Details

Time bar (total: 48.7s)

sample219.0ms

Algorithm
intervals
Results
185.0ms468×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
44293
31082
2238
172
028

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.4s

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:
1.7s
(* (/ 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)))))
635.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
57.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series506.0ms

Counts
4 → 10
Calls
4 calls:
392.0ms
(* (/ 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)))))
69.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
46.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.3s

Counts
183 → 183
Iterations
IterNodes
24750
11227
0354

prune2.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (/ 1 5))
1.0b
(cbrt (/ 1 5))
1.0b
(cbrt (/ 1 5))
1.0b
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 157
Calls
4 calls:
1.0ms
(cbrt (/ 1 5))
1.0ms
(cbrt (/ 1 5))
1.0ms
(cbrt (/ 1 5))
11.0ms
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt (/ 1 5))
0.0ms
(cbrt (/ 1 5))
0.0ms
(cbrt (/ 1 5))
0.0ms
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))

simplify3.6s

Counts
161 → 161
Iterations
IterNodes
54441
41591
3601
2342
1215
0131

prune3.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
114×sqrt-prod
108×times-frac
61×*-un-lft-identity
49×add-cube-cbrt
43×associate-*r*
34×associate-*l*
29×unswap-sqr
28×add-exp-log
18×add-cbrt-cube
10×pow1
9×prod-exp distribute-lft-out
8×div-exp
5×cbrt-unprod
4×cbrt-undiv insert-posit16 add-log-exp
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down *-commutative div-inv
1×frac-times associate-*l/ associate-*r/
Counts
4 → 171
Calls
4 calls:
9.0ms
(* (fabs x) 2/3)
137.0ms
(* (/ 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 (* (fabs x) (* (fabs x) 2/3))))) (sqrt (sqrt PI))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series374.0ms

Counts
4 → 8
Calls
4 calls:
17.0ms
(* (fabs x) 2/3)
357.0ms
(* (/ 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 (* (fabs x) (* (fabs x) 2/3))))) (sqrt (sqrt PI))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify2.0s

Counts
179 → 179
Iterations
IterNodes
22228
1731
0238

prune3.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (/ 1 (sqrt (sqrt (sqrt PI)))) (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 (* (fabs x) (* (fabs x) 2/3))))) (sqrt (sqrt (sqrt PI)))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
1410×sqrt-prod
1099×times-frac
972×add-sqr-sqrt
442×*-un-lft-identity
382×add-cube-cbrt
364×associate-*l*
140×unswap-sqr
52×associate-*r*
39×add-exp-log
25×add-cbrt-cube
17×div-exp
12×distribute-lft-out
11×div-inv
10×prod-exp
9×pow1 cbrt-undiv
6×cbrt-unprod
4×insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×rec-exp 1-exp
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 627
Calls
4 calls:
159.0ms
(* (/ (/ 1 (sqrt (sqrt (sqrt PI)))) (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 (* (fabs x) (* (fabs x) 2/3))))) (sqrt (sqrt (sqrt PI)))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series414.0ms

Counts
4 → 6
Calls
4 calls:
414.0ms
(* (/ (/ 1 (sqrt (sqrt (sqrt PI)))) (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 (* (fabs x) (* (fabs x) 2/3))))) (sqrt (sqrt (sqrt PI)))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify4.0s

Counts
633 → 633
Iterations
IterNodes
24795
11479
0448

prune13.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations
IterNodes
248
148
031

end0.0ms

sample5.5s

Algorithm
intervals
Results
5.2s13989×body80valid