Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

353×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	46
4	46
3	39
2	23
1	10
0	6

prune7.0ms

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 (- 1.0 (* x y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

14.0ms

(* x (- 1.0 (* x y)))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* x (- 1.0 (* x y)))

simplify2.2s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	4580
2	569
1	133
0	51

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x x) (- y)))
9.9b	(* (* x x) (- y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `associate-l` `unsub-neg` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

13.0ms	(+ (* x 1.0) (* (* x x) (- y)))
21.0ms	(* (* x x) (- y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x 1.0) (* (* x x) (- y)))
32.0ms	(* (* x x) (- y))

simplify1.3s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
2	1634
1	249
0	77

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
0.3b	(pow (* x y) 3)
1.4b	(* x (- (pow 1.0 3) (pow (* x y) 3)))
8.3b	(/ (* x (- (pow 1.0 3) (pow (* x y) 3))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
21×	`add-sqr-sqrt`
19×	`pow-prod-down`
14×	`associate-r`
11×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`difference-of-squares`
7×	`sqr-pow`
4×	`associate-l` `associate-*r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `associate-/r*` `unpow-prod-down` `times-frac` `cube-prod`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `pow-pow` `distribute-lft-in` `pow-plus` `flip3--` `div-exp` `pow-exp` `associate-/r/` `*-commutative` `flip--` `rem-cube-cbrt` `associate-/l/`
1×	`pow2` `cube-mult` `pow-to-exp` `difference-cubes` `clear-num` `frac-2neg` `flip3-+` `unpow3` `swap-sqr` `flip-+` `div-inv` `associate-/l*` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

22.0ms	(* (* x y) (* x y))
5.0ms	(pow (* x y) 3)
65.0ms	(* x (- (pow 1.0 3) (pow (* x y) 3)))
122.0ms	(/ (* x (- (pow 1.0 3) (pow (* x y) 3))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

series538.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* x y) (* x y))
89.0ms	(pow (* x y) 3)
149.0ms	(* x (- (pow 1.0 3) (pow (* x y) 3)))
239.0ms	(/ (* x (- (pow 1.0 3) (pow (* x y) 3))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

simplify2.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	3994
1	601
0	177

prune697.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y x) (+ 1.0 (* y x)))
0.3b	(* (* x y) (* x y))
0.8b	(* x (+ (* 1.0 1.0) (* (* y x) (+ 1.0 (* y x)))))
8.3b	(/ (* (* x (+ (* 1.0 1.0) (* (* y x) (+ 1.0 (* y x))))) (- 1.0 (* x y))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down`
15×	`prod-exp` `cbrt-unprod`
12×	`associate-*r/`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-/l/`
7×	`associate-r`
6×	`flip3-+` `flip-+`
5×	`associate-l`
4×	`frac-times` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `flip3--` `div-exp` `-commutative` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-plus` `associate-*l/` `associate-/r/`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

38.0ms	(* (* y x) (+ 1.0 (* y x)))
42.0ms	(* (* x y) (* x y))
23.0ms	(* x (+ (* 1.0 1.0) (* (* y x) (+ 1.0 (* y x)))))
198.0ms	(/ (* (* x (+ (* 1.0 1.0) (* (* y x) (+ 1.0 (* y x))))) (- 1.0 (* x y))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* y x) (+ 1.0 (* y x)))
58.0ms	(* (* x y) (* x y))
130.0ms	(* x (+ (* 1.0 1.0) (* (* y x) (+ 1.0 (* y x)))))
47.0ms	(/ (* (* x (+ (* 1.0 1.0) (* (* y x) (+ 1.0 (* y x))))) (- 1.0 (* x y))) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))))

simplify408.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
1	707
0	195

prune545.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes174.0ms

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	8
1	8
0	6

end0.0ms

sample812.0ms

Algorithm

intervals

Results

426.0ms

10662×

body

valid