Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	250×	body	80	valid
1.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

9.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify3.1s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
5	3001
4	1244
3	513
2	215
1	84
0	31

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

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×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

95.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
13.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
95.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
79.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
83.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify2.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
3	2587
2	986
1	391
0	160

prune698.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
19×	`*-un-lft-identity`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
15.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
16.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
15.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
85.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
83.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
90.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify2.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2969
2	965
1	342
0	146

prune716.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
20×	`*-un-lft-identity`
16×	`cbrt-div`
12×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

8.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
9.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
10.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
8.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
71.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
71.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))
59.0ms	(cbrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5003
3	1790
2	612
1	226
0	102

prune679.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample659.0ms

Algorithm

intervals

Results

327.0ms	7697×	body	80	valid
45.0ms	76×	body	640	valid
24.0ms	127×	body	1280	valid
9.0ms	41×	body	2560	valid
5.0ms	39×	body	320	valid
1.0ms	21×	body	160	valid