Details

Time bar (total: 4.8s)

sample57.0ms

Algorithm
intervals
Results
41.0ms444×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06942
123142
290042
3375342
4500142

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
36×associate-*l*
35×pow1 add-exp-log add-cbrt-cube
29×times-frac
27×add-cube-cbrt *-un-lft-identity
17×prod-exp cbrt-unprod
14×associate-*l/
13×sqrt-prod
12×frac-add
10×pow-prod-down
7×associate-*r*
6×frac-times flip3-+ pow-plus associate-*r/ pow-prod-up flip-+
4×cbrt-undiv div-exp add-log-exp unswap-sqr
3×*-commutative
2×pow2 pow-sqr div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow3
Counts
4 → 135
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
19.0ms
(* (/ 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)))))
14.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series68.0ms

Counts
4 → 10
Calls
4 calls:
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
56.0ms
(* (/ 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)))))
7.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify51.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09774021
150013349

prune358.0ms

Filtered
95 candidates to 145 candidates (-52.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1396145
Fresh000
Picked101
Done000
Total1406146

Merged error: 0.0b

Counts
146 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (/ 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)))))
1.0b
(sqrt PI)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
32×add-sqr-sqrt
24×associate-*l*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
19×add-exp-log add-cbrt-cube
13×associate-*l/ sqrt-prod
12×pow-plus frac-add pow-prod-up
9×associate-*r*
8×prod-exp cbrt-unprod
7×pow-prod-down
6×frac-times flip3-+ associate-*r/ flip-+
5×unswap-sqr
4×pow2 pow-sqr add-log-exp
3×*-commutative
2×pow3
1×cbrt-undiv distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 125
Calls
4 calls:
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
6.0ms
(* (* (fabs x) (fabs x)) (fabs x))
19.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (/ 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)))))
1.0ms
(sqrt PI)

series69.0ms

Counts
4 → 10
Calls
4 calls:
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
5.0ms
(* (* (fabs x) (fabs x)) (fabs x))
59.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (/ 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)))))
0.0ms
(sqrt PI)

simplify126.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08053389
142882821
250022772

prune313.0ms

Filtered
81 candidates to 135 candidates (-66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1323135
Fresh325
Picked011
Done000
Total1356141

Merged error: 0b

Counts
141 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (+ (+ (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0)) (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3)))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (sqrt 1.0)) (sqrt (sqrt PI)))
0.3b
(* (/ (sqrt 1.0) (sqrt (sqrt PI))) (/ (* (+ (+ (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0)) (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3)))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (sqrt 1.0)) (sqrt (sqrt PI))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
123×sqrt-prod
78×times-frac
75×add-sqr-sqrt
58×associate-*l*
53×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
13×associate-*r*
9×cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod
8×pow1
7×associate-*r/ associate-*l/ unswap-sqr
6×frac-add associate-/l/
4×add-log-exp
3×flip3-+ flip-+ div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
4 → 167
Calls
4 calls:
29.0ms
(/ (* (+ (+ (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0)) (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3)))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (sqrt 1.0)) (sqrt (sqrt PI)))
45.0ms
(* (/ (sqrt 1.0) (sqrt (sqrt PI))) (/ (* (+ (+ (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0)) (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3)))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (sqrt 1.0)) (sqrt (sqrt PI))))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series136.0ms

Counts
4 → 8
Calls
4 calls:
75.0ms
(/ (* (+ (+ (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0)) (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3)))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (sqrt 1.0)) (sqrt (sqrt PI)))
61.0ms
(* (/ (sqrt 1.0) (sqrt (sqrt PI))) (/ (* (+ (+ (* (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (/ 1.0 21.0)) (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3)))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (sqrt 1.0)) (sqrt (sqrt PI))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify134.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07306517
141305736
250025501

prune528.0ms

Filtered
108 candidates to 175 candidates (-62.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1741175
Fresh134
Picked011
Done101
Total1765181

Merged error: 0b

Counts
181 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))
0.1b
(* (/ (/ 1.0 (sqrt PI)) 1) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (* (pow (fabs x) 6) (* (fabs x) (/ 1.0 21.0)))))
0.4b
(* (fabs x) (/ 1.0 21.0))
1.0b
(sqrt PI)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
149×times-frac
110×add-sqr-sqrt
86×*-un-lft-identity
83×add-cube-cbrt
74×associate-*l*
72×add-exp-log
39×prod-exp add-cbrt-cube
32×sqrt-prod
29×associate-*r*
28×associate-*r/
17×cbrt-unprod
14×div-exp
12×frac-add
11×pow1
9×unswap-sqr
7×cbrt-undiv
6×frac-times flip3-+ flip-+ div-inv
4×pow-to-exp pow-exp add-log-exp
3×pow-prod-down *-commutative
2×1-exp
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 associate-*l/
Counts
4 → 201
Calls
4 calls:
12.0ms
(* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))
25.0ms
(* (/ (/ 1.0 (sqrt PI)) 1) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (* (pow (fabs x) 6) (* (fabs x) (/ 1.0 21.0)))))
9.0ms
(* (fabs x) (/ 1.0 21.0))
1.0ms
(sqrt PI)

series70.0ms

Counts
4 → 10
Calls
4 calls:
10.0ms
(* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))
57.0ms
(* (/ (/ 1.0 (sqrt PI)) 1) (+ (+ (+ (* 2.0 (fabs x)) (* 0.6666666666666666 (pow (fabs x) 3))) (* (* (pow (fabs x) 3) (* (fabs x) (fabs x))) (/ 1.0 5.0))) (* (pow (fabs x) 6) (* (fabs x) (/ 1.0 21.0)))))
2.0ms
(* (fabs x) (/ 1.0 21.0))
0.0ms
(sqrt PI)

simplify71.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016254674
150014277

prune735.0ms

Filtered
148 candidates to 211 candidates (-42.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2101211
Fresh123
Picked011
Done011
Total2115216

Merged error: 0b

Counts
216 → 5

regimes114.0ms

Accuracy

0% (0.1b 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
04328
14328

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s13999×body80valid

Profiling

Loading profile data...