Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	247×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	1×	body	2560	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

26.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify948.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	1545
3	547
2	208
1	83
0	31

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite137.0ms

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))))
8.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
13.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
81.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
74.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
77.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify860.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1475
1	394
0	160

prune670.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
0.6b	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
0.7b	(pow (sqrt (cbrt (+ (/ (fabs (- y x)) 2.0) x))) (+ 3 1))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`unpow-prod-down`
7×	`sqrt-prod`
6×	`pow1` `cbrt-div`
5×	`add-exp-log` `distribute-lft-out`
4×	`pow-unpow` `pow-pow` `add-cbrt-cube` `pow1/3` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`sqrt-pow1`
1×	`pow-to-exp` `unpow-prod-up` `pow1/2` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

10.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
17.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
52.0ms	(pow (sqrt (cbrt (+ (/ (fabs (- y x)) 2.0) x))) (+ 3 1))

series413.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt (+ x (/ (fabs (- y x)) 2.0)))
121.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
81.0ms	(cbrt (+ (/ (fabs (- y x)) 2.0) x))
128.0ms	(pow (sqrt (cbrt (+ (/ (fabs (- y x)) 2.0) x))) (+ 3 1))

simplify971.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1887
1	558
0	207

prune725.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))
0.0b	(- (/ (fabs (- y x)) 2.0) x)
16.2b	(- (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))) (* x x))
27.1b	(/ (- (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))) (* x x)) (- (/ (fabs (- y x)) 2.0) x))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
18×	`add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
10×	`difference-of-squares`
8×	`add-log-exp`
7×	`associate-r`
6×	`pow1` `associate-/r*`
5×	`distribute-lft-out--`
4×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`
3×	`cbrt-undiv` `div-exp` `associate-l` `associate-/l*`
2×	`sub-neg` `diff-log` `associate-/r/` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 99

Calls

4 calls:

23.0ms	(* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))
28.0ms	(- (/ (fabs (- y x)) 2.0) x)
31.0ms	(- (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))) (* x x))
72.0ms	(/ (- (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))) (* x x)) (- (/ (fabs (- y x)) 2.0) x))

series397.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0)))
39.0ms	(- (/ (fabs (- y x)) 2.0) x)
145.0ms	(- (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))) (* x x))
177.0ms	(/ (- (* (fabs (- y x)) (/ (fabs (- y x)) (* 2.0 2.0))) (* x x)) (- (/ (fabs (- y x)) 2.0) x))

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	2441
1	474
0	177

prune572.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample759.0ms

Algorithm

intervals

Results

378.0ms	7715×	body	80	valid
43.0ms	31×	body	320	valid
22.0ms	105×	body	1280	valid
14.0ms	55×	body	2560	valid
13.0ms	81×	body	640	valid
1.0ms	16×	body	160	valid