Details

sample48.0ms

Algorithm

intervals

Results

25.0ms

467×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
3	47
2	37
1	17
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `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` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

26.0ms	(* x (+ x (* y 2.0)))
10.0ms	(+ (* y y) (* x (+ x (* y 2.0))))

series86.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* x (+ x (* y 2.0)))
33.0ms	(+ (* y y) (* x (+ x (* y 2.0))))

simplify624.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1424
1	247
0	71

prune176.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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-+r+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

11.0ms	(+ (* x x) (* x (* 2.0 y)))
19.0ms	(+ (* y y) (+ (* x x) (* x (* 2.0 y))))

series96.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x x) (* x (* 2.0 y)))
40.0ms	(+ (* y y) (+ (* x x) (* x (* 2.0 y))))

simplify635.0ms

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
2	1345
1	218
0	58

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (+ (* 2.0 y) x) x) (* y y))) (cbrt (+ (* (+ (* 2.0 y) x) x) (* y y))))
6.0b	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
6.0b	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
6.0b	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))

rewrite155.0ms

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:

112.0ms	(* (cbrt (+ (* (+ (* 2.0 y) x) x) (* y y))) (cbrt (+ (* (+ (* 2.0 y) x) x) (* y y))))
12.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
14.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
15.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (+ (* (+ (* 2.0 y) x) x) (* y y))) (cbrt (+ (* (+ (* 2.0 y) x) x) (* y y))))
156.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
176.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
159.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))

simplify602.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1279
1	293
0	118

prune594.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
6.0b	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
6.0b	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
6.0b	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

10.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
4.0ms	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
4.0ms	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
4.0ms	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

series613.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (+ (* (+ (* 2.0 y) x) x) (* y y)))
148.0ms	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
159.0ms	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
145.0ms	(cbrt (+ (* y y) (* x (+ x (* y 2.0)))))

simplify482.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	930
1	220
0	88

prune699.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes110.0ms

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	13
1	13
0	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

14088×

body

valid