Details

Time bar (total: 9.0s)

sample63.0ms

Algorithm
intervals
Results
49.0ms472×body80valid

simplify873.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
02867
16967
222148
379537
4264137
done500037

prune13.0ms

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: 0.0b

Counts
2 → 2

localize27.0ms

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 (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)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
107×add-exp-log add-cbrt-cube
70×prod-exp cbrt-unprod
51×pow1
48×associate-*l*
42×add-sqr-sqrt
38×times-frac
35×pow-prod-down
33×add-cube-cbrt *-un-lft-identity
15×associate-*l/
13×sqrt-prod
12×frac-add
11×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 → 165
Calls
4 calls:
69.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
22.0ms
(* (/ 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)))))
18.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series88.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
66.0ms
(* (/ 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)))))
8.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify448.0ms

Counts
175 → 175
Iterations

Useful iterations: done (436.0ms)

IterNodesCost
03768848
113316369
done50016079

prune582.0ms

Filtered
117 candidates to 175 candidates (-49.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1723175
Fresh011
Picked011
Done000
Total1725177

Merged error: 0b

Counts
177 → 5

localize22.0ms

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
42×associate-*r*
24×*-un-lft-identity
23×add-cube-cbrt
21×add-exp-log
16×sqrt-prod
14×unswap-sqr
12×unpow-prod-down associate-*l* 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-*l/ flip-+
1×cube-mult unpow3 associate-*r/ pow-prod-down div-inv
Counts
4 → 120
Calls
4 calls:
6.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
6.0ms
(* 0.2 (pow (fabs x) 5))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
23.0ms
(* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (/ 1 PI)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
11.0ms
(* 0.2 (pow (fabs x) 5))
13.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
50.0ms
(* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (/ 1 PI)))

simplify561.0ms

Counts
132 → 132
Iterations

Useful iterations: done (556.0ms)

IterNodesCost
02302552
15282401
220452219
done50002214

prune384.0ms

Filtered
93 candidates to 132 candidates (-41.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh123
Picked011
Done101
Total1334137

Merged error: 0b

Counts
137 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.2 (pow (fabs x) 5))
0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
0.3b
(* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (sqrt (/ 1 PI))))
0.3b
(* (* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (sqrt (/ 1 PI)))) (sqrt (sqrt (/ 1 PI))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
65×sqrt-prod
57×associate-*r*
53×add-sqr-sqrt
31×*-un-lft-identity
30×add-cube-cbrt sqrt-div
21×add-exp-log
20×times-frac
15×add-cbrt-cube
12×unswap-sqr
11×pow1 frac-times associate-*l/
10×associate-*l* prod-exp
8×unpow-prod-down
6×flip3-+ cbrt-unprod flip-+
4×cube-prod associate-*r/ pow-prod-down *-commutative add-log-exp sqr-pow
2×pow-to-exp pow-exp div-inv
1×cube-mult unpow3
Counts
4 → 144
Calls
4 calls:
6.0ms
(* 0.2 (pow (fabs x) 5))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
21.0ms
(* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (sqrt (/ 1 PI))))
30.0ms
(* (* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (sqrt (/ 1 PI)))) (sqrt (sqrt (/ 1 PI))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* 0.2 (pow (fabs x) 5))
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
75.0ms
(* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (sqrt (/ 1 PI))))
58.0ms
(* (* (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt (sqrt (/ 1 PI)))) (sqrt (sqrt (/ 1 PI))))

simplify752.0ms

Counts
156 → 156
Iterations

Useful iterations: done (745.0ms)

IterNodesCost
02554856
16274508
225824075
done50014014

prune571.0ms

Filtered
104 candidates to 156 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done011
Total1564160

Merged error: 0b

Counts
160 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 4) (/ 1.0 5.0))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.3b
(/ (+ (* (fabs x) (+ 2.0 (+ (* (pow (fabs x) 6) (/ 1.0 21.0)) (* (pow (fabs x) 4) (/ 1.0 5.0))))) (* (pow (fabs x) 3) (/ 2.0 3.0))) (/ (sqrt PI) 1.0))
1.0b
(sqrt PI)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
131×add-sqr-sqrt
99×add-cube-cbrt *-un-lft-identity
39×sqrt-prod
35×add-exp-log
26×associate-*r*
22×associate-/r*
19×associate-*l* add-cbrt-cube
14×unswap-sqr
12×prod-exp
10×unpow-prod-down
9×div-exp
7×div-inv
6×associate-*r/ sqr-pow
5×pow1 cbrt-undiv cube-prod
4×pow-to-exp pow-exp cbrt-unprod associate-/l/ add-log-exp
3×associate-/l*
2×flip3-+ frac-add *-commutative flip-+
1×cube-mult rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 unpow3 clear-num associate-/r/
Counts
4 → 216
Calls
4 calls:
10.0ms
(* (pow (fabs x) 4) (/ 1.0 5.0))
11.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
20.0ms
(/ (+ (* (fabs x) (+ 2.0 (+ (* (pow (fabs x) 6) (/ 1.0 21.0)) (* (pow (fabs x) 4) (/ 1.0 5.0))))) (* (pow (fabs x) 3) (/ 2.0 3.0))) (/ (sqrt PI) 1.0))
2.0ms
(sqrt PI)

series86.0ms

Counts
4 → 10
Calls
4 calls:
9.0ms
(* (pow (fabs x) 4) (/ 1.0 5.0))
8.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
68.0ms
(/ (+ (* (fabs x) (+ 2.0 (+ (* (pow (fabs x) 6) (/ 1.0 21.0)) (* (pow (fabs x) 4) (/ 1.0 5.0))))) (* (pow (fabs x) 3) (/ 2.0 3.0))) (/ (sqrt PI) 1.0))
0.0ms
(sqrt PI)

simplify1.2s

Counts
226 → 226
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04068527
110398265
243837940
done50007927

prune825.0ms

Filtered
155 candidates to 226 candidates (-45.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2260226
Fresh011
Picked011
Done022
Total2264230

Merged error: 0b

Counts
230 → 4

regimes104.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02733
13833
done3833

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s14014×body80valid

Profiling

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