Details

Time bar (total: 6.2s)

sample48.0ms

Algorithm
intervals
Results
14.0ms130×body160valid
8.0ms126×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08236
129236
296836
3449936
4500336

prune4.0ms

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: 14.4b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.5b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
14.3b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-+r+
34×distribute-rgt-in distribute-lft-in
15×+-commutative
4×associate-/r/
3×flip3-+ flip-+
2×frac-2neg clear-num div-inv
1×sub-neg flip3-- flip--
Counts
4 → 45
Calls
4 calls:
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
14.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
2.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
312.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
875.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05761286
118191285
250011265

prune259.0ms

Filtered
57 candidates to 48 candidates (84.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558

Merged error: 14.3b

Counts
58 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
14.3b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -0.284496736))) (exp (- (* (fabs x) (fabs x))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-/r/
3×frac-2neg flip3-+ clear-num flip-+ div-inv
1×sub-neg flip3-- flip--
Counts
4 → 19
Calls
4 calls:
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
3.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
2.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -0.284496736))) (exp (- (* (fabs x) (fabs x))))))

series957.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
35.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
29.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
863.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -0.284496736))) (exp (- (* (fabs x) (fabs x))))))

simplify34.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0227609
1957598
25002581

prune137.0ms

Filtered
31 candidates to 22 candidates (71.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New31031
Fresh044
Picked011
Done000
Total31536

Merged error: 14.3b

Counts
36 → 5

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
14.3b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (+ -0.284496736 (* (+ 1.421413741 (* -1.453152027 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-/r/
3×frac-2neg flip3-+ clear-num flip-+ div-inv
1×sub-neg flip3-- flip--
Counts
4 → 19
Calls
4 calls:
3.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
3.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
2.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (+ -0.284496736 (* (+ 1.421413741 (* -1.453152027 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))) (exp (- (* (fabs x) (fabs x))))))

series953.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
35.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
859.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (+ -0.284496736 (* (+ 1.421413741 (* -1.453152027 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))) (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))) (exp (- (* (fabs x) (fabs x))))))

simplify35.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0241689
1982678
25002661

prune152.0ms

Filtered
31 candidates to 22 candidates (71.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh033
Picked101
Done011
Total31536

Merged error: 14.3b

Counts
36 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
14.3b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-/r/
3×frac-2neg flip3-+ clear-num flip-+ div-inv
1×sub-neg flip3-- flip--
Counts
4 → 19
Calls
4 calls:
3.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
3.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
2.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (exp (- (* (fabs x) (fabs x))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
35.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
32.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
909.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* -0.284496736 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (exp (- (* (fabs x) (fabs x))))))

simplify35.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0243609
11035598
25001581

prune124.0ms

Filtered
31 candidates to 22 candidates (71.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh033
Picked011
Done011
Total31536

Merged error: 14.3b

Counts
36 → 5

regimes130.0ms

Accuracy

0% (0.0b remaining)

Error of 13.9b against oracle of 13.8b and baseline of 13.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04341
14341

end0.0ms

sample803.0ms

Algorithm
intervals
Results
447.0ms3928×body160valid
234.0ms4072×body80valid