Details

Time bar (total: 40.8s)

sample147.0ms

Algorithm
intervals
Results
127.0ms459×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
44293
31082
2238
172
028

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
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)))
1.0b
(sqrt PI)

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
119×add-exp-log
76×prod-exp
75×add-cbrt-cube
48×associate-*l*
46×add-sqr-sqrt
44×cbrt-unprod
40×times-frac
36×pow1
35×*-un-lft-identity
33×add-cube-cbrt
22×pow-prod-down
15×div-exp associate-*l/
14×sqrt-prod
12×frac-add
9×cbrt-undiv
6×frac-times rec-exp flip3-+ 1-exp associate-*r/ flip-+
5×associate-*r* unswap-sqr
4×insert-posit16 add-log-exp
3×*-commutative div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 173
Calls
4 calls:
659.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.8s
(* (/ 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)))))
77.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series505.0ms

Counts
4 → 10
Calls
4 calls:
93.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
352.0ms
(* (/ 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)))))
60.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.4s

Counts
183 → 183
Iterations
IterNodes
24749
11212
0354

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
23×associate-*r*
20×*-un-lft-identity
19×add-cube-cbrt
18×add-exp-log
16×associate-*l* sqrt-prod
15×add-cbrt-cube
13×pow1
11×times-frac
8×prod-exp unswap-sqr
6×cbrt-unprod
5×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
3×sqrt-div
2×frac-times flip3-+ associate-*l/ flip-+ sqr-pow
1×pow-to-exp pow-exp associate-*r/ div-inv
Counts
4 → 104
Calls
4 calls:
17.0ms
(* (pow (fabs x) 5) 1/5)
143.0ms
(* (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* (fabs x) (* (fabs x) 2/3))))) (* 1/21 (pow (fabs x) 7))) (sqrt (/ 1 PI)))
27.0ms
(* (fabs x) (* (fabs x) 2/3))
11.0ms
(* (fabs x) 2/3)

series598.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (pow (fabs x) 5) 1/5)
434.0ms
(* (+ (+ (* (pow (fabs x) 5) 1/5) (* (fabs x) (+ 2 (* (fabs x) (* (fabs x) 2/3))))) (* 1/21 (pow (fabs x) 7))) (sqrt (/ 1 PI)))
49.0ms
(* (fabs x) (* (fabs x) 2/3))
29.0ms
(* (fabs x) 2/3)

simplify5.8s

Counts
116 → 116
Iterations
IterNodes
39162
21700
1487
0197

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
18×times-frac
15×sqrt-prod
13×add-cbrt-cube add-exp-log
12×pow1
6×associate-/r* associate-*l*
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×associate-/l*
2×*-commutative associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp flip-+ div-inv unswap-sqr
Counts
4 → 94
Calls
4 calls:
15.0ms
(* (fabs x) (* (fabs x) 2/3))
160.0ms
(/ (+ (+ (* (+ 2 (* (fabs x) (* (fabs x) 2/3))) (fabs x)) (* (pow (fabs x) 7) 1/21)) (* (pow (fabs x) 5) 1/5)) (sqrt PI))
5.0ms
(* (fabs x) 2/3)
1.0ms
(sqrt PI)

series436.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(* (fabs x) (* (fabs x) 2/3))
382.0ms
(/ (+ (+ (* (+ 2 (* (fabs x) (* (fabs x) 2/3))) (fabs x)) (* (pow (fabs x) 7) 1/21)) (* (pow (fabs x) 5) 1/5)) (sqrt PI))
18.0ms
(* (fabs x) 2/3)
0.0ms
(sqrt PI)

simplify2.5s

Counts
104 → 104
Iterations
IterNodes
35059
21124
1353
0152

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21)
0.4b
(* (sqrt PI) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21))
1.0b
(sqrt PI)
31.5b
(/ (* 1 (+ (* (+ (* (- (* (* 2 (fabs x)) (* 2 (fabs x))) (* (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))) 5) (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* 1 (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) 21) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) (* 1 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (* (sqrt PI) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21)))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
64×associate-*l/ add-exp-log
50×add-cbrt-cube
35×prod-exp
25×cbrt-unprod
20×frac-add
19×pow1
18×associate-*r/
17×flip3-- flip--
14×associate-/l/
12×div-exp
9×add-sqr-sqrt pow-prod-down
8×cbrt-undiv *-un-lft-identity add-cube-cbrt
7×associate-*l*
6×sqrt-prod
4×1-exp associate-*r* insert-posit16 add-log-exp
3×flip3-+ flip-+
2×associate-/r/ *-commutative
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 times-frac pow1/2 div-inv associate-/l*
Counts
4 → 112
Calls
4 calls:
47.0ms
(* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21)
135.0ms
(* (sqrt PI) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21))
1.0ms
(sqrt PI)
2.1s
(/ (* 1 (+ (* (+ (* (- (* (* 2 (fabs x)) (* 2 (fabs x))) (* (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))) 5) (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* 1 (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) 21) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) (* 1 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (* (sqrt PI) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21)))

series837.0ms

Counts
4 → 10
Calls
4 calls:
91.0ms
(* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21)
162.0ms
(* (sqrt PI) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21))
0.0ms
(sqrt PI)
585.0ms
(/ (* 1 (+ (* (+ (* (- (* (* 2 (fabs x)) (* 2 (fabs x))) (* (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))) 5) (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* 1 (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) 21) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) (* 1 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) (* (sqrt PI) (* (* (- (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) 5) 21)))

simplify6.4s

Counts
122 → 122
Iterations
IterNodes
26057
1875
0243

prune2.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
233
133
024

end0.0ms

sample5.5s

Algorithm
intervals
Results
5.2s13905×body80valid