Details

Time bar (total: 2.7s)

sample52.0ms

Algorithm
intervals
Results
21.0ms128×body1280valid
7.0ms71×body640valid
7.0ms37×body320valid
4.0ms391×pre80true
2.0ms143×body80valid
0.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
172
272

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: 58.5b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.7b
(- (exp x) 1.0)

rewrite4.0ms

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:
4.0ms
(- (exp x) 1.0)

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- (exp x) 1.0)

simplify55.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune36.0ms

Filtered
17 candidates to 12 candidates (29.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0.1b

Counts
18 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b
(* x 1/6)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
9×add-exp-log
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-cbrt-cube
5×unswap-sqr
4×pow1 unpow-prod-down prod-exp
2×associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series8.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms
(* x 1/6)

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0247238
11168215
25001215

prune62.0ms

Filtered
55 candidates to 35 candidates (36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh022
Picked011
Done000
Total55358

Merged error: 0.1b

Counts
58 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b
(pow (exp x) 3)
3.6b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt
90×*-un-lft-identity
80×difference-of-squares
75×times-frac
63×unpow-prod-down cube-prod
41×sqr-pow
38×add-cube-cbrt
25×associate-/l* distribute-lft-out--
8×add-log-exp
7×add-cbrt-cube
6×add-exp-log
5×pow1 difference-cubes
4×pow-pow
3×pow-unpow exp-prod associate-/r*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative cube-mult pow-to-exp sub-neg frac-2neg diff-log unpow3 div-sub div-exp pow-exp clear-num sum-log div-inv distribute-lft-out rem-cube-cbrt
Counts
4 → 192
Calls
4 calls:
3.0ms
(+ 1.0 (exp x))
24.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms
(pow (exp x) 3)
11.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series29.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ 1.0 (exp x))
18.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
4.0ms
(pow (exp x) 3)
5.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify101.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06052945
126782881
250012803

prune258.0ms

Filtered
204 candidates to 108 candidates (47.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2031204
Fresh101
Picked011
Done011
Total2043207

Merged error: 0.1b

Counts
207 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3/2)
0.0b
(pow (exp x) 3/2)
0.0b
(/ (- (pow (exp x) 3/2) (pow 1.0 3/2)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.6b
(- (pow (exp x) 3/2) (pow 1.0 3/2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
49×*-un-lft-identity
46×unpow-prod-down
45×difference-of-squares
42×times-frac
32×sqr-pow
29×add-cube-cbrt
14×associate-/l*
10×distribute-lft-out--
8×pow-pow
6×pow1 add-exp-log pow-unpow exp-prod add-cbrt-cube add-log-exp
3×associate-/r*
2×pow-to-exp flip3-- pow-exp associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 139
Calls
4 calls:
3.0ms
(pow (exp x) 3/2)
3.0ms
(pow (exp x) 3/2)
17.0ms
(/ (- (pow (exp x) 3/2) (pow 1.0 3/2)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
9.0ms
(- (pow (exp x) 3/2) (pow 1.0 3/2))

series96.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow (exp x) 3/2)
14.0ms
(pow (exp x) 3/2)
41.0ms
(/ (- (pow (exp x) 3/2) (pow 1.0 3/2)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
27.0ms
(- (pow (exp x) 3/2) (pow 1.0 3/2))

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05421919
118771859
250021859

prune420.0ms

Filtered
151 candidates to 123 candidates (18.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh000
Picked011
Done022
Total1513154

Merged error: 0.1b

Counts
154 → 3

regimes27.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.3s

Algorithm
intervals
Results
547.0ms3463×body1280valid
237.0ms2486×body640valid
120.0ms11902×pre80true
77.0ms1238×body320valid
57.0ms4075×body80valid
25.0ms640×body160valid

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