Details

Time bar (total: 36.8s)

sample128.0ms

Algorithm
intervals
Results
104.0ms446×body80valid

simplify1.7s

Counts
1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.5s

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×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 → 187
Calls
4 calls:
Slowest
8.5s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.9s
(* (/ 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)

series512.0ms

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)))))
77.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.4s

Counts
197 → 197

prune3.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(* 1/21 (pow (fabs x) 7))
0.2b
(* (/ 2 3) (* (* (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 (pow (fabs x) 7))))

rewrite660.0ms

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 insert-posit16 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 → 132
Calls
4 calls:
Slowest
585.0ms
(* (/ 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))))
63.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
8.0ms
(* 1/21 (pow (fabs x) 7))
1.0ms
(sqrt PI)

series478.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
342.0ms
(* (/ 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))))
77.0ms
(* 1/21 (pow (fabs x) 7))
59.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.4s

Counts
142 → 142

prune2.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.4b
(* (fabs x) 1/21)
0.3b
(/ (fabs x) (sqrt PI))
0.2b
(* (* (fabs x) (fabs x)) (+ (* (fabs x) (* (fabs x) 1/21)) 1/5))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
27×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-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×associate-/l*
2×associate-*r/ *-commutative unswap-sqr
1×distribute-rgt-in cbrt-undiv rem-sqrt-square clear-num frac-2neg distribute-lft-in sqrt-pow1 flip3-+ pow1/2 div-exp flip-+ div-inv
Counts
4 → 97
Calls
4 calls:
Slowest
66.0ms
(* (* (fabs x) (fabs x)) (+ (* (fabs x) (* (fabs x) 1/21)) 1/5))
11.0ms
(/ (fabs x) (sqrt PI))
5.0ms
(* (fabs x) 1/21)
1.0ms
(sqrt PI)

series201.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
95.0ms
(* (* (fabs x) (fabs x)) (+ (* (fabs x) (* (fabs x) 1/21)) 1/5))
79.0ms
(/ (fabs x) (sqrt PI))
27.0ms
(* (fabs x) 1/21)
0.0ms
(sqrt PI)

simplify692.0ms

Counts
107 → 107

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.4b
(* 2/3 (fabs x))
0.3b
(* (pow (fabs x) 7) 1/21)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
11×*-un-lft-identity add-exp-log add-cube-cbrt
10×associate-*l*
8×pow1 add-cbrt-cube
6×associate-*r* sqrt-prod
4×unpow-prod-down prod-exp insert-posit16 add-log-exp unswap-sqr
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative cbrt-unprod sqr-pow
1×pow-to-exp pow-prod-down pow-exp
Counts
4 → 73
Calls
4 calls:
Slowest
21.0ms
(* 2/3 (fabs x))
11.0ms
(* (pow (fabs x) 7) 1/21)
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series127.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
110.0ms
(* (pow (fabs x) 7) 1/21)
18.0ms
(* 2/3 (fabs x))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify2.6s

Counts
81 → 81

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.2b remaining)

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

bsearch14.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
4.7s14042×body80valid