Details

Time bar (total: 31.6s)

sample95.0ms

Algorithm
intervals
Results
73.0ms445×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5013
43015
3855
2226
169
028

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize113.0ms

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)

rewrite2.4s

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
22×pow-prod-down
15×associate-*l/
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:
868.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.4s
(* (/ 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)))))
75.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series621.0ms

Counts
4 → 10
Calls
4 calls:
101.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
466.0ms
(* (/ 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)))))
53.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.0s

Counts
165 → 165
Iterations
IterNodes
done5000
11190
0342

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
25×add-cbrt-cube
21×add-sqr-sqrt pow1
17×prod-exp
14×associate-*r*
13×cbrt-unprod
12×associate-*l*
11×*-un-lft-identity pow-prod-down add-cube-cbrt
8×unpow-prod-down
6×unswap-sqr
5×associate-*r/
4×*-commutative add-log-exp sqr-pow
3×sqrt-div
2×frac-times pow-to-exp flip3-+ pow-exp flip-+
1×distribute-rgt-in distribute-lft-in associate-*l/
Counts
4 → 97
Calls
4 calls:
10.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
12.0ms
(* 0.2 (pow (fabs x) 5))
413.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))
44.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))

series706.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
68.0ms
(* 0.2 (pow (fabs x) 5))
474.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))
59.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))

simplify2.4s

Counts
109 → 109
Iterations
IterNodes
done5000
22323
1567
0201

prune936.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-exp-log
16×add-cbrt-cube
13×*-un-lft-identity add-cube-cbrt
10×pow1 associate-*l* associate-*r/
9×sqrt-prod
7×prod-exp
6×associate-/r* times-frac associate-/l/
5×flip3-+ cbrt-unprod flip-+
4×unpow-prod-down associate-*r* frac-add add-log-exp
3×pow-prod-down unswap-sqr
2×cbrt-undiv div-exp *-commutative sqr-pow
1×pow-to-exp rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-exp div-inv associate-/l*
Counts
4 → 89
Calls
4 calls:
10.0ms
(* (pow (fabs x) 5) 0.2)
15.0ms
(* (fabs x) (* 0.6666666666666666 (fabs x)))
50.0ms
(/ (* 1.0 (+ (* (fabs x) (+ 2.0 (* (fabs x) (* 0.6666666666666666 (fabs x))))) (+ (* (pow (fabs x) 7) 0.047619047619047616) (* (pow (fabs x) 5) 0.2)))) (sqrt PI))
1.0ms
(sqrt PI)

series635.0ms

Counts
4 → 10
Calls
4 calls:
84.0ms
(* (pow (fabs x) 5) 0.2)
37.0ms
(* (fabs x) (* 0.6666666666666666 (fabs x)))
514.0ms
(/ (* 1.0 (+ (* (fabs x) (+ 2.0 (* (fabs x) (* 0.6666666666666666 (fabs x))))) (+ (* (pow (fabs x) 7) 0.047619047619047616) (* (pow (fabs x) 5) 0.2)))) (sqrt PI))
0.0ms
(sqrt PI)

simplify2.5s

Counts
99 → 99
Iterations
IterNodes
done5000
22396
1515
0185

prune709.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))
0.2b
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))
0.2b
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))
0.5b
(* (sqrt (* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))) (sqrt (* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
160×pow1
99×sqrt-div
90×pow-prod-down
70×associate-*r/
60×sqrt-pow1
51×frac-times
35×add-cbrt-cube add-exp-log
26×flip3-+ flip-+
20×prod-exp cbrt-unprod
18×associate-*l/
17×pow-prod-up
12×pow1/2
11×add-sqr-sqrt pow-sqr
9×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
4×swap-sqr *-commutative sqrt-prod add-log-exp
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod unswap-sqr
Counts
4 → 170
Calls
4 calls:
393.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))
42.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))
24.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))
1.2s
(* (sqrt (* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))) (sqrt (* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
457.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))
56.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))
74.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))
495.0ms
(* (sqrt (* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))) (sqrt (* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x))) (* (pow (fabs x) 7) 0.047619047619047616)) (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))))))

simplify3.8s

Counts
182 → 182
Iterations
IterNodes
done5020
22396
1581
0234

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes358.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done41
141
028

end0.0ms

sample3.7s

Algorithm
intervals
Results
3.3s14080×body80valid