Details

Time bar (total: 1.2m)

sample185.0ms

Algorithm
intervals
Results
157.0ms457×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
44293
31082
2238
172
028

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite9.3s

Algorithm
rewrite-expression-head
Rules
181×add-exp-log
128×prod-exp
107×add-cbrt-cube
70×cbrt-unprod
51×pow1
48×associate-*l*
46×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity pow-prod-down
33×add-cube-cbrt
19×div-exp
15×associate-*l/
14×sqrt-prod
12×frac-add
11×cbrt-undiv
8×rec-exp 1-exp
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r* unswap-sqr
4×add-log-exp
3×*-commutative div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 183
Calls
4 calls:
1.6s
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
44.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
7.7s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series528.0ms

Counts
4 → 10
Calls
4 calls:
360.0ms
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
74.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
94.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.3s

Counts
193 → 193
Iterations
IterNodes
24569
11361
0388

prune3.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* 1/21 (pow (fabs x) 7))))
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(* 1/21 (pow (fabs x) 7))
1.0b
(sqrt PI)

rewrite662.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
39×add-exp-log
38×associate-*l*
32×add-cbrt-cube
31×*-un-lft-identity times-frac
29×add-cube-cbrt
19×prod-exp
16×pow1
15×cbrt-unprod
14×sqrt-prod
11×associate-*r*
8×unswap-sqr
7×pow-prod-down
5×div-exp
4×cbrt-undiv unpow-prod-down add-log-exp
3×*-commutative
2×frac-times flip3-+ associate-*l/ associate-*r/ flip-+ div-inv sqr-pow
1×distribute-rgt-in pow-to-exp rem-sqrt-square rec-exp distribute-lft-in sqrt-pow1 pow1/2 1-exp pow-exp
Counts
4 → 128
Calls
4 calls:
582.0ms
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* 1/21 (pow (fabs x) 7))))
68.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
7.0ms
(* 1/21 (pow (fabs x) 7))
1.0ms
(sqrt PI)

series576.0ms

Counts
4 → 10
Calls
4 calls:
409.0ms
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* 1/21 (pow (fabs x) 7))))
50.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
117.0ms
(* 1/21 (pow (fabs x) 7))
0.0ms
(sqrt PI)

simplify1.5s

Counts
138 → 138
Iterations
IterNodes
22746
1759
0243

prune2.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)
7.5b
(sqrt (pow (fabs x) 7))
7.5b
(sqrt (pow (fabs x) 7))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube add-exp-log
21×add-sqr-sqrt
17×sqrt-prod
16×*-un-lft-identity add-cube-cbrt
14×pow1
13×associate-*l*
12×prod-exp cbrt-unprod
9×times-frac
8×unpow-prod-down
7×rem-sqrt-square
6×pow-prod-down
4×add-log-exp sqr-pow
3×cbrt-undiv sqrt-pow1 pow1/2 div-exp
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
61.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)
3.0ms
(sqrt (pow (fabs x) 7))
4.0ms
(sqrt (pow (fabs x) 7))

series268.0ms

Counts
4 → 10
Calls
4 calls:
70.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)
95.0ms
(sqrt (pow (fabs x) 7))
102.0ms
(sqrt (pow (fabs x) 7))

simplify1.5s

Counts
99 → 99
Iterations
IterNodes
33079
2782
1278
0124

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
1.0b
(sqrt PI)

rewrite26.2s

Algorithm
rewrite-expression-head
Rules
771×add-exp-log
580×prod-exp
231×add-cbrt-cube
156×cbrt-unprod
119×div-exp
60×pow1
58×rec-exp 1-exp
57×associate-*l*
52×add-sqr-sqrt
49×times-frac
43×pow-prod-down
41×*-un-lft-identity associate-*l/
39×add-cube-cbrt
36×frac-add
33×cbrt-undiv
23×frac-times associate-*r/ sqrt-prod
14×flip3-+ flip-+
5×associate-*r* unswap-sqr
4×add-log-exp
3×*-commutative div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 315
Calls
4 calls:
3.5s
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
47.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
22.6s
(* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
1.0ms
(sqrt PI)

series882.0ms

Counts
4 → 10
Calls
4 calls:
554.0ms
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
80.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
249.0ms
(* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
0.0ms
(sqrt PI)

simplify6.9s

Counts
325 → 325
Iterations
IterNodes
26365
11889
0588

prune6.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes96.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
243
143
029

end0.0ms

sample5.2s

Algorithm
intervals
Results
5.0s14111×body80valid