Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
4	12
3	11
2	8
1	6
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

46.0ms

(+ (+ x y) x)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(+ (+ x y) x)

simplify3.3s

Counts

18 → 18

Iterations

Iter	Nodes
done	5027
4	4295
3	885
2	243
1	80
0	32

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (+ (+ x y) x))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`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 → 105

Calls

4 calls:

133.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
26.0ms	(cbrt (+ (+ x y) x))
26.0ms	(cbrt (+ (+ x y) x))
24.0ms	(cbrt (+ (+ x y) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
274.0ms	(cbrt (+ (+ x y) x))
263.0ms	(cbrt (+ (+ x y) x))
279.0ms	(cbrt (+ (+ x y) x))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5006
3	2312
2	780
1	307
0	130

prune484.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (+ (+ x y) x))
0.6b	(cbrt (cbrt (+ (+ x y) x)))
0.6b	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
24×	`cbrt-prod`
23×	`*-un-lft-identity`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 65

Calls

4 calls:

12.0ms	(cbrt (+ (+ x y) x))
14.0ms	(cbrt (+ (+ x y) x))
21.0ms	(cbrt (cbrt (+ (+ x y) x)))
35.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt (+ (+ x y) x))
252.0ms	(cbrt (+ (+ x y) x))
386.0ms	(cbrt (cbrt (+ (+ x y) x)))
508.0ms	(cbrt (* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x))))

simplify1.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
3	2741
2	865
1	331
0	163

prune531.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
17.3b	(/ (- (* (+ x y) (+ x y)) (* x x)) y)
18.4b	(- (* (+ x y) (+ x y)) (* x x))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`times-frac`
10×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-log-exp` `difference-of-squares`
4×	`frac-times` `associate-r` `associate-l` `associate-/l*`
3×	`associate-/r*`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-l/` `associate--l+` `associate-r/` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

27.0ms	(* (+ x y) (+ x y))
39.0ms	(/ (- (* (+ x y) (+ x y)) (* x x)) y)
23.0ms	(- (* (+ x y) (+ x y)) (* x x))

series164.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* (+ x y) (+ x y))
81.0ms	(/ (- (* (+ x y) (+ x y)) (* x x)) y)
59.0ms	(- (* (+ x y) (+ x y)) (* x x))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1411
1	426
0	139

prune412.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

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	6
1	6
0	4

end0.0ms

sample449.0ms

Algorithm

intervals

Results

234.0ms

8003×

body

valid