Details

Time bar (total: 34.9s)

sample166.0ms

Algorithm
intervals
Results
137.0ms436×body80valid

simplify2.4s

Counts
1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
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)))))

rewrite2.6s

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:
Slowest
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)))))
691.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series553.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
376.0ms
(* (/ 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)))))
99.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
78.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.9s

Counts
183 → 183

prune3.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.3b
(* (/ 1 (sqrt (sqrt PI))) (/ (+ (* (fabs x) (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 5) (* (* 1/21 (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))))) (* (fabs x) (+ (* 2/3 (* (fabs x) (fabs x))) 2))) (sqrt (sqrt PI))))
0.2b
(* 1/21 (* (fabs x) (fabs x)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
140×add-sqr-sqrt
114×sqrt-prod
108×times-frac
60×*-un-lft-identity
48×add-cube-cbrt
41×associate-*r*
34×associate-*l*
31×add-exp-log
29×unswap-sqr
21×add-cbrt-cube
13×pow1
11×prod-exp
9×distribute-lft-out
8×div-exp
7×cbrt-unprod
4×cbrt-undiv pow-prod-down insert-posit16 add-log-exp
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp *-commutative div-inv
1×frac-times associate-*l/ associate-*r/
Counts
4 → 172
Calls
4 calls:
Slowest
96.0ms
(* (/ 1 (sqrt (sqrt PI))) (/ (+ (* (fabs x) (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 5) (* (* 1/21 (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))))) (* (fabs x) (+ (* 2/3 (* (fabs x) (fabs x))) 2))) (sqrt (sqrt PI))))
13.0ms
(* 1/21 (* (fabs x) (fabs x)))
10.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series412.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
368.0ms
(* (/ 1 (sqrt (sqrt PI))) (/ (+ (* (fabs x) (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 5) (* (* 1/21 (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))))) (* (fabs x) (+ (* 2/3 (* (fabs x) (fabs x))) 2))) (sqrt (sqrt PI))))
44.0ms
(* 1/21 (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify2.1s

Counts
180 → 180

prune3.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.3b
(* (/ (fabs x) (sqrt (sqrt PI))) (/ (+ (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 5) (* (* 1/21 (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))))) (+ (* 2/3 (* (fabs x) (fabs x))) 2)) (sqrt (sqrt PI))))
0.2b
(* 1/21 (* (fabs x) (fabs x)))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
93×sqrt-prod
87×times-frac
66×*-un-lft-identity
48×add-cube-cbrt
41×associate-*r*
34×associate-*l*
21×add-cbrt-cube add-exp-log
17×unswap-sqr
13×pow1
9×distribute-lft-out
7×prod-exp cbrt-unprod
4×cbrt-undiv div-exp pow-prod-down insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative div-inv
1×frac-times associate-*l/ associate-*r/
Counts
4 → 156
Calls
4 calls:
Slowest
988.0ms
(* (/ (fabs x) (sqrt (sqrt PI))) (/ (+ (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 5) (* (* 1/21 (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))))) (+ (* 2/3 (* (fabs x) (fabs x))) 2)) (sqrt (sqrt PI))))
13.0ms
(* 1/21 (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series406.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
354.0ms
(* (/ (fabs x) (sqrt (sqrt PI))) (/ (+ (+ (/ (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 5) (* (* 1/21 (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))))) (+ (* 2/3 (* (fabs x) (fabs x))) 2)) (sqrt (sqrt PI))))
51.0ms
(* 1/21 (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.6s

Counts
164 → 164

prune2.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

25.8b
(cbrt (* 1/21 (* (fabs x) (fabs x))))
25.8b
(cbrt (* 1/21 (* (fabs x) (fabs x))))
25.8b
(cbrt (* 1/21 (* (fabs x) (fabs x))))
1.0b
(sqrt PI)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×cbrt-prod pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 44
Calls
4 calls:
Slowest
15.0ms
(cbrt (* 1/21 (* (fabs x) (fabs x))))
12.0ms
(cbrt (* 1/21 (* (fabs x) (fabs x))))
8.0ms
(cbrt (* 1/21 (* (fabs x) (fabs x))))
1.0ms
(sqrt PI)

series652.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
229.0ms
(cbrt (* 1/21 (* (fabs x) (fabs x))))
212.0ms
(cbrt (* 1/21 (* (fabs x) (fabs x))))
210.0ms
(cbrt (* 1/21 (* (fabs x) (fabs x))))
0.0ms
(sqrt PI)

simplify4.4s

Counts
54 → 54

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes356.0ms

Accuracy

0% (0.2b remaining)

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

bsearch19.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
4.5s14090×body80valid