Details

Time bar (total: 3.3s)

sample72.0ms

Algorithm
intervals
Results
34.0ms111×body1280valid
14.0ms72×body640valid
7.0ms234×body80valid
4.0ms36×body320valid
2.0ms24×body160valid

simplify136.0ms

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: 56.7b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.3b
(- (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)))

simplify29.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune44.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New13417
Fresh000
Picked011
Done000
Total13518

Merged error: 0.0b

Counts
18 → 5

localize10.0ms

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))

rewrite20.0ms

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:
7.0ms
(+ (* 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))

series15.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0300375
11301346
25001346

prune111.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0.0b

Counts
83 → 5

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))
7.3b
(- (exp x) (exp (* -1 x)))

rewrite16.0ms

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:
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)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(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 (25.0ms)

IterNodesCost
0235617
1831587
25002571

prune86.0ms

Filtered
42 candidates to 79 candidates (-88.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New78179
Fresh112
Picked011
Done022
Total79584

Merged error: 0.0b

Counts
84 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
0.0b
(* (exp x) (- (exp x) (pow (exp x) -3)))
0.1b
(pow (exp x) -3)
7.1b
(- (exp x) (pow (exp x) -3))

rewrite34.0ms

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:
14.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
9.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms
(pow (exp x) -3)
6.0ms
(- (exp x) (pow (exp x) -3))

series59.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
15.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
7.0ms
(pow (exp x) -3)
11.0ms
(- (exp x) (pow (exp x) -3))

simplify62.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0420889
12061787
25001784

prune115.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1012103
Fresh101
Picked101
Done033
Total1035108

Merged error: 0.0b

Counts
108 → 5

regimes105.0ms

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

sample2.3s

Algorithm
intervals
Results
1.1s3407×body1280valid
475.0ms2466×body640valid
241.0ms8031×body80valid
152.0ms1253×body320valid
48.0ms617×body160valid

Profiling

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