Details

Time bar (total: 25.5s)

sample150.0ms

Algorithm
intervals
Results
111.0ms461×body80valid

simplify3.1s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
0.2b
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
0.2b
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
1.0b
(sqrt PI)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
26×add-cbrt-cube add-exp-log
20×add-sqr-sqrt pow1
19×associate-*r*
14×*-un-lft-identity associate-*r/ add-cube-cbrt
12×prod-exp cbrt-unprod
10×times-frac
9×pow-prod-down
5×frac-add
4×add-log-exp unswap-sqr
3×flip3-+ associate-*l* *-commutative sqrt-prod flip-+
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 98
Calls
4 calls:
51.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
22.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
82.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
1.0ms
(sqrt PI)

series300.0ms

Counts
4 → 10
Calls
4 calls:
107.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
36.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
156.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
0.0ms
(sqrt PI)

simplify2.7s

Counts
108 → 108
Iterations
IterNodes
done5010
23325
1712
0205

prune814.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
0.2b
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (fabs x) (* (fabs x) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0)))))))
0.3b
(* (fabs x) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
1.0b
(sqrt PI)

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
22×add-sqr-sqrt
19×associate-*r*
17×pow1 associate-*r/
15×*-un-lft-identity add-cube-cbrt
10×times-frac prod-exp cbrt-unprod
7×pow-prod-down
5×associate-*l* frac-add
4×add-log-exp unswap-sqr
3×flip3-+ *-commutative sqrt-prod flip-+
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 97
Calls
4 calls:
36.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
141.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (fabs x) (* (fabs x) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0)))))))
65.0ms
(* (fabs x) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
2.0ms
(sqrt PI)

series251.0ms

Counts
4 → 10
Calls
4 calls:
38.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
148.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (fabs x) (* (fabs x) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0)))))))
64.0ms
(* (fabs x) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
0.0ms
(sqrt PI)

simplify2.7s

Counts
107 → 107
Iterations
IterNodes
done5003
22864
1724
0207

prune823.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (fabs x)) 5.0)
0.2b
(/ (* (* 1.0 (+ (* (* (fabs x) (fabs x)) 5.0) 21.0)) (fabs x)) (* 5.0 21.0))
0.2b
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (fabs x) (/ (* (* 1.0 (+ (* (* (fabs x) (fabs x)) 5.0) 21.0)) (fabs x)) (* 5.0 21.0)))))
1.0b
(sqrt PI)

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
35×add-cbrt-cube add-exp-log
15×pow1 prod-exp cbrt-unprod
10×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×cbrt-undiv div-exp associate-*r* pow-prod-down associate-*r/
4×add-log-exp
3×sqrt-prod
2×flip3-+ associate-*l* associate-*l/ *-commutative flip-+ unswap-sqr associate-/l/
1×distribute-rgt-in rem-sqrt-square clear-num associate-/r* frac-2neg distribute-lft-in sqrt-pow1 times-frac pow1/2 frac-add div-inv associate-/l*
Counts
4 → 83
Calls
4 calls:
30.0ms
(* (* (fabs x) (fabs x)) 5.0)
101.0ms
(/ (* (* 1.0 (+ (* (* (fabs x) (fabs x)) 5.0) 21.0)) (fabs x)) (* 5.0 21.0))
75.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (fabs x) (/ (* (* 1.0 (+ (* (* (fabs x) (fabs x)) 5.0) 21.0)) (fabs x)) (* 5.0 21.0)))))
1.0ms
(sqrt PI)

series319.0ms

Counts
4 → 10
Calls
4 calls:
57.0ms
(* (* (fabs x) (fabs x)) 5.0)
110.0ms
(/ (* (* 1.0 (+ (* (* (fabs x) (fabs x)) 5.0) 21.0)) (fabs x)) (* 5.0 21.0))
151.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (fabs x) (/ (* (* 1.0 (+ (* (* (fabs x) (fabs x)) 5.0) 21.0)) (fabs x)) (* 5.0 21.0)))))
0.0ms
(sqrt PI)

simplify2.4s

Counts
93 → 93
Iterations
IterNodes
done5002
23249
1608
0183

prune618.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (* (fabs x) (fabs x)) (- (* (/ 1.0 5.0) (/ 1.0 5.0)) (* (* (* (fabs x) (fabs x)) (/ 1.0 21.0)) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))) (- (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
0.2b
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) (- (* (/ 1.0 5.0) (/ 1.0 5.0)) (* (* (* (fabs x) (fabs x)) (/ 1.0 21.0)) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))) (- (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
1.0b
(* (/ 1.0 5.0) (/ 1.0 5.0))
1.0b
(sqrt PI)

rewrite420.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
43×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
34×associate-*r/
30×add-cbrt-cube add-exp-log
17×pow1 associate-*r*
14×associate-*l*
13×swap-sqr
11×associate-/l/
10×prod-exp frac-sub cbrt-unprod
7×frac-times cbrt-undiv div-exp associate-*l/
5×div-inv unswap-sqr
4×pow-prod-down add-log-exp
3×associate-/r* associate-/r/ sqrt-prod
2×flip3-- *-commutative flip--
1×pow2 distribute-rgt-in rem-sqrt-square clear-num frac-2neg distribute-lft-in sqrt-pow1 flip3-+ pow-plus pow1/2 frac-add pow-sqr pow-prod-up flip-+ distribute-lft-out associate-/l*
Counts
4 → 142
Calls
4 calls:
136.0ms
(/ (* (* (fabs x) (fabs x)) (- (* (/ 1.0 5.0) (/ 1.0 5.0)) (* (* (* (fabs x) (fabs x)) (/ 1.0 21.0)) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))) (- (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
256.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) (- (* (/ 1.0 5.0) (/ 1.0 5.0)) (* (* (* (fabs x) (fabs x)) (/ 1.0 21.0)) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))) (- (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
21.0ms
(* (/ 1.0 5.0) (/ 1.0 5.0))
1.0ms
(sqrt PI)

series622.0ms

Counts
4 → 8
Calls
4 calls:
236.0ms
(/ (* (* (fabs x) (fabs x)) (- (* (/ 1.0 5.0) (/ 1.0 5.0)) (* (* (* (fabs x) (fabs x)) (/ 1.0 21.0)) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))) (- (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
386.0ms
(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) (- (* (/ 1.0 5.0) (/ 1.0 5.0)) (* (* (* (fabs x) (fabs x)) (/ 1.0 21.0)) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))) (- (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
0.0ms
(* (/ 1.0 5.0) (/ 1.0 5.0))
0.0ms
(sqrt PI)

simplify3.6s

Counts
150 → 150
Iterations
IterNodes
done5018
24286
1915
0274

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes548.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
done36
136
025

end0.0ms

sample3.5s

Algorithm
intervals
Results
3.2s14104×body80valid