Details

Time bar (total: 3.3s)

sample76.0ms

Algorithm
intervals
Results
31.0ms100×body1280valid
17.0ms87×body640valid
9.0ms295×body80valid
5.0ms41×body320valid
1.0ms19×body160valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72435
815635
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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:

5.8b
(- (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)))

simplify33.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune41.0ms

Filtered
17 candidates to 14 candidates (17.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0.0b

Counts
18 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

series14.0ms

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))
4.0ms
(* 1/3 (pow x 3))

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0300375
11301346
25001346

prune115.0ms

Filtered
78 candidates to 49 candidates (37.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh022
Picked011
Done000
Total77481

Merged error: 0.0b

Counts
81 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.0b
(* 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
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult flip3-+ unpow3 sum-log flip-+
Counts
3 → 67
Calls
3 calls:
4.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series20.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
4.0ms
(* 1/60 (pow x 5))
4.0ms
(* 1/3 (pow x 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0268317
11130291
25001290

prune107.0ms

Filtered
76 candidates to 48 candidates (36.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0.0b

Counts
80 → 4

localize12.0ms

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)
5.7b
(- (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))))
10.0ms
(* (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:
29.0ms
(/ (* (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)
9.0ms
(- (exp x) (pow (exp x) -3))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0420889
12061787
25001784

prune116.0ms

Filtered
103 candidates to 73 candidates (29.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done022
Total1034107

Merged error: 0.0b

Counts
107 → 4

regimes32.0ms

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

sample2.3s

Algorithm
intervals
Results
1.1s3368×body1280valid
481.0ms2446×body640valid
240.0ms7997×body80valid
162.0ms1293×body320valid
50.0ms632×body160valid

Profiling

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