Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
3	18
2	16
1	12
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 52

Calls

1 calls:

18.0ms

(/ (- x y) (- 1.0 y))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ (- x y) (- 1.0 y))

simplify1.7s

Counts

55 → 55

Iterations

Iter	Nodes
done	5006
3	2445
2	678
1	258
0	103

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- 1.0 y))
0.0b	(/ x (- 1.0 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
22×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r/`
2×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--` `add-log-exp`

Counts

2 → 74

Calls

2 calls:

9.0ms	(/ y (- 1.0 y))
9.0ms	(/ x (- 1.0 y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- 1.0 y))
52.0ms	(/ x (- 1.0 y))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5004
3	2976
2	940
1	308
0	141

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(sqrt (- 1.0 y))
0.0b	(/ x (- 1.0 y))
0.2b	(/ y (sqrt (- 1.0 y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
39×	`times-frac`
33×	`add-cube-cbrt`
30×	`sqrt-prod`
13×	`associate-/r*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `sqrt-div` `associate-/l*`
4×	`flip3--` `associate-/r/` `flip--` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

4 → 120

Calls

4 calls:

7.0ms	(sqrt (- 1.0 y))
6.0ms	(sqrt (- 1.0 y))
12.0ms	(/ x (- 1.0 y))
18.0ms	(/ y (sqrt (- 1.0 y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (- 1.0 y))
44.0ms	(sqrt (- 1.0 y))
54.0ms	(/ x (- 1.0 y))
150.0ms	(/ y (sqrt (- 1.0 y)))

simplify2.2s

Counts

132 → 132

Iterations

Iter	Nodes
done	5015
3	4112
2	1277
1	406
0	196

prune611.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
0.1b	(* y (* y y))
4.1b	(/ (- x y) (- (* (* 1.0 1.0) 1.0) (* y (* y y))))
15.2b	(* (/ (- x y) (- (* (* 1.0 1.0) 1.0) (* y (* y y)))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`times-frac`
29×	`associate-l`
27×	`add-cube-cbrt`
20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`cube-unmult`
11×	`difference-cubes` `pow3`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod` `associate-/l*`
4×	`associate-/r` `associate-r*` `pow-prod-down` `associate-/r/`
3×	`flip3-+` `flip3--` `flip-+` `flip--` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-r/` `-commutative` `div-inv` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-plus` `distribute-rgt-out` `div-sub` `associate-*l/` `pow-sqr`

Counts

4 → 133

Calls

4 calls:

11.0ms	(+ (* y y) (* 1.0 y))
22.0ms	(* y (* y y))
67.0ms	(/ (- x y) (- (* (* 1.0 1.0) 1.0) (* y (* y y))))
229.0ms	(* (/ (- x y) (- (* (* 1.0 1.0) 1.0) (* y (* y y)))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* y y) (* 1.0 y))
47.0ms	(* y (* y y))
91.0ms	(/ (- x y) (- (* (* 1.0 1.0) 1.0) (* y (* y y))))
143.0ms	(* (/ (- x y) (- (* (* 1.0 1.0) 1.0) (* y (* y y)))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify2.8s

Counts

145 → 145

Iterations

Iter	Nodes
done	5004
2	3504
1	825
0	228

prune752.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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	7
0	7

end0.0ms

sample531.0ms

Algorithm

intervals

Results

308.0ms

8000×

body

valid