Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

308×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	4

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)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

6.0ms

(- (* x y) x)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- (* x y) x)

simplify2.9s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
5	4361
4	1122
3	439
2	162
1	60
0	26

prune61.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* x y) (* x y))
4.3b	(- (* (* x y) (* x y)) (* x x))
30.8b	(/ (- (* (* x y) (* x y)) (* x x)) (+ (* x y) x))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1`
17×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
5×	`add-log-exp` `difference-of-squares`
4×	`pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`pow-plus` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

3 → 83

Calls

3 calls:

20.0ms	(* (* x y) (* x y))
26.0ms	(- (* (* x y) (* x y)) (* x x))
77.0ms	(/ (- (* (* x y) (* x y)) (* x x)) (+ (* x y) x))

series233.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* x y) (* x y))
80.0ms	(- (* (* x y) (* x y)) (* x x))
113.0ms	(/ (- (* (* x y) (* x y)) (* x x)) (+ (* x y) x))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1200
1	333
0	118

prune260.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 82

Calls

3 calls:

7.0ms	(- (* x y) x)
59.0ms	(* (+ (* x y) x) (/ (- (* x y) x) (+ (* x y) x)))
28.0ms	(/ (- (* x y) x) (+ (* x y) x))

series138.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* x y) x)
36.0ms	(* (+ (* x y) x) (/ (- (* x y) x) (+ (* x y) x)))
62.0ms	(/ (- (* x y) x) (+ (* x y) x))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1529
1	363
0	124

prune375.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (+ (* x y) x)) (/ x (+ (* x y) x)))
0.0b	(* (+ (* x y) x) (- (/ (* x y) (+ (* x y) x)) (/ x (+ (* x y) x))))
0.1b	(/ x (+ (* x y) x))
9.5b	(/ (* x y) (+ (* x y) x))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

107.0ms	(- (/ (* x y) (+ (* x y) x)) (/ x (+ (* x y) x)))
233.0ms	(* (+ (* x y) x) (- (/ (* x y) (+ (* x y) x)) (/ x (+ (* x y) x))))
10.0ms	(/ x (+ (* x y) x))
14.0ms	(/ (* x y) (+ (* x y) x))

series438.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ (* x y) (+ (* x y) x)) (/ x (+ (* x y) x)))
229.0ms	(* (+ (* x y) x) (- (/ (* x y) (+ (* x y) x)) (/ x (+ (* x y) x))))
42.0ms	(/ x (+ (* x y) x))
45.0ms	(/ (* x y) (+ (* x y) x))

simplify1.6s

Counts

126 → 126

Iterations

Iter	Nodes
done	5008
2	2510
1	560
0	188

prune610.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

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	10
1	10
0	7

end0.0ms

sample511.0ms

Algorithm

intervals

Results

274.0ms

9153×

body

valid