Details

Time bar (total: 43.7s)

sample58.0ms

Algorithm
intervals
Results
39.0ms250×body80valid
1.0ms3×body640valid
0.0ms2×body320valid
0.0ms1×body1280valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
21.0ms
(+ x (/ (fabs (- y x)) 2.0))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify8.9s

Counts
15 → 15
Iterations
IterNodes
done5002
53011
41233
3511
2215
184
031

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
36.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(+ x (/ (fabs (- y x)) 2.0))
21.0ms
(+ x (/ (fabs (- y x)) 2.0))
172.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
36.0ms
(+ x (/ (fabs (- y x)) 2.0))
38.0ms
(+ x (/ (fabs (- y x)) 2.0))
60.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify5.2s

Counts
114 → 114
Iterations
IterNodes
done5007
32307
2779
1298
0129

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
158.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
22.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
108.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
113.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
110.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
161.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify6.3s

Counts
107 → 107
Iterations
IterNodes
done5001
32591
2981
1391
0160

prune2.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize409.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
0.4b
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
0.4b
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
516×sqrt-pow1
484×sqrt-div
387×pow1
262×pow-prod-up
258×pow1/2
176×sqrt-prod
144×frac-times
121×flip3-+ flip-+
112×pow-sqr
92×add-sqr-sqrt
81×pow-prod-down
60×*-un-lft-identity
48×associate-*r/ associate-*l/
37×swap-sqr
30×add-cube-cbrt
21×associate-*r* associate-*l*
20×add-exp-log pow-plus add-cbrt-cube
19×unswap-sqr
15×pow2
13×distribute-lft-out
10×prod-exp cbrt-unprod
7×sqrt-unprod
4×add-log-exp
3×rem-square-sqrt *-commutative
2×rem-sqrt-square
Counts
4 → 455
Calls
4 calls:
37.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
489.0ms
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
187.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
194.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
37.0ms
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))))
106.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))
115.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify10.5s

Counts
467 → 467
Iterations
IterNodes
done5000
22289
11279
0422

prune3.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s7658×body80valid
393.0ms124×body1280valid
30.0ms88×body640valid
16.0ms57×body320valid
16.0ms50×body2560valid
2.0ms23×body160valid