Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

285×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite7.0ms

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:

7.0ms

(- (* x y) x)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(- (* x y) x)

simplify1.3s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	1942
3	547
2	173
1	60
0	26

prune71.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(sqrt (- (* x y) x))
0.0b	(sqrt (- (* x y) x))
0.2b	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

11.0ms	(- (* x y) x)
13.0ms	(sqrt (- (* x y) x))
8.0ms	(sqrt (- (* x y) x))
52.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* x y) x)
60.0ms	(sqrt (- (* x y) x))
67.0ms	(sqrt (- (* x y) x))
52.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify989.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	995
1	231
0	105

prune456.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* (* y (* x y)) (* x y)) (* x x))
2.0b	(+ (* (* y x) (+ (* y x) x)) (* x x))
3.4b	(* x (- (* (* y (* x y)) (* x y)) (* x x)))
38.1b	(/ (* x (- (* (* y (* x y)) (* x y)) (* x x))) (+ (* (* y x) (+ (* y x) x)) (* x x)))

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-*r/`
3×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `flip3--` `associate-r` `associate-l*` `flip--`
2×	`cbrt-undiv` `associate-+l+` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

88.0ms	(- (* (* y (* x y)) (* x y)) (* x x))
38.0ms	(+ (* (* y x) (+ (* y x) x)) (* x x))
260.0ms	(* x (- (* (* y (* x y)) (* x y)) (* x x)))
148.0ms	(/ (* x (- (* (* y (* x y)) (* x y)) (* x x))) (+ (* (* y x) (+ (* y x) x)) (* x x)))

series669.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* (* y (* x y)) (* x y)) (* x x))
56.0ms	(+ (* (* y x) (+ (* y x) x)) (* x x))
208.0ms	(* x (- (* (* y (* x y)) (* x y)) (* x x)))
311.0ms	(/ (* x (- (* (* y (* x y)) (* x y)) (* x x))) (+ (* (* y x) (+ (* y x) x)) (* x x)))

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	2931
1	431
0	127

prune374.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
3.7b	(/ (* (sqrt (- (* x y) x)) (sqrt (- (* (* x y) (* x y)) (* x x)))) (sqrt (+ (* x y) x)))
4.1b	(- (* (* x y) (* x y)) (* x x))
19.6b	(sqrt (- (* (* x y) (* x y)) (* x x)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

34.0ms	(* (* x y) (* x y))
75.0ms	(/ (* (sqrt (- (* x y) x)) (sqrt (- (* (* x y) (* x y)) (* x x)))) (sqrt (+ (* x y) x)))
23.0ms	(- (* (* x y) (* x y)) (* x x))
38.0ms	(sqrt (- (* (* x y) (* x y)) (* x x)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x y) (* x y))
271.0ms	(/ (* (sqrt (- (* x y) x)) (sqrt (- (* (* x y) (* x y)) (* x x)))) (sqrt (+ (* x y) x)))
85.0ms	(- (* (* x y) (* x y)) (* x x))
124.0ms	(sqrt (- (* (* x y) (* x y)) (* x x)))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	2265
1	409
0	161

prune509.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes127.0ms

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	5
1	5
0	4

end0.0ms

sample565.0ms

Algorithm

intervals

Results

213.0ms

9176×

body

valid