Details

Time bar (total: 49.8s)

sample170.0ms

Algorithm
intervals
Results
145.0ms478×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
44611
31089
2240
174
028

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 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)

rewrite9.5s

Algorithm
rewrite-expression-head
Rules
257×add-exp-log
184×prod-exp
147×add-cbrt-cube
98×cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac div-exp
26×*-un-lft-identity add-cube-cbrt
15×cbrt-undiv
12×rec-exp 1-exp
4×insert-posit16 add-log-exp
3×associate-*r* associate-*l/ *-commutative sqrt-prod div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 185
Calls
4 calls:
8.9s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
590.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
76.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series233.0ms

Counts
4 → 10
Calls
4 calls:
86.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
77.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
69.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.0s

Counts
195 → 195
Iterations
IterNodes
22443
1931
0321

prune3.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/21 (pow (fabs x) 7))
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)

rewrite734.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×prod-exp
72×add-cbrt-cube
43×cbrt-unprod
34×pow1
29×associate-*l*
28×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
21×pow-prod-down
18×times-frac
13×div-exp
9×associate-*r*
8×cbrt-undiv
5×rec-exp 1-exp
4×unpow-prod-down insert-posit16 add-log-exp
3×*-commutative sqrt-prod unswap-sqr
2×associate-*l/ div-inv sqr-pow
1×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp
Counts
4 → 138
Calls
4 calls:
9.0ms
(* 1/21 (pow (fabs x) 7))
659.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
62.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series246.0ms

Counts
4 → 10
Calls
4 calls:
103.0ms
(* 1/21 (pow (fabs x) 7))
88.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
54.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify4.6s

Counts
148 → 148
Iterations
IterNodes
36897
21765
1648
0244

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize114.0ms

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 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) 21)))
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)

rewrite1.4s

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
37×*-un-lft-identity
36×pow1
33×add-cube-cbrt
22×pow-prod-down
15×div-exp
14×sqrt-prod
12×frac-add
9×cbrt-undiv
7×associate-*l/
6×frac-times rec-exp flip3-+ 1-exp associate-*r* associate-*r/ flip-+
5×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 distribute-lft-out
Counts
4 → 174
Calls
4 calls:
680.0ms
(* (/ 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 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) 21)))
663.0ms
(* (/ 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)

series479.0ms

Counts
4 → 10
Calls
4 calls:
355.0ms
(* (/ 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 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) 21)))
70.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
54.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.5s

Counts
184 → 184
Iterations
IterNodes
24301
11220
0352

prune3.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite839.0ms

Algorithm
rewrite-expression-head
Rules
576×pow1
278×pow-prod-up
191×pow-plus
146×add-exp-log
112×pow-prod-down
106×add-cbrt-cube
99×prod-exp
86×pow-sqr
69×cbrt-unprod
53×pow2
27×associate-*l*
22×pow3
20×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
5×rec-exp 1-exp
4×insert-posit16 add-log-exp
3×associate-*r* *-commutative sqrt-prod
2×associate-*l/ div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 swap-sqr
Counts
4 → 304
Calls
4 calls:
630.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
126.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))
74.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series203.0ms

Counts
4 → 10
Calls
4 calls:
88.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x)))
55.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify4.7s

Counts
314 → 314
Iterations
IterNodes
37194
21898
1747
0257

prune5.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
242
142
027

end0.0ms

sample5.4s

Algorithm
intervals
Results
5.1s13877×body80valid