Details

Time bar (total: 1.3m)

sample106.0ms

Algorithm
intervals
Results
78.0ms440×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5002
44087
3873
2228
169
028

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize106.0ms

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)

rewrite11.9s

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:
1.3s
(* (/ 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)))))
64.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
10.6s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series594.0ms

Counts
4 → 10
Calls
4 calls:
400.0ms
(* (/ 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)))))
82.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
111.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.8s

Counts
175 → 175
Iterations
IterNodes
done5000
11361
0376

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize87.0ms

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:
769.0ms
(* (/ 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))))
61.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series633.0ms

Counts
4 → 10
Calls
4 calls:
103.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
462.0ms
(* (/ 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))))
67.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.5s

Counts
165 → 165
Iterations
IterNodes
done5001
11216
0342

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize118.0ms

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)

rewrite36.0s

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:
3.0s
(* (/ 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))))))
70.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
33.0s
(* (/ (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))))
1.0ms
(sqrt PI)

series1.2s

Counts
4 → 10
Calls
4 calls:
842.0ms
(* (/ 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))))))
68.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
306.0ms
(* (/ (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)

simplify4.4s

Counts
253 → 253
Iterations
IterNodes
done5000
11964
0506

prune2.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 5) 0.2)
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (+ (* (pow (fabs x) 5) 0.2) (+ (* 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)

rewrite2.2s

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
26×add-exp-log
25×pow1
22×associate-*r*
20×*-un-lft-identity
19×add-cube-cbrt
18×add-cbrt-cube
16×sqrt-prod
14×times-frac
11×associate-*l*
10×prod-exp
8×unswap-sqr
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:
19.0ms
(* (pow (fabs x) 5) 0.2)
28.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.1s
(* (+ (* (pow (fabs x) 5) 0.2) (+ (* 2.0 (fabs x)) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 0.6666666666666666) (/ (* (pow (fabs x) 7) 1.0) 21.0)))) (sqrt (/ 1 PI)))
11.0ms
(/ (* (pow (fabs x) 7) 1.0) 21.0)

series637.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (pow (fabs x) 5) 0.2)
41.0ms
(* (* (fabs x) (fabs x)) (fabs x))
404.0ms
(* (+ (* (pow (fabs x) 5) 0.2) (+ (* 2.0 (fabs x)) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) 0.6666666666666666) (/ (* (pow (fabs x) 7) 1.0) 21.0)))) (sqrt (/ 1 PI)))
127.0ms
(/ (* (pow (fabs x) 7) 1.0) 21.0)

simplify2.3s

Counts
127 → 127
Iterations
IterNodes
done5001
23097
1562
0227

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes248.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations
IterNodes
done41
141
028

end0.0ms

sample3.6s

Algorithm
intervals
Results
3.2s14022×body80valid