Details

Time bar (total: 1.8s)

analyze3.0ms

Algorithm
search

sample36.0ms

Algorithm
intervals
Results
17.0ms108×body1280valid
7.0ms74×body640valid
3.0ms47×body320valid
3.0ms256×pre80true
1.0ms24×body160valid
0.0msbody80valid

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: 59.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

7.2b
(- (exp x) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
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)

simplify52.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune37.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0.0b

Counts
18 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
add-exp-log
add-cube-cbrt *-un-lft-identity
associate-*r* add-cbrt-cube
unswap-sqr
pow1 unpow-prod-down prod-exp
associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
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)

simplify41.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0247238
11168215
25001215

prune63.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh022
Picked011
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (- (exp x) 1.0) 3)
0.1b
(cbrt (pow (- (exp x) 1.0) 3))
7.2b
(- (exp x) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
10×unpow-prod-down cube-prod
add-cube-cbrt
distribute-lft-out-- add-log-exp difference-of-squares
pow1 add-exp-log cube-div add-cbrt-cube
pow-unpow flip3-- flip--
cube-mult cbrt-div unpow3 sqr-pow
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) 1.0) 3)
5.0ms
(cbrt (pow (- (exp x) 1.0) 3))
4.0ms
(- (exp x) 1.0)

series12.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(pow (- (exp x) 1.0) 3)
2.0ms
(cbrt (pow (- (exp x) 1.0) 3))
4.0ms
(- (exp x) 1.0)

simplify33.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0224382
1855367
25002359

prune70.0ms

Filtered
41 candidates to 79 candidates (-92.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh101
Picked101
Done011
Total79382

Merged error: 0.0b

Counts
82 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (exp x) 1.0) 3)
0.1b
(cbrt (pow (- (exp x) 1.0) 3))
0.1b
(cbrt (pow (cbrt (pow (- (exp x) 1.0) 3)) 3))
7.2b
(- (exp x) 1.0)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
92×cbrt-prod
39×unpow-prod-down cube-prod
37×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
distribute-lft-out-- difference-of-squares
cube-div
cbrt-div add-log-exp
pow1 add-exp-log cube-mult unpow3 add-cbrt-cube sqr-pow
flip3-- flip--
pow-unpow
pow1/3 rem-cbrt-cube
pow-to-exp sub-neg pow-pow diff-log pow-exp rem-cube-cbrt
Counts
4 → 125
Calls
4 calls:
5.0ms
(pow (- (exp x) 1.0) 3)
5.0ms
(cbrt (pow (- (exp x) 1.0) 3))
9.0ms
(cbrt (pow (cbrt (pow (- (exp x) 1.0) 3)) 3))
4.0ms
(- (exp x) 1.0)

series12.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(pow (- (exp x) 1.0) 3)
2.0ms
(cbrt (pow (- (exp x) 1.0) 3))
2.0ms
(cbrt (pow (cbrt (pow (- (exp x) 1.0) 3)) 3))
2.0ms
(- (exp x) 1.0)

simplify45.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0370716
1998701
25001686

prune100.0ms

Filtered
56 candidates to 137 candidates (-144.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1352137
Fresh101
Picked101
Done011
Total1373140

Merged error: 0.0b

Counts
140 → 3

regimes81.0ms

Accuracy

0% (0.3b remaining)

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

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
553.0ms3505×body1280valid
235.0ms2408×body640valid
90.0ms8002×pre80true
77.0ms1236×body320valid
26.0ms661×body160valid
4.0ms190×body80valid
0.0msbody80invalid

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