Details

Time bar (total: 43.1s)

sample136.0ms

Algorithm
intervals
Results
98.0ms479×body80valid

simplify5.0s

Counts
1 → 1
Iterations
IterNodes
done5000
42957
3854
2226
169
028

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize150.0ms

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)

rewrite4.2s

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
48×associate-*l*
44×prod-exp cbrt-unprod
42×add-sqr-sqrt
38×times-frac
36×pow1
33×add-cube-cbrt *-un-lft-identity
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:
1.4s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.6s
(* (/ 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)))))
131.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series860.0ms

Counts
4 → 10
Calls
4 calls:
118.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
662.0ms
(* (/ 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)))))
80.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify4.7s

Counts
165 → 165
Iterations
IterNodes
done5002
11190
0342

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
25×add-cbrt-cube
21×pow1 add-sqr-sqrt
17×prod-exp
14×associate-*r*
13×cbrt-unprod
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down
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:
22.0ms
(* 0.2 (pow (fabs x) 5))
22.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
1.0s
(* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666)) (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x)))) (* (pow (fabs x) 7) 0.047619047619047616)))
65.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))

series984.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* 0.2 (pow (fabs x) 5))
133.0ms
(* (pow (fabs x) 7) 0.047619047619047616)
646.0ms
(* (* 1.0 (sqrt (/ 1 PI))) (+ (+ (* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666)) (+ (* 0.2 (pow (fabs x) 5)) (* 2.0 (fabs x)))) (* (pow (fabs x) 7) 0.047619047619047616)))
86.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) 0.6666666666666666))

simplify4.4s

Counts
109 → 109
Iterations
IterNodes
done5001
22339
1567
0201

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b
(* (* (fabs x) (fabs x)) (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (/ 21.0 1.0)) (/ 2.0 3.0)))
1.0b
(sqrt PI)

rewrite644.0ms

Algorithm
rewrite-expression-head
Rules
232×pow1
72×pow-prod-up
49×pow-prod-down
44×pow-sqr
36×pow-plus
33×add-exp-log add-cbrt-cube
26×pow2
19×prod-exp cbrt-unprod
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt associate-*r*
4×add-log-exp
3×associate-*r/ associate-*l* sqrt-prod *-commutative unswap-sqr
2×swap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 flip3-+ pow1/2 frac-add flip-+ distribute-lft-out
Counts
4 → 164
Calls
4 calls:
72.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
63.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
489.0ms
(* (* (fabs x) (fabs x)) (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (/ 21.0 1.0)) (/ 2.0 3.0)))
2.0ms
(sqrt PI)

series275.0ms

Counts
4 → 10
Calls
4 calls:
58.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
51.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
166.0ms
(* (* (fabs x) (fabs x)) (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (/ 21.0 1.0)) (/ 2.0 3.0)))
0.0ms
(sqrt PI)

simplify3.7s

Counts
174 → 174
Iterations
IterNodes
done5000
21686
1408
0122

prune994.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize156.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (fabs x)) (/ 2.0 3.0))
1.0b
(* (/ 1.0 21.0) (/ (cbrt 1.0) (sqrt PI)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite642.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
68×times-frac
53×associate-*r*
45×add-cube-cbrt *-un-lft-identity
28×add-exp-log sqrt-prod
26×add-cbrt-cube
22×cbrt-prod
14×associate-*l*
13×pow1
12×unswap-sqr
10×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×pow-prod-down add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative
1×frac-times associate-*l/
Counts
4 → 144
Calls
4 calls:
55.0ms
(* (* (fabs x) (fabs x)) (/ 2.0 3.0))
568.0ms
(* (/ 1.0 21.0) (/ (cbrt 1.0) (sqrt PI)))
2.0ms
(sqrt PI)
3.0ms
(sqrt PI)

series57.0ms

Counts
4 → 6
Calls
4 calls:
56.0ms
(* (* (fabs x) (fabs x)) (/ 2.0 3.0))
0.0ms
(* (/ 1.0 21.0) (/ (cbrt 1.0) (sqrt PI)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify5.0s

Counts
150 → 150
Iterations
IterNodes
done5000
22646
1770
0253

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes388.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations
IterNodes
done39
139
027

end0.0ms

sample4.6s

Algorithm
intervals
Results
4.2s13905×body80valid