Details

Time bar (total: 2.9s)

analyze3.0ms

Algorithm
search

sample37.0ms

Algorithm
intervals
Results
17.0ms104×body1280valid
9.0ms93×body640valid
3.0ms256×pre80true
2.0ms36×body320valid
1.0ms19×body160valid
0.0ms4×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.5b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.3b
(- (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)

simplify53.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune34.0ms

Filtered
12 candidates to 17 candidates (-41.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize6.0ms

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)

simplify44.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0247238
11168215
25001215

prune65.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done000
Total55257

Merged error: 0.0b

Counts
57 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp x))
0.0b
(sqrt (exp x))
0.0b
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
5.4b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×*-un-lft-identity
20×sqrt-prod
10×add-cube-cbrt
9×associate-*r*
8×pow1 sqrt-pow1 difference-of-squares
6×add-exp-log exp-prod add-cbrt-cube add-log-exp
5×associate-*l*
4×frac-times flip3-- flip-- distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×distribute-rgt-in rem-sqrt-square distribute-lft-in pow1/2 associate-*r/ associate-*l/ distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (exp x))
2.0ms
(sqrt (exp x))
17.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
6.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (exp x))
3.0ms
(sqrt (exp x))
10.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
4.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0250730
11091643
25001617

prune128.0ms

Filtered
68 candidates to 100 candidates (-47.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked101
Done011
Total1002102

Merged error: 0.0b

Counts
102 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (exp x)) 3)
0.0b
(* (+ (sqrt (exp x)) (sqrt 1.0)) (/ (- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (+ (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0)))))
0.0b
(/ (- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (+ (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0))))
5.3b
(- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
603×add-sqr-sqrt
295×times-frac
288×difference-of-squares
266×*-un-lft-identity
264×sqrt-prod
262×unpow-prod-down cube-prod
153×associate-*r*
118×add-cube-cbrt
97×sqr-pow
72×distribute-lft-out--
49×associate-/l*
12×add-exp-log add-cbrt-cube
8×pow1 difference-cubes
6×pow-pow add-log-exp
5×associate-*l*
4×sqrt-pow1 flip3-+ associate-/r/ flip-+
3×pow-unpow exp-prod associate-/r*
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out unswap-sqr
1×cube-mult pow-to-exp sub-neg frac-2neg pow1/2 diff-log unpow3 div-sub associate-*r/ pow-prod-down pow-exp clear-num *-commutative sqrt-pow2 rem-cube-cbrt
Counts
4 → 487
Calls
4 calls:
4.0ms
(pow (sqrt (exp x)) 3)
66.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (/ (- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (+ (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0)))))
32.0ms
(/ (- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (+ (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0))))
21.0ms
(- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3))

series109.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(pow (sqrt (exp x)) 3)
55.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (/ (- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (+ (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0)))))
36.0ms
(/ (- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3)) (+ (+ (exp x) 1.0) (* (sqrt (exp x)) (sqrt 1.0))))
12.0ms
(- (pow (sqrt (exp x)) 3) (pow (sqrt 1.0) 3))

simplify117.0ms

Algorithm
egg-herbie
Counts
499 → 499
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0128710815
1500210566

prune891.0ms

Filtered
177 candidates to 499 candidates (-181.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4981499
Fresh000
Picked101
Done011
Total4992501

Merged error: 0.0b

Counts
501 → 2

regimes50.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

analyze2.0ms

Algorithm
search

sample1.1s

Algorithm
intervals
Results
541.0ms3421×body1280valid
245.0ms2526×body640valid
87.0ms8001×pre80true
80.0ms1262×body320valid
24.0ms610×body160valid
4.0ms181×body80valid
0.0ms1×body80invalid

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