Details

sample85.0ms

Algorithm

intervals

Results

25.0ms

482×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	27
3	27
2	24
1	15
0	8

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

16.0ms	(* x (+ 2.0 x))
7.0ms	(+ (* y y) (* x (+ 2.0 x)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* x (+ 2.0 x))
58.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify1.0s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	1272
1	234
0	72

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (exp (log (* x (+ 2.0 x)))))
3.9b	(exp (log (* x (+ 2.0 x))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

17.0ms	(* x (+ 2.0 x))
34.0ms	(+ (* y y) (exp (log (* x (+ 2.0 x)))))
25.0ms	(exp (log (* x (+ 2.0 x))))

series189.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* x (+ 2.0 x))
52.0ms	(+ (* y y) (exp (log (* x (+ 2.0 x)))))
61.0ms	(exp (log (* x (+ 2.0 x))))

simplify1.3s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	1408
1	280
0	97

prune308.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
0.2b	(* (* y y) (* y y))
2.0b	(- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
24.2b	(/ (- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

84.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
34.0ms	(* (* y y) (* y y))
35.0ms	(- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
118.0ms	(/ (- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
37.0ms	(* (* y y) (* y y))
105.0ms	(- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
124.0ms	(/ (- (* (* y y) (* y y)) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

simplify2.7s

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
2	4291
1	667
0	204

prune612.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* x (+ 2.0 x)))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
2.0b	(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
24.2b	(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
25×	`add-sqr-sqrt`
18×	`times-frac` `add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
15×	`*-un-lft-identity` `add-cube-cbrt` `difference-of-squares`
14×	`associate-*r/`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`flip3-+` `flip-+` `associate-/l*` `associate--r+`
5×	`unpow-prod-down` `sqr-pow`
4×	`frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 123

Calls

4 calls:

12.0ms	(- (* y y) (* x (+ 2.0 x)))
88.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
24.0ms	(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
51.0ms	(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* y y) (* x (+ 2.0 x)))
49.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
83.0ms	(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
125.0ms	(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

simplify2.2s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	4121
1	634
0	213

prune576.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes148.0ms

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	10
1	10
0	7

end0.0ms

sample979.0ms

Algorithm

intervals

Results

675.0ms

14233×

body

valid