Details

sample36.0ms

Algorithm

intervals

Results

13.0ms

323×

body

valid

simplify939.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	1750
9	381
8	140
7	100
6	79
5	68
4	53
3	34
2	20
1	13
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

15.0ms	(+ (* (- 1.0 x) y) (* x z))
17.0ms	(* (- 1.0 x) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* (- 1.0 x) y) (* x z))
38.0ms	(* (- 1.0 x) y)

simplify989.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	767
1	190
0	71

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(sqrt (- 1.0 x))
0.1b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

9.0ms	(sqrt (- 1.0 x))
9.0ms	(sqrt (- 1.0 x))
32.0ms	(* (sqrt (- 1.0 x)) y)
62.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series206.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (- 1.0 x))
36.0ms	(sqrt (- 1.0 x))
90.0ms	(* (sqrt (- 1.0 x)) y)
34.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1316
1	336
0	136

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
2.9b	(sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) x)))
2.9b	(/ (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) x))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
7.7b	(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

59×	`sqrt-prod`
42×	`times-frac`
40×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `add-cube-cbrt`
25×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow3`
8×	`difference-cubes` `sqrt-div` `cube-unmult`
7×	`associate-/l*`
6×	`associate-/r*` `pow-plus` `pow-prod-up`
4×	`add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `associate-/r/` `pow-sqr` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sqrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-l` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

15.0ms	(* (* x x) x)
39.0ms	(sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) x)))
103.0ms	(/ (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) x))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
21.0ms	(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series211.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x x) x)
46.0ms	(sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) x)))
78.0ms	(/ (sqrt (- (* 1.0 (* 1.0 1.0)) (* (* x x) x))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
51.0ms	(sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.8s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
2	3012
1	491
0	215

prune831.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b	(* (* x z) (* x z))
2.7b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
27.0b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

69.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
34.0ms	(* (* x z) (* x z))
102.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
189.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
34.0ms	(* (* x z) (* x z))
136.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
213.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify1.7s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	3371
1	568
0	187

prune467.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

461.0ms

10030×

body

valid