Details

Time bar (total: 2.2s)

sample26.0ms

Algorithm
intervals
Results
16.0ms551×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1254
2474
3904
42394
58054
629344
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(exp (neg (- 1.0 (* x x))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity
distribute-lft-neg-in distribute-rgt-neg-in
rem-exp-log difference-of-squares
pow1 add-exp-log sub-neg distribute-neg-in diff-log exp-sum neg-log add-cbrt-cube
neg-sub0 exp-neg neg-mul-1 flip3-- exp-diff flip--
Counts
2 → 39
Calls
2 calls:
3.0ms
(- 1.0 (* x x))
5.0ms
(exp (neg (- 1.0 (* x x))))

series64.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- 1.0 (* x x))
24.0ms
(exp (neg (- 1.0 (* x x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0159194
1503178
22114173
35002172

prune77.0ms

Filtered
45 candidates to 33 candidates (73.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New42345
Fresh000
Picked101
Done000
Total43346

Merged error: 0.0b

Counts
46 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(/ 1 (exp (- 1.0 (* x x))))
0.0b
(exp (- 1.0 (* x x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity times-frac
10×exp-sum
exp-prod add-log-exp
sub-neg
pow-flip associate-/r* add-cbrt-cube
pow1 add-exp-log
associate-/l* difference-of-squares
exp-diff diff-log div-exp rem-exp-log
cbrt-undiv rec-exp flip3-- frac-2neg 1-exp clear-num associate-/r/ flip-- div-inv inv-pow
Counts
3 → 73
Calls
3 calls:
3.0ms
(- 1.0 (* x x))
9.0ms
(/ 1 (exp (- 1.0 (* x x))))
3.0ms
(exp (- 1.0 (* x x)))

series106.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- 1.0 (* x x))
44.0ms
(/ 1 (exp (- 1.0 (* x x))))
21.0ms
(exp (- 1.0 (* x x)))

simplify101.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0226442
1805396
23364364
35002358

prune87.0ms

Filtered
82 candidates to 47 candidates (57.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done000
Total82385

Merged error: 0.0b

Counts
85 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (neg (+ (sqrt 1.0) x)))
0.1b
(pow (exp (neg (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×exp-prod
20×*-un-lft-identity
14×add-sqr-sqrt
13×pow-pow
10×add-cube-cbrt
distribute-lft-neg-in distribute-rgt-neg-in
pow-unpow add-log-exp
unpow-prod-down distribute-lft-out
pow1 rem-exp-log
unpow-prod-up add-exp-log neg-mul-1 distribute-neg-in exp-sum neg-log add-cbrt-cube difference-of-squares
neg-sub0 exp-neg pow-to-exp sub-neg exp-diff pow-exp sum-log sqrt-prod distribute-lft-out-- pow-sub sqr-pow
Counts
2 → 61
Calls
2 calls:
8.0ms
(exp (neg (+ (sqrt 1.0) x)))
11.0ms
(pow (exp (neg (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series247.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(exp (neg (+ (sqrt 1.0) x)))
210.0ms
(pow (exp (neg (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify31.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0224465
1881440
25002437

prune113.0ms

Filtered
67 candidates to 46 candidates (68.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh011
Picked011
Done011
Total66470

Merged error: 0.0b

Counts
70 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (pow x 2))
0.0b
(cbrt (pow (- 1.0 (pow x 2)) 3))
0.0b
(pow (- 1.0 (pow x 2)) 3)
0.0b
(exp (neg (cbrt (pow (- 1.0 (pow x 2)) 3))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
66×cbrt-prod
54×exp-prod
41×unpow-prod-down
37×*-un-lft-identity
36×difference-of-squares
32×cube-prod
25×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cube-cbrt
13×sqr-pow
distribute-lft-out-- unpow2
add-log-exp
pow1 add-exp-log add-cbrt-cube
cube-div cube-mult unpow3
pow-unpow flip3-- flip--
cbrt-div rem-exp-log
neg-sub0 exp-neg pow-to-exp neg-mul-1 sub-neg pow-pow exp-diff pow1/3 diff-log neg-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 150
Calls
4 calls:
5.0ms
(- 1.0 (pow x 2))
7.0ms
(cbrt (pow (- 1.0 (pow x 2)) 3))
7.0ms
(pow (- 1.0 (pow x 2)) 3)
17.0ms
(exp (neg (cbrt (pow (- 1.0 (pow x 2)) 3))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- 1.0 (pow x 2))
38.0ms
(cbrt (pow (- 1.0 (pow x 2)) 3))
65.0ms
(pow (- 1.0 (pow x 2)) 3)
25.0ms
(exp (neg (cbrt (pow (- 1.0 (pow x 2)) 3))))

simplify47.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0393844
11370743
25002726

prune222.0ms

Filtered
162 candidates to 83 candidates (51.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done022
Total1624166

Merged error: 0.0b

Counts
166 → 4

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample656.0ms

Algorithm
intervals
Results
452.0ms16134×body80valid

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