Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

289×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	8	5
done	8	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

16.0ms

(- (* x y) x)

series66.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(- (* x y) x)

simplify3.3s

Counts

15 → 15

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	26	128
1	61	125
2	168	111
3	480	109
4	1131	109
5	3592	109
done	5001	109

prune27.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* x (+ (* y y) (+ y 1))) x)
3.4b	(* x (+ (* y y) (+ y 1)))
3.7b	(- (pow (* x y) 3) (pow x 3))
40.8b	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
24×	`difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqr-pow`
15×	`*-un-lft-identity`
13×	`times-frac` `associate-/l*`
11×	`pow1`
9×	`add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `cube-prod` `associate-r/` `associate-r*` `add-log-exp`
4×	`associate-l` `pow-prod-down` `associate-*l/`
3×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `distribute-lft-out--`
2×	`flip3--` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

135.0ms	(* (* x (+ (* y y) (+ y 1))) x)
73.0ms	(* x (+ (* y y) (+ y 1)))
32.0ms	(- (pow (* x y) 3) (pow x 3))
170.0ms	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

series515.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* x (+ (* y y) (+ y 1))) x)
55.0ms	(* x (+ (* y y) (+ y 1)))
169.0ms	(- (pow (* x y) 3) (pow x 3))
230.0ms	(/ (- (pow (* x y) 3) (pow x 3)) (* (* x (+ (* y y) (+ y 1))) x))

simplify1.5s

Counts

124 → 124

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	182	2576
1	518	2424
2	2402	2116
done	5000	2112

prune438.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 1 (/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))) (+ (/ y 1) -1))
0.0b	(+ (* y y) (+ y 1))
3.4b	(* x (+ (* y y) (+ y 1)))
13.4b	(/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))

rewrite595.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
25×	`add-cbrt-cube`
17×	`prod-exp`
16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`pow1`
10×	`associate-r` `cbrt-unprod`
9×	`add-cube-cbrt` `associate-*r/` `add-log-exp`
6×	`flip3-+` `times-frac` `div-exp` `flip-+`
4×	`cbrt-undiv` `associate-l` `pow-prod-down` `associate-/r*`
3×	`difference-of-sqr--1` `1-exp` `sum-log` `distribute-lft-out`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-/r/` `*-commutative` `associate-/l/`
1×	`+-commutative` `associate-+r+` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

417.0ms	(* (* 1 (/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))) (+ (/ y 1) -1))
18.0ms	(+ (* y y) (+ y 1))
69.0ms	(* x (+ (* y y) (+ y 1)))
88.0ms	(/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))

series101.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* 1 (/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))) (+ (/ y 1) -1))
15.0ms	(+ (* y y) (+ y 1))
42.0ms	(* x (+ (* y y) (+ y 1)))
8.0ms	(/ (* x (+ (* y y) (+ y 1))) (+ (+ (* y y) y) 1))

simplify3.3s

Counts

110 → 110

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	191	2420
1	559	2150
2	2446	1516
done	5002	944

prune419.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ -1 y) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

21.0ms

(* (+ -1 y) x)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (+ -1 y) x)

simplify4.9s

Counts

24 → 24

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	43	178
1	107	171
2	362	151
3	1109	151
4	4196	151
done	5001	151

prune91.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	5	5
done	5	5

end0.0ms

sample677.0ms

Algorithm

intervals

Results

314.0ms

9163×

body

valid