Details

Time bar (total: 9.9s)

sample60.0ms

Algorithm
intervals
Results
47.0ms472×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
02867
16967
222148
378137
4247937
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: 0.1b

Counts
2 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
45×times-frac
41×associate-*l*
38×add-cube-cbrt *-un-lft-identity
35×add-exp-log
29×associate-*r*
19×add-cbrt-cube
17×unswap-sqr
14×associate-*r/ prod-exp
13×sqrt-prod
10×unpow-prod-down
7×pow1 div-exp
6×cbrt-unprod sqr-pow
5×cube-prod
4×frac-times pow-to-exp flip3-+ frac-add pow-exp flip-+ add-log-exp
3×cbrt-undiv *-commutative div-inv
1×distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down associate-*l/
Counts
4 → 158
Calls
4 calls:
9.0ms
(* (pow (fabs x) 4) (/ 1.0 5.0))
22.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (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))))
11.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
2.0ms
(sqrt PI)

series78.0ms

Counts
4 → 10
Calls
4 calls:
8.0ms
(* (pow (fabs x) 4) (/ 1.0 5.0))
62.0ms
(* (/ 1.0 (sqrt PI)) (+ (* (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))))
8.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.0ms
(sqrt PI)

simplify1.8s

Counts
168 → 168
Iterations

Useful iterations: 2 (812.0ms)

IterNodesCost
03194139
19903929
244113653
done50003653

prune535.0ms

Filtered
117 candidates to 168 candidates (-43.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1644168
Fresh101
Picked011
Done000
Total1655170

Merged error: 0b

Counts
170 → 5

localize24.0ms

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)))

rewrite42.0ms

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))
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)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* 0.047619047619047616 (pow (fabs x) 7))
11.0ms
(* 0.2 (pow (fabs x) 5))
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
53.0ms
(* (+ (* 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)))

simplify732.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
02302552
15182363
216052201
done50012201

prune340.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh123
Picked011
Done011
Total1325137

Merged error: 0b

Counts
137 → 5

localize20.0ms

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)

rewrite37.0ms

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))
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
18.0ms
(/ (+ (* 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)

series67.0ms

Counts
4 → 10
Calls
4 calls:
10.0ms
(* 0.2 (pow (fabs x) 5))
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
49.0ms
(/ (+ (* 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)

simplify555.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
01862666
14122540
212382391
done50002391

prune279.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh112
Picked011
Done022
Total1205125

Merged error: 0b

Counts
125 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.6666666666666666 (pow (fabs x) 3))
0.2b
(/ (sqrt PI) (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))))
0.3b
(/ 1 (/ (sqrt PI) (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x)))))))
1.0b
(sqrt PI)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
109×add-sqr-sqrt
101×add-cube-cbrt *-un-lft-identity
51×sqrt-prod
27×associate-/r*
22×add-exp-log
13×add-cbrt-cube
12×associate-*r*
11×associate-/r/
9×associate-/l*
8×div-exp
6×pow1 div-inv
5×flip3-+ flip-+
4×cbrt-undiv unpow-prod-down cube-prod add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×rec-exp frac-2neg 1-exp clear-num sqr-pow
1×cube-mult pow-to-exp rem-sqrt-square pow-flip sqrt-pow1 pow1/2 unpow3 pow-exp *-commutative cbrt-unprod inv-pow
Counts
4 → 205
Calls
4 calls:
7.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
14.0ms
(/ (sqrt PI) (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))))
18.0ms
(/ 1 (/ (sqrt PI) (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x)))))))
2.0ms
(sqrt PI)

series147.0ms

Counts
4 → 10
Calls
4 calls:
8.0ms
(* 0.6666666666666666 (pow (fabs x) 3))
85.0ms
(/ (sqrt PI) (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x))))))
54.0ms
(/ 1 (/ (sqrt PI) (+ (* 0.047619047619047616 (pow (fabs x) 7)) (+ (* 0.2 (pow (fabs x) 5)) (+ (* 0.6666666666666666 (pow (fabs x) 3)) (* 2.0 (fabs x)))))))
0.0ms
(sqrt PI)

simplify800.0ms

Counts
215 → 215
Iterations

Useful iterations: 2 (258.0ms)

IterNodesCost
02829064
16538533
216828012
done50018012

prune606.0ms

Filtered
103 candidates to 215 candidates (-108.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2150215
Fresh011
Picked011
Done033
Total2155220

Merged error: 0b

Counts
220 → 5

regimes92.0ms

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

sample1.7s

Algorithm
intervals
Results
1.4s14014×body80valid

Profiling

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