Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

433×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

10.0ms	(+ (* x 2.0) (* x x))
32.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series166.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(+ (* x 2.0) (* x x))
61.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify635.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	1527
1	208
0	59

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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-+l+` `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:

25.0ms	(* x (+ x 2.0))
16.0ms	(+ (* x (+ x 2.0)) (* y y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (+ x 2.0))
44.0ms	(+ (* x (+ x 2.0)) (* y y))

simplify538.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1235
1	234
0	72

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ 2.0 x)) (* y y))) (cbrt (+ (* x (+ 2.0 x)) (* y y))))
0.6b	(cbrt (+ (* x (+ 2.0 x)) (* y y)))
0.6b	(cbrt (+ (* x (+ 2.0 x)) (* y y)))
0.6b	(cbrt (+ (* x (+ 2.0 x)) (* y y)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

102.0ms	(* (cbrt (+ (* x (+ 2.0 x)) (* y y))) (cbrt (+ (* x (+ 2.0 x)) (* y y))))
20.0ms	(cbrt (+ (* x (+ 2.0 x)) (* y y)))
13.0ms	(cbrt (+ (* x (+ 2.0 x)) (* y y)))
13.0ms	(cbrt (+ (* x (+ 2.0 x)) (* y y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

409.0ms	(* (cbrt (+ (* x (+ 2.0 x)) (* y y))) (cbrt (+ (* x (+ 2.0 x)) (* y y))))
329.0ms	(cbrt (+ (* x (+ 2.0 x)) (* y y)))
351.0ms	(cbrt (+ (* x (+ 2.0 x)) (* y y)))
417.0ms	(cbrt (+ (* x (+ 2.0 x)) (* y y)))

simplify534.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1361
1	319
0	126

prune531.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (- (* 2.0 2.0) (* x 2.0)))
0.0b	(+ (/ (* (+ (pow 2.0 3) (pow x 3)) x) (+ (* x x) (- (* 2.0 2.0) (* x 2.0)))) (* y y))
0.0b	(* (+ (pow 2.0 3) (pow x 3)) x)
9.4b	(/ (* (+ (pow 2.0 3) (pow x 3)) x) (+ (* x x) (- (* 2.0 2.0) (* x 2.0))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

14.0ms	(+ (* x x) (- (* 2.0 2.0) (* x 2.0)))
109.0ms	(+ (/ (* (+ (pow 2.0 3) (pow x 3)) x) (+ (* x x) (- (* 2.0 2.0) (* x 2.0)))) (* y y))
70.0ms	(* (+ (pow 2.0 3) (pow x 3)) x)
62.0ms	(/ (* (+ (pow 2.0 3) (pow x 3)) x) (+ (* x x) (- (* 2.0 2.0) (* x 2.0))))

series487.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x x) (- (* 2.0 2.0) (* x 2.0)))
120.0ms	(+ (/ (* (+ (pow 2.0 3) (pow x 3)) x) (+ (* x x) (- (* 2.0 2.0) (* x 2.0)))) (* y y))
99.0ms	(* (+ (pow 2.0 3) (pow x 3)) x)
233.0ms	(/ (* (+ (pow 2.0 3) (pow x 3)) x) (+ (* x x) (- (* 2.0 2.0) (* x 2.0))))

simplify1.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2718
1	445
0	148

prune495.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes201.0ms

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

sample1.2s

Algorithm

intervals

Results

951.0ms

14298×

body

valid