Details

Time bar (total: 1.4m)

sample75.0ms

Algorithm
intervals
Results
54.0ms440×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
028847
169807
2228767
3873727
44087687
done5002687

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize107.0ms

Local error

Found 4 expressions with local error:

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)))
0.3b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite12.5s

Algorithm
rewrite-expression-head
Rules
107×add-cbrt-cube add-exp-log
70×prod-exp cbrt-unprod
51×pow1
48×associate-*l*
42×add-sqr-sqrt
38×times-frac
35×pow-prod-down
33×*-un-lft-identity add-cube-cbrt
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:
1.2s
(* (/ 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)))))
91.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
11.2s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series563.0ms

Counts
4 → 10
Calls
4 calls:
433.0ms
(* (/ 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)))))
46.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
84.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.2s

Counts
175 → 175
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0376105001
1136189617
done500086654

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize117.0ms

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)

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
75×add-cbrt-cube add-exp-log
48×associate-*l*
44×prod-exp cbrt-unprod
42×add-sqr-sqrt
38×times-frac
36×pow1
33×*-un-lft-identity add-cube-cbrt
23×associate-*l/
22×pow-prod-down
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:
720.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.3s
(* (/ 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))))
69.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series675.0ms

Counts
4 → 10
Calls
4 calls:
93.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
496.0ms
(* (/ 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))))
86.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.6s

Counts
165 → 165
Iterations

Useful iterations: done (3.6s)

IterNodesCost
034295307
1121688103
done500181380

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

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)))) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (/ (sqrt 1.0) (sqrt 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)))
0.3b
(* (/ (sqrt 1.0) (sqrt 21.0)) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
1.0b
(sqrt PI)

rewrite36.1s

Algorithm
rewrite-expression-head
Rules
231×add-cbrt-cube add-exp-log
156×prod-exp cbrt-unprod
75×associate-*l*
65×times-frac
60×add-sqr-sqrt pow1
51×*-un-lft-identity add-cube-cbrt
49×sqrt-prod
43×pow-prod-down
41×associate-*l/
36×frac-add
33×cbrt-undiv div-exp
23×frac-times associate-*r/
14×flip3-+ 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 → 243
Calls
4 calls:
2.8s
(* (/ 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)))) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
90.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
33.1s
(* (/ (sqrt 1.0) (sqrt 21.0)) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
6.0ms
(sqrt PI)

series1.2s

Counts
4 → 10
Calls
4 calls:
741.0ms
(* (/ 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)))) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
78.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
343.0ms
(* (/ (sqrt 1.0) (sqrt 21.0)) (* (/ (sqrt 1.0) (sqrt 21.0)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
0.0ms
(sqrt PI)

simplify5.8s

Counts
253 → 253
Iterations

Useful iterations: done (5.6s)

IterNodesCost
0506194007
11964165119
done5000159356

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.2 (pow (fabs x) 5))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 0.6666666666666666) (/ (* (pow (fabs x) 7) 1.0) 21.0)))) (sqrt (/ 1 PI)))
0.3b
(/ (* (pow (fabs x) 7) 1.0) 21.0)

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
26×associate-*r* add-exp-log
25×pow1
20×*-un-lft-identity
19×add-cube-cbrt
18×add-cbrt-cube
16×sqrt-prod
14×times-frac
10×prod-exp
8×unswap-sqr
7×associate-*l*
6×pow-plus pow-prod-up cbrt-unprod
4×unpow-prod-down div-exp pow-prod-down add-log-exp
3×associate-/r* sqrt-div *-commutative
2×pow2 frac-times pow-to-exp cbrt-undiv flip3-+ associate-*l/ pow-exp pow-sqr flip-+ div-inv sqr-pow
1×clear-num frac-2neg pow3 associate-*r/ associate-/l*
Counts
4 → 115
Calls
4 calls:
13.0ms
(* 0.2 (pow (fabs x) 5))
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0s
(* (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 0.6666666666666666) (/ (* (pow (fabs x) 7) 1.0) 21.0)))) (sqrt (/ 1 PI)))
9.0ms
(/ (* (pow (fabs x) 7) 1.0) 21.0)

series635.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* 0.2 (pow (fabs x) 5))
34.0ms
(* (* (fabs x) (fabs x)) (fabs x))
416.0ms
(* (+ (* 0.2 (pow (fabs x) 5)) (+ (* 2.0 (fabs x)) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 0.6666666666666666) (/ (* (pow (fabs x) 7) 1.0) 21.0)))) (sqrt (/ 1 PI)))
95.0ms
(/ (* (pow (fabs x) 7) 1.0) 21.0)

simplify2.7s

Counts
127 → 127
Iterations

Useful iterations: done (2.6s)

IterNodesCost
022875161
156870553
2303969634
done500169284

prune856.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
028847
141847
done41847

end0.0ms

sample3.5s

Algorithm
intervals
Results
3.2s14022×body80valid