0ms11×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72435
815635
950015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.5b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

5.5b
(- (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)))

simplify33.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune42.0ms

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

localize14.0ms

Local error

Found 4 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)) (* 2 x))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×cube-mult associate-+r+ unpow3
Counts
4 → 80
Calls
4 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms
(* 1/60 (pow x 5))
7.0ms
(* 1/3 (pow x 3))

series28.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
12.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0354458
11537429
25002428

prune141.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh033
Picked011
Done000
Total92496

Merged error: 0.0b

Counts
96 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (exp x))
5.5b
(+ (exp x) (/ -1 (exp x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/r* associate-/l*
2×pow1
1×cbrt-undiv +-commutative frac-2neg flip3-+ div-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
2 → 39
Calls
2 calls:
4.0ms
(/ -1 (exp x))
7.0ms
(+ (exp x) (/ -1 (exp x)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ -1 (exp x))
7.0ms
(+ (exp x) (/ -1 (exp x)))

simplify152.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0186233
1631210
23511204
35001204

prune45.0ms

Filtered
31 candidates to 45 candidates (-45.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh022
Picked011
Done011
Total45449

Merged error: 0.0b

Counts
49 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (- (exp x) (pow (exp x) -3)))
0.1b
(pow (exp x) -3)
0.2b
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
5.5b
(- (exp x) (pow (exp x) -3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
11×add-cube-cbrt add-cbrt-cube
9×add-exp-log
7×pow1 associate-*r*
6×add-log-exp difference-of-squares
5×unpow-prod-down
4×pow-pow times-frac associate-*r/ associate-/r*
3×sub-neg pow-unpow exp-prod flip3-- associate-*l* flip-- sqr-pow
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×pow-to-exp frac-2neg flip3-+ diff-log pow-prod-down pow-exp clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 91
Calls
4 calls:
10.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms
(pow (exp x) -3)
14.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
6.0ms
(- (exp x) (pow (exp x) -3))

series61.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
7.0ms
(pow (exp x) -3)
29.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
10.0ms
(- (exp x) (pow (exp x) -3))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0420889
12061787
25001784

prune121.0ms

Filtered
73 candidates to 103 candidates (-41.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh011
Picked101
Done022
Total1034107

Merged error: 0.0b

Counts
107 → 4

regimes63.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

analyze4.0ms

Algorithm
search

sample1.9s

Algorithm
intervals
Results
1.1s3446×body1280valid
470.0ms2395×body640valid
151.0ms1212×body320valid
48.0ms619×body160valid
13.0ms328×body80valid
0.0ms1×body80invalid

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