Details

Time bar (total: 7.1s)

sample66.0ms

Algorithm
intervals
Results
49.0ms472×body80valid

simplify899.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
02867
16967
222148
379537
4264137
done500137

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)

rewrite116.0ms

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:
61.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
26.0ms
(* (/ 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)))))
13.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series86.0ms

Counts
4 → 10
Calls
4 calls:
18.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms
(* (/ 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)

simplify422.0ms

Counts
175 → 175
Iterations

Useful iterations: done (413.0ms)

IterNodesCost
03768848
113316296
done50005605

prune516.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1723175
Fresh011
Picked101
Done000
Total1734177

Merged error: 0b

Counts
177 → 4

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))
11.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
19.0ms
(* (+ (* 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)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
11.0ms
(* 0.2 (pow (fabs x) 5))
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
51.0ms
(* (+ (* 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)))

simplify520.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
02302552
15282383
219252199
done50002199

prune351.0ms

Filtered
84 candidates to 132 candidates (-57.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh123
Picked011
Done000
Total1324136

Merged error: 0b

Counts
136 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
47×associate-*l*
45×add-cube-cbrt *-un-lft-identity
34×add-exp-log
33×times-frac
31×unpow-prod-down cube-prod
27×associate-*r* unswap-sqr
20×associate-*r/
18×swap-sqr
17×prod-exp
16×frac-add add-cbrt-cube
15×sqr-pow
13×sqrt-prod
12×flip3-+ flip-+
8×frac-times pow-to-exp pow-exp
7×pow1
6×associate-*l/
5×cube-mult unpow3 cbrt-unprod
4×div-exp add-log-exp
3×*-commutative
2×cbrt-undiv pow-prod-down div-inv
1×pow2 distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-sqr pow-prod-up
Counts
4 → 203
Calls
4 calls:
28.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (fabs x) (+ (* (/ 1.0 5.0) (* (fabs x) (pow (fabs x) 3))) (/ (* 1.0 (* (pow (fabs x) 3) (pow (fabs x) 3))) 21.0))) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* 2.0 (fabs x)))))
11.0ms
(* (pow (fabs x) 3) (pow (fabs x) 3))
11.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
2.0ms
(sqrt PI)

series84.0ms

Counts
4 → 10
Calls
4 calls:
61.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (fabs x) (+ (* (/ 1.0 5.0) (* (fabs x) (pow (fabs x) 3))) (/ (* 1.0 (* (pow (fabs x) 3) (pow (fabs x) 3))) 21.0))) (+ (* (/ 2.0 3.0) (pow (fabs x) 3)) (* 2.0 (fabs x)))))
15.0ms
(* (pow (fabs x) 3) (pow (fabs x) 3))
8.0ms
(* (/ 2.0 3.0) (pow (fabs x) 3))
0.0ms
(sqrt PI)

simplify374.0ms

Counts
213 → 213
Iterations

Useful iterations: done (366.0ms)

IterNodesCost
03387035
111705362
done50005332

prune695.0ms

Filtered
126 candidates to 213 candidates (-69.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2130213
Fresh022
Picked011
Done011
Total2134217

Merged error: 0b

Counts
217 → 4

localize22.0ms

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 PI))
1.0b
(sqrt PI)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
19×associate-*r*
18×times-frac
16×add-exp-log
15×sqrt-prod
10×add-cbrt-cube
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp associate-/r*
5×pow1
4×cube-prod add-log-exp sqr-pow
3×associate-/l*
2×pow-to-exp pow-exp *-commutative cbrt-unprod associate-/l/
1×cbrt-undiv cube-mult rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 unpow3 div-exp clear-num flip-+ div-inv
Counts
4 → 110
Calls
4 calls:
6.0ms
(* 0.2 (pow (fabs x) 5))
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
16.0ms
(/ (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt PI))
2.0ms
(sqrt PI)

series74.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(* 0.2 (pow (fabs x) 5))
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
55.0ms
(/ (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))) (sqrt PI))
0.0ms
(sqrt PI)

simplify435.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
01862666
14182548
213572391
done50002391

prune276.0ms

Filtered
77 candidates to 120 candidates (-55.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done022
Total1204124

Merged error: 0b

Counts
124 → 4

regimes98.0ms

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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