Details

Time bar (total: 20.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done47
447
343
228
114
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize8.0ms

Local error

Found 1 expressions with local error:

14.7b
(/ (+ x y) (* (* x 2.0) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
*-un-lft-identity
times-frac associate-/l*
add-sqr-sqrt cbrt-undiv div-exp prod-exp add-cube-cbrt cbrt-unprod
distribute-lft-out associate-/l/
pow1 clear-num associate-/r* frac-2neg flip3-+ flip-+ div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
30.0ms
(/ (+ x y) (* (* x 2.0) y))

series56.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify836.0ms

Counts
30 → 30
Iterations
IterNodes
done5000
2968
1216
073

prune94.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 0.5 y) (/ 0.5 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
times-frac
distribute-lft-out
add-sqr-sqrt add-cube-cbrt add-log-exp
div-inv
pow1 +-commutative sum-log flip3-+ add-cbrt-cube frac-add add-exp-log flip-+
Counts
1 → 17
Calls
1 calls:
25.0ms
(+ (/ 0.5 y) (/ 0.5 x))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(+ (/ 0.5 y) (/ 0.5 x))

simplify388.0ms

Counts
20 → 20
Iterations
IterNodes
done5000
2468
1117
046

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ y x) y)
0.0b
(/ 1 (/ 2.0 (/ (/ (+ y x) y) x)))
0.2b
(/ 2.0 (/ (/ (+ y x) y) x))
6.5b
(/ (/ (+ y x) y) x)

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
2715×times-frac
1465×*-un-lft-identity
1145×add-sqr-sqrt add-cube-cbrt
219×associate-/r*
160×distribute-lft-out
76×div-inv
54×add-exp-log
36×div-exp
34×add-cbrt-cube
26×associate-/l*
20×cbrt-undiv
associate-/r/
pow1
rec-exp clear-num frac-2neg 1-exp add-log-exp
associate-/l/
flip3-+ flip-+ pow-flip inv-pow
Counts
4 → 1019
Calls
4 calls:
24.0ms
(/ (+ y x) y)
67.0ms
(/ 1 (/ 2.0 (/ (/ (+ y x) y) x)))
30.0ms
(/ 2.0 (/ (/ (+ y x) y) x))
39.0ms
(/ (/ (+ y x) y) x)

series275.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (+ y x) y)
89.0ms
(/ 1 (/ 2.0 (/ (/ (+ y x) y) x)))
99.0ms
(/ 2.0 (/ (/ (+ y x) y) x))
59.0ms
(/ (/ (+ y x) y) x)

simplify2.9s

Counts
1031 → 1031
Iterations
IterNodes
done5000
13836
01266

prune3.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (* (/ (cbrt (+ y x)) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x))) (/ 2.0 (/ (/ (cbrt (+ y x)) y) (cbrt x))))
2.2b
(/ (/ (cbrt (+ y x)) y) (cbrt x))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
3344×times-frac
1534×*-un-lft-identity
1276×add-sqr-sqrt add-cube-cbrt
1050×cbrt-prod
473×associate-/r*
129×distribute-lft-out
111×add-exp-log
69×cbrt-undiv div-exp
61×add-cbrt-cube
53×div-inv
26×associate-/l*
16×prod-exp cbrt-unprod
pow1 add-log-exp associate-/l/
associate-/r/
clear-num frac-2neg pow1/3
frac-times associate-*l/ associate-*r/
Counts
4 → 1207
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
156.0ms
(/ (* (/ (cbrt (+ y x)) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x))) (/ 2.0 (/ (/ (cbrt (+ y x)) y) (cbrt x))))
24.0ms
(/ (/ (cbrt (+ y x)) y) (cbrt x))

series813.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt x)
288.0ms
(cbrt x)
64.0ms
(/ (* (/ (cbrt (+ y x)) (cbrt x)) (/ (cbrt (+ y x)) (cbrt x))) (/ 2.0 (/ (/ (cbrt (+ y x)) y) (cbrt x))))
175.0ms
(/ (/ (cbrt (+ y x)) y) (cbrt x))

simplify1.6s

Counts
1219 → 1219
Iterations
IterNodes
done5000
02008

prune8.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample1.1s

Algorithm
intervals
Results
816.0ms8000×body80valid