Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify218.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	15	9
2	36	9
3	74	9
4	123	9
5	155	9
6	167	9
7	170	9
done	170	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize9.0ms

Local error

Found 1 expressions with local error:

13.2b

(/ (* (* x 2.0) y) (- x y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/r*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

60.0ms

(/ (* (* x 2.0) y) (- x y))

series117.0ms

Counts

1 → 3

Calls

1 calls:

116.0ms

(/ (* (* x 2.0) y) (- x y))

simplify1.5s

Counts

32 → 32

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	77	400
1	208	380
2	987	314
done	5000	314

prune90.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x y) 1)
7.1b	(/ (* x 2.0) (- (/ x y) 1))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
19×	`times-frac`
16×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-sqr-1`
4×	`add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 56

Calls

2 calls:

34.0ms	(- (/ x y) 1)
38.0ms	(/ (* x 2.0) (- (/ x y) 1))

series110.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(- (/ x y) 1)
94.0ms	(/ (* x 2.0) (- (/ x y) 1))

simplify2.9s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	94	727
1	212	691
2	643	627
3	2460	625
done	5000	625

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ -1 (/ x y))
6.9b	(/ x (/ (+ -1 (/ x y)) 2.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
77×	`*-un-lft-identity`
51×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
13×	`distribute-lft-out`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip-+`

Counts

2 → 94

Calls

2 calls:

11.0ms	(+ -1 (/ x y))
45.0ms	(/ x (/ (+ -1 (/ x y)) 2.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ -1 (/ x y))
77.0ms	(/ x (/ (+ -1 (/ x y)) 2.0))

simplify2.7s

Counts

100 → 100

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	168	1637
1	379	1523
2	1151	1449
3	3595	1446
done	5001	1446

prune340.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
6.6b	(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
32×	`add-cbrt-cube`
31×	`cbrt-prod`
30×	`associate-r`
27×	`times-frac`
23×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp` `associate-l`
10×	`flip3--` `associate-/r/` `flip--`
6×	`pow1` `distribute-lft-out--` `difference-of-squares`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/` `unswap-sqr`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 123

Calls

4 calls:

4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
169.0ms	(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series672.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt (- x y))
183.0ms	(cbrt (- x y))
217.0ms	(cbrt (- x y))
73.0ms	(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify1.6s

Counts

135 → 135

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	213	2616
1	604	2490
2	2863	2005
done	5000	1834

prune444.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

92.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.4b

bsearch2.0ms

simplify29.0ms

Iterations

Useful iterations: 4 (13.0ms)

Iter	Nodes	Cost
0	24	93
1	30	85
2	33	77
3	39	69
4	42	68
5	45	68
6	46	68
7	47	68
done	47	68

end0.0ms

sample1.0s

Algorithm

intervals

Results

766.0ms

8000×

body

valid