Details

Time bar (total: 6.2s)

sample51.0ms

Algorithm
intervals
Results
35.0ms412×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

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: 0.2b

Counts
2 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log add-cbrt-cube
98×prod-exp cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-undiv div-exp
4×add-log-exp
3×associate-*r* associate-*l/ sqrt-prod *-commutative div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 157
Calls
4 calls:
58.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
22.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series191.0ms

Counts
4 → 10
Calls
4 calls:
78.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
60.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
52.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify95.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09482073
140181269
250021096

prune653.0ms

Filtered
167 candidates to 86 candidates (51.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1634167
Fresh000
Picked101
Done000
Total1644168

Merged error: 0.1b

Counts
168 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
48×associate-*l*
44×prod-exp cbrt-unprod
42×add-sqr-sqrt
38×times-frac
36×pow1
33×add-cube-cbrt *-un-lft-identity
23×associate-*l/
22×pow-prod-down
13×sqrt-prod
12×frac-add
9×cbrt-undiv div-exp
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r*
4×add-log-exp
3×*-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 155
Calls
4 calls:
16.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))))
25.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series446.0ms

Counts
4 → 10
Calls
4 calls:
335.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))))
65.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify58.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011973889
150023282

prune637.0ms

Filtered
165 candidates to 108 candidates (65.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1596165
Fresh303
Picked101
Done000
Total1636169

Merged error: 0b

Counts
169 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (pow (fabs x) 6))
0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* 0.2 (pow (fabs x) 5))) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
48×associate-*l*
43×add-exp-log
41×times-frac
35×add-cube-cbrt *-un-lft-identity add-cbrt-cube
20×prod-exp
16×pow1 cbrt-unprod
13×sqrt-prod
11×associate-*r* associate-*l/
9×unswap-sqr
7×div-exp pow-prod-down
5×cbrt-undiv unpow-prod-down
4×frac-times flip3-+ associate-*r/ frac-add flip-+ add-log-exp
3×*-commutative div-inv sqr-pow
2×pow-to-exp pow-exp
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 146
Calls
4 calls:
8.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
15.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* 0.2 (pow (fabs x) 5))) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))))
11.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series449.0ms

Counts
4 → 10
Calls
4 calls:
64.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
334.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* 0.2 (pow (fabs x) 5))) (* (* (/ 1.0 21.0) (pow (fabs x) 6)) (fabs x))))
50.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify47.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09742512
150012182

prune625.0ms

Filtered
156 candidates to 110 candidates (70.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1542156
Fresh235
Picked011
Done000
Total1566162

Merged error: 0b

Counts
162 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.047619047619047616 (pow (fabs x) 7))
0.1b
(* 0.2 (pow (fabs x) 5))
0.1b
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
29×associate-*r*
25×associate-*l*
24×*-un-lft-identity
23×add-cube-cbrt
21×add-exp-log
16×sqrt-prod
14×unswap-sqr
12×unpow-prod-down add-cbrt-cube
11×times-frac
10×prod-exp
6×pow1 sqr-pow
4×cube-prod *-commutative cbrt-unprod add-log-exp
3×pow-to-exp sqrt-div pow-exp
2×frac-times flip3-+ associate-*r/ flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 pow-prod-down associate-*l/ div-inv
Counts
4 → 122
Calls
4 calls:
5.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
5.0ms
(* 0.2 (pow (fabs x) 5))
15.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
6.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series483.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
63.0ms
(* 0.2 (pow (fabs x) 5))
293.0ms
(* (sqrt (/ 1 PI)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (* 0.047619047619047616 (pow (fabs x) 7))))))
50.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

simplify83.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05931430
127951324
250021320

prune438.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1331134
Fresh134
Picked011
Done011
Total1346140

Merged error: 0b

Counts
140 → 6

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03825
13825

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s14056×body80valid