Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

438×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	35	11
3	41	11
done	41	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

10.0ms	(* x (+ (* 2.0 y) x))
3.0ms	(+ (* y y) (* x (+ (* 2.0 y) x)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (* 2.0 y) x))
27.0ms	(+ (* y y) (* x (+ (* 2.0 y) x)))

simplify1.5s

Counts

41 → 41

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	73	527
1	222	493
2	742	439
3	3096	439
done	5000	439

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

7.0ms	(* y (+ y (* 2.0 x)))
6.0ms	(+ (* y (+ y (* 2.0 x))) (* x x))

series60.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (+ y (* 2.0 x)))
23.0ms	(+ (* y (+ y (* 2.0 x))) (* x x))

simplify1.5s

Counts

41 → 41

Iterations

Useful iterations: 3 (378.0ms)

Iter	Nodes	Cost
0	72	527
1	218	491
2	747	447
3	3135	439
done	5000	439

prune74.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
12.7b	(cbrt (* x (+ (* 2.0 y) x)))
12.7b	(cbrt (* x (+ (* 2.0 y) x)))
12.7b	(cbrt (* x (+ (* 2.0 y) x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
4.0ms	(cbrt (* x (+ (* 2.0 y) x)))
4.0ms	(cbrt (* x (+ (* 2.0 y) x)))
4.0ms	(cbrt (* x (+ (* 2.0 y) x)))

series958.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
242.0ms	(cbrt (* x (+ (* 2.0 y) x)))
236.0ms	(cbrt (* x (+ (* 2.0 y) x)))
241.0ms	(cbrt (* x (+ (* 2.0 y) x)))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	97	1396
1	214	1291
2	560	1177
3	1411	1063
4	3341	1039
done	5001	1039

prune205.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (+ (* y y) (- (* (* 2.0 x) (* 2.0 x)) (* y (* 2.0 x))))) (* x x))
0.6b	(+ (pow y 3) (pow (* 2.0 x) 3))
3.4b	(* y (+ (pow y 3) (pow (* 2.0 x) 3)))
25.8b	(/ (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (+ (* y y) (- (* (* 2.0 x) (* 2.0 x)) (* y (* 2.0 x)))))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

184.0ms	(+ (/ (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (+ (* y y) (- (* (* 2.0 x) (* 2.0 x)) (* y (* 2.0 x))))) (* x x))
11.0ms	(+ (pow y 3) (pow (* 2.0 x) 3))
40.0ms	(* y (+ (pow y 3) (pow (* 2.0 x) 3)))
66.0ms	(/ (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (+ (* y y) (- (* (* 2.0 x) (* 2.0 x)) (* y (* 2.0 x)))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (/ (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (+ (* y y) (- (* (* 2.0 x) (* 2.0 x)) (* y (* 2.0 x))))) (* x x))
56.0ms	(+ (pow y 3) (pow (* 2.0 x) 3))
76.0ms	(* y (+ (pow y 3) (pow (* 2.0 x) 3)))
119.0ms	(/ (* y (+ (pow y 3) (pow (* 2.0 x) 3))) (+ (* y y) (- (* (* 2.0 x) (* 2.0 x)) (* y (* 2.0 x)))))

simplify584.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	146	2342
1	431	1994
2	1732	1766
done	5000	1766

prune248.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample591.0ms

Algorithm

intervals

Results

376.0ms

14101×

body

valid