Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4327
8	1259
7	477
6	204
5	93
4	40
3	29
2	19
1	12
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

27.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify1.7s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3912
3	803
2	250
1	92
0	34

prune77.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite309.0ms

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:

209.0ms	(* (cbrt (+ (/ (- x y) 2.0) x)) (cbrt (+ (/ (- x y) 2.0) x)))
37.0ms	(cbrt (+ (/ (- x y) 2.0) x))
27.0ms	(cbrt (+ (/ (- x y) 2.0) x))
31.0ms	(cbrt (+ (/ (- x y) 2.0) x))

series2.1s

Counts

4 → 12

Calls

4 calls:

551.0ms	(* (cbrt (+ (/ (- x y) 2.0) x)) (cbrt (+ (/ (- x y) 2.0) x)))
469.0ms	(cbrt (+ (/ (- x y) 2.0) x))
528.0ms	(cbrt (+ (/ (- x y) 2.0) x))
541.0ms	(cbrt (+ (/ (- x y) 2.0) x))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	877
1	285
0	129

prune503.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(+ (/ (- y x) 2.0) x)
12.2b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
27.6b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (+ (/ (- y x) 2.0) x))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
92×	`times-frac`
90×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
18×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`pow1`
8×	`add-log-exp`
6×	`distribute-lft-out`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`associate-/r` `prod-exp` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`flip3-+` `flip3--` `div-sub` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `frac-times` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-+l-`

Counts

4 → 158

Calls

4 calls:

42.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
31.0ms	(+ (/ (- y x) 2.0) x)
7.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
69.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (+ (/ (- y x) 2.0) x))

series305.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
66.0ms	(+ (/ (- y x) 2.0) x)
39.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
158.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (+ (/ (- y x) 2.0) x))

simplify442.0ms

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
1	819
0	244

prune728.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite290.0ms

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:

182.0ms	(* (cbrt (+ (/ (- y x) 2.0) x)) (cbrt (+ (/ (- y x) 2.0) x)))
25.0ms	(cbrt (+ (/ (- y x) 2.0) x))
37.0ms	(cbrt (+ (/ (- y x) 2.0) x))
43.0ms	(cbrt (+ (/ (- y x) 2.0) x))

series1.6s

Counts

4 → 12

Calls

4 calls:

706.0ms	(* (cbrt (+ (/ (- y x) 2.0) x)) (cbrt (+ (/ (- y x) 2.0) x)))
281.0ms	(cbrt (+ (/ (- y x) 2.0) x))
289.0ms	(cbrt (+ (/ (- y x) 2.0) x))
315.0ms	(cbrt (+ (/ (- y x) 2.0) x))

simplify948.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	999
1	315
0	135

prune634.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes250.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample547.0ms

Algorithm

intervals

Results

294.0ms	7373×	body	80	valid
32.0ms	230×	body	1280	valid
16.0ms	162×	body	640	valid
14.0ms	94×	body	2560	valid
6.0ms	88×	body	320	valid
3.0ms	54×	body	160	valid