Details

Time bar (total: 4.7s)

analyze8.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
0%12.5%87.5%2
0%6.3%93.7%3
0%3.1%96.9%4
0%1.6%98.4%5
0%0.8%99.2%6
0%0.4%99.6%7
0%0.2%99.8%8
0.1%0.1%99.8%9
0.1%0%99.9%10
0.1%0%99.9%11
0.1%0%99.9%12
0.1%0%99.9%13
0.1%0%99.9%14

sample66.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
3.0ms257×pre80true
0.0ms1×body80invalid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
0521649

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.5b

Counts
2 → 2

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.1b
(pow (exp (fabs x)) (fabs x))
1.1b
(pow (/ 1.0 (fabs x)) 5)
1.4b
(pow (/ 1.0 (fabs x)) 7)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
29×unpow-prod-down
25×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
18×times-frac
10×add-exp-log
9×pow-unpow
8×pow1
6×pow-pow
5×pow-exp
4×add-cbrt-cube add-log-exp
3×pow-to-exp exp-prod sqrt-prod sqr-pow
2×div-exp div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 89
Calls
4 calls:
1.0ms
(sqrt PI)
3.0ms
(pow (exp (fabs x)) (fabs x))
4.0ms
(pow (/ 1.0 (fabs x)) 5)
5.0ms
(pow (/ 1.0 (fabs x)) 7)

series56.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt PI)
28.0ms
(pow (exp (fabs x)) (fabs x))
13.0ms
(pow (/ 1.0 (fabs x)) 5)
15.0ms
(pow (/ 1.0 (fabs x)) 7)

simplify37.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04958897
14958897

prune335.0ms

Filtered
70 candidates to 99 candidates (-41.4%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New851499
Fresh101
Picked101
Done000
Total8714101

Merged error: 0.8b

Counts
101 → 14

localize33.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (/ 1.0 (fabs x)) 3)
1.0b
(sqrt PI)
1.1b
(pow (exp (fabs x)) (fabs x))
1.1b
(pow (/ 1.0 (fabs x)) 5)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
29×unpow-prod-down
27×times-frac
13×cube-prod
10×add-exp-log
9×pow-unpow
8×pow1
7×add-cbrt-cube
6×pow-pow
5×pow-exp
4×add-log-exp
3×pow-to-exp exp-prod sqrt-prod div-inv sqr-pow
2×div-exp rem-cube-cbrt
1×cbrt-undiv cube-div cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3
Counts
4 → 107
Calls
4 calls:
5.0ms
(pow (/ 1.0 (fabs x)) 3)
1.0ms
(sqrt PI)
3.0ms
(pow (exp (fabs x)) (fabs x))
4.0ms
(pow (/ 1.0 (fabs x)) 5)

series52.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(pow (/ 1.0 (fabs x)) 3)
0.0ms
(sqrt PI)
30.0ms
(pow (exp (fabs x)) (fabs x))
13.0ms
(pow (/ 1.0 (fabs x)) 5)

simplify42.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05158967

prune322.0ms

Filtered
70 candidates to 117 candidates (-67.1%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1089117
Fresh4913
Picked101
Done000
Total11318131

Merged error: 0.7b

Counts
131 → 18

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (pow (exp (fabs x)) (fabs x)) (+ (/ 1.0 (fabs x)) (+ (* (/ 1.0 2.0) (/ 1.0 (pow (fabs x) 3))) (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 5)) (* (/ 15.0 8.0) (/ 1.0 (pow (fabs x) 7)))))))
1.0b
(sqrt PI)
1.1b
(pow (exp (fabs x)) (fabs x))
1.1b
(pow (/ 1.0 (fabs x)) 5)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
41×frac-add
27×associate-*r/
25×add-sqr-sqrt
21×*-un-lft-identity
20×unpow-prod-down
19×add-cube-cbrt
17×associate-*l/
11×add-exp-log
9×times-frac
8×frac-times
7×pow1 associate-*l*
6×pow-unpow add-cbrt-cube
5×pow-pow flip3-+ flip-+
4×associate-*r* pow-exp add-log-exp sqr-pow
3×pow-to-exp exp-prod prod-exp sqrt-prod unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 div-exp *-commutative cbrt-unprod div-inv distribute-lft-out
Counts
4 → 108
Calls
4 calls:
33.0ms
(* (pow (exp (fabs x)) (fabs x)) (+ (/ 1.0 (fabs x)) (+ (* (/ 1.0 2.0) (/ 1.0 (pow (fabs x) 3))) (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 5)) (* (/ 15.0 8.0) (/ 1.0 (pow (fabs x) 7)))))))
1.0ms
(sqrt PI)
3.0ms
(pow (exp (fabs x)) (fabs x))
4.0ms
(pow (/ 1.0 (fabs x)) 5)

series138.0ms

Counts
4 → 10
Calls
4 calls:
98.0ms
(* (pow (exp (fabs x)) (fabs x)) (+ (/ 1.0 (fabs x)) (+ (* (/ 1.0 2.0) (/ 1.0 (pow (fabs x) 3))) (+ (* (/ 3.0 4.0) (pow (/ 1.0 (fabs x)) 5)) (* (/ 15.0 8.0) (/ 1.0 (pow (fabs x) 7)))))))
0.0ms
(sqrt PI)
28.0ms
(pow (exp (fabs x)) (fabs x))
13.0ms
(pow (/ 1.0 (fabs x)) 5)

simplify75.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
048903643
148903643

prune545.0ms

Filtered
89 candidates to 118 candidates (-32.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New10513118
Fresh9817
Picked101
Done000
Total11521136

Merged error: 0.4b

Counts
136 → 21

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (exp (fabs x)) (/ (fabs x) 2))
0.7b
(pow (exp (fabs x)) (/ (fabs x) 2))
1.0b
(sqrt PI)
1.1b
(pow (/ 1.0 (fabs x)) 5)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
29×pow-unpow
27×times-frac
19×unpow-prod-down
9×pow-pow
8×pow1
7×add-exp-log
6×exp-prod
4×pow-exp add-cbrt-cube add-log-exp
3×pow-to-exp sqrt-prod div-inv sqr-pow
1×rem-sqrt-square sqrt-pow1 pow1/2 div-exp
Counts
4 → 101
Calls
4 calls:
4.0ms
(pow (exp (fabs x)) (/ (fabs x) 2))
4.0ms
(pow (exp (fabs x)) (/ (fabs x) 2))
1.0ms
(sqrt PI)
4.0ms
(pow (/ 1.0 (fabs x)) 5)

series78.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(pow (exp (fabs x)) (/ (fabs x) 2))
34.0ms
(pow (exp (fabs x)) (/ (fabs x) 2))
0.0ms
(sqrt PI)
13.0ms
(pow (/ 1.0 (fabs x)) 5)

simplify53.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050851013

prune375.0ms

Filtered
87 candidates to 111 candidates (-27.6%)
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New1029111
Fresh41620
Picked011
Done000
Total10626132

Merged error: 0.3b

Counts
132 → 26

regimes360.0ms

Accuracy

0% (1.0b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04560
14560

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.6s8000×body80valid
91.0ms8119×pre80true
24.0ms119×body80invalid

Profiling

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