Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

285×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(- (* x y) x)

simplify996.0ms

Counts

15 → 15

Iterations

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

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite127.0ms

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:

12.0ms	(- (* x y) x)
15.0ms	(sqrt (- (* x y) x))
16.0ms	(sqrt (- (* x y) x))
78.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* x y) x)
71.0ms	(sqrt (- (* x y) x))
60.0ms	(sqrt (- (* x y) x))
62.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify701.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	995
1	231
0	105

prune551.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
3.4b	(* (- (* x (* y y)) x) x)
7.6b	(* x (* y y))
27.2b	(/ (* (- (* x (* y y)) x) x) (+ (* x y) x))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
11×	`pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down` `associate-*l/`
3×	`associate-/r*` `times-frac`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `associate-/r/` `*-commutative` `flip-+` `flip--` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 75

Calls

4 calls:

6.0ms	(+ (* x y) x)
82.0ms	(* (- (* x (* y y)) x) x)
26.0ms	(* x (* y y))
43.0ms	(/ (* (- (* x (* y y)) x) x) (+ (* x y) x))

series338.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) x)
105.0ms	(* (- (* x (* y y)) x) x)
36.0ms	(* x (* y y))
161.0ms	(/ (* (- (* x (* y y)) x) x) (+ (* x y) x))

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	2787
1	368
0	124

prune354.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y x))
0.1b	(/ x (+ x (* y x)))
7.6b	(* x (* y y))
10.5b	(* (- (* x (* y y)) x) (/ x (+ x (* y x))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
8×	`distribute-rgt-out` `distribute-rgt1-in`
6×	`associate-l` `add-log-exp`
5×	`associate-/r*` `prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `associate-/r/`
3×	`flip3-+` `flip-+` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-l/` `-commutative` `div-inv` `flip--`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-*r/`

Counts

4 → 113

Calls

4 calls:

9.0ms	(+ x (* y x))
15.0ms	(/ x (+ x (* y x)))
17.0ms	(* x (* y y))
119.0ms	(* (- (* x (* y y)) x) (/ x (+ x (* y x))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ x (* y x))
64.0ms	(/ x (+ x (* y x)))
52.0ms	(* x (* y y))
180.0ms	(* (- (* x (* y y)) x) (/ x (+ x (* y x))))

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	3209
1	499
0	174

prune671.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes136.0ms

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

sample867.0ms

Algorithm

intervals

Results

634.0ms

9176×

body

valid