Details

Time bar (total: 7.0s)

sample61.0ms

Algorithm
intervals
Results
43.0ms434×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
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) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite70.0ms

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
22×pow-prod-down
15×associate-*l/
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:
24.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
25.0ms
(* (/ 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) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
12.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series448.0ms

Counts
4 → 10
Calls
4 calls:
65.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
332.0ms
(* (/ 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) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
51.0ms
(* (/ 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 (27.0ms)

IterNodesCost
011964518
150023785

prune860.0ms

Filtered
165 candidates to 108 candidates (65.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1596165
Fresh000
Picked011
Done000
Total1597166

Merged error: 0b

Counts
166 → 7

localize21.0ms

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))

rewrite40.0ms

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))
16.0ms
(* (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))))))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

series463.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
63.0ms
(* 0.2 (pow (fabs x) 5))
280.0ms
(* (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))))))
44.0ms
(* 0.6666666666666666 (pow (fabs x) 3))

simplify82.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05931430
127951324
250021320

prune484.0ms

Filtered
134 candidates to 87 candidates (64.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1322134
Fresh415
Picked011
Done011
Total1365141

Merged error: 0b

Counts
141 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.2 (pow (fabs x) 5))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
0.2b
(* (sqrt (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))))))
0.3b
(* (sqrt (sqrt (/ 1 PI))) (* (sqrt (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)))))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
65×sqrt-prod
53×add-sqr-sqrt
44×associate-*l*
31×*-un-lft-identity
30×add-cube-cbrt sqrt-div
23×associate-*r*
21×add-exp-log
20×times-frac
15×add-cbrt-cube
12×unswap-sqr
11×pow1 frac-times associate-*r/
10×prod-exp
8×unpow-prod-down
6×flip3-+ cbrt-unprod flip-+
5×distribute-rgt-in distribute-lft-in
4×cube-prod pow-prod-down associate-*l/ *-commutative add-log-exp sqr-pow
2×pow-to-exp pow-exp div-inv
1×cube-mult unpow3
Counts
4 → 150
Calls
4 calls:
5.0ms
(* 0.2 (pow (fabs x) 5))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
18.0ms
(* (sqrt (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))))))
25.0ms
(* (sqrt (sqrt (/ 1 PI))) (* (sqrt (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)))))))

series858.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 0.2 (pow (fabs x) 5))
49.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
455.0ms
(* (sqrt (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))))))
296.0ms
(* (sqrt (sqrt (/ 1 PI))) (* (sqrt (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)))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06932791
136272504
250032493

prune638.0ms

Filtered
162 candidates to 107 candidates (66.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh022
Picked011
Done022
Total1625167

Merged error: 0b

Counts
167 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (+ (+ (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0)) (* (pow (fabs x) 3) (/ 2.0 3.0))) (* 2.0 (fabs x))) 1.0) (sqrt PI))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×times-frac
30×add-cube-cbrt *-un-lft-identity
23×sqrt-prod
22×associate-*l*
21×add-exp-log add-cbrt-cube
13×associate-*r*
8×pow1
6×cbrt-undiv div-exp associate-/r* unswap-sqr
5×prod-exp cbrt-unprod
4×add-log-exp
3×associate-*l/ div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+ associate-/l*
Counts
4 → 116
Calls
4 calls:
22.0ms
(/ (* (+ (+ (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0)) (* (pow (fabs x) 3) (/ 2.0 3.0))) (* 2.0 (fabs x))) 1.0) (sqrt PI))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
14.0ms
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))

series238.0ms

Counts
4 → 6
Calls
4 calls:
238.0ms
(/ (* (+ (+ (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0)) (* (pow (fabs x) 3) (/ 2.0 3.0))) (* 2.0 (fabs x))) 1.0) (sqrt PI))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(* (/ 1.0 (sqrt PI)) (/ 1.0 21.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05601302
125611148
250021125

prune480.0ms

Filtered
122 candidates to 86 candidates (70.5%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done033
Total1225127

Merged error: 0b

Counts
127 → 5

regimes212.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03819
13819

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s14058×body80valid

Profiling

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