Details

Time bar (total: 1.6s)

analyze5.0ms

Algorithm
search

sample13.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms1×body80invalid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1254
2474
3904
42394
58054
629344
750024

prune2.0ms

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 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
6×add-sqr-sqrt
5×add-log-exp
4×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in *-un-lft-identity
3×rem-exp-log
2×distribute-neg-in exp-sum neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube
Counts
1 → 26
Calls
1 calls:
4.0ms
(exp (neg (- 1.0 (* x x))))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(exp (neg (- 1.0 (* x x))))

simplify43.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0108130
1296119
21343116
35001114

prune43.0ms

Filtered
21 candidates to 29 candidates (-38.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh000
Picked011
Done000
Total27330

Merged error: 0.0b

Counts
30 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(pow E (neg (- 1.0 (* x x))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×pow-unpow
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×distribute-lft-neg-in distribute-rgt-neg-in
3×unpow-prod-down
2×pow1 unpow-prod-up add-exp-log distribute-neg-in pow-exp difference-of-squares
1×neg-sub0 pow-to-exp pow-neg neg-mul-1 sub-neg e-exp-1 pow-pow add-cbrt-cube pow-sub add-log-exp sqr-pow
Counts
1 → 31
Calls
1 calls:
4.0ms
(pow E (neg (- 1.0 (* x x))))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(pow E (neg (- 1.0 (* x x))))

simplify81.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0172176
1592166
22550156
35001153

prune42.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh011
Picked011
Done011
Total34337

Merged error: 0.0b

Counts
37 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
30×exp-prod
21×add-sqr-sqrt
16×pow-pow
15×add-cube-cbrt pow-unpow *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
6×difference-of-squares
3×pow1 neg-mul-1 unpow-prod-down add-log-exp
2×add-exp-log add-cbrt-cube
1×pow-to-exp pow-exp rem-exp-log sqr-pow
Counts
2 → 67
Calls
2 calls:
5.0ms
(exp (sqrt (neg (- 1.0 (* x x)))))
9.0ms
(pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x)))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(exp (sqrt (neg (- 1.0 (* x x)))))
11.0ms
(pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0270669
1880635
23867607
35003597

prune280.0ms

Filtered
55 candidates to 73 candidates (-32.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh000
Picked101
Done022
Total73376

Merged error: 0.0b

Counts
76 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
33×add-sqr-sqrt
30×exp-prod
29×unpow-prod-down
27×add-cube-cbrt *-un-lft-identity
20×cbrt-prod
18×pow-unpow
17×pow-pow
14×cube-prod
12×distribute-lft-neg-in distribute-rgt-neg-in
7×sqr-pow
6×difference-of-squares
5×pow1 add-exp-log pow-exp add-cbrt-cube add-log-exp
3×pow-to-exp neg-mul-1
2×cube-mult unpow3
1×pow1/3 rem-cbrt-cube rem-exp-log rem-cube-cbrt
Counts
4 → 129
Calls
4 calls:
5.0ms
(exp (sqrt (neg (- 1.0 (* x x)))))
6.0ms
(pow (pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x))))) 3)
6.0ms
(cbrt (pow (pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x))))) 3))
9.0ms
(pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x)))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(exp (sqrt (neg (- 1.0 (* x x)))))
20.0ms
(pow (pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x))))) 3)
14.0ms
(cbrt (pow (pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x))))) 3))
11.0ms
(pow (exp (sqrt (neg (- 1.0 (* x x))))) (sqrt (neg (- 1.0 (* x x)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04161725
115461691
250021640

prune275.0ms

Filtered
86 candidates to 141 candidates (-64.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done022
Total1413144

Merged error: 0.0b

Counts
144 → 3

regimes128.0ms

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
064

end0.0ms

analyze4.0ms

Algorithm
search

sample332.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid

Profiling

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