Details

sample46.0ms

Algorithm

intervals

Results

22.0ms

315×

body

valid

simplify442.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	49	9
5	56	9
6	62	9
7	79	9
8	106	9
9	130	9
10	164	9
11	192	9
12	205	9
13	214	9
done	214	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

20.0ms	(+ (* x y) (* (- x 1.0) z))
24.0ms	(* (- x 1.0) z)

series96.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x y) (* (- x 1.0) z))
40.0ms	(* (- x 1.0) z)

simplify2.4s

Counts

39 → 39

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	71	405
1	187	373
2	675	345
3	2963	345
done	5000	345

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.6b	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
2.4b	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
40.1b	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
97.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
15.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
237.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series872.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* x y) (* x y))
159.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
217.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
452.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify1.8s

Counts

113 → 113

Iterations

Useful iterations: 2 (428.0ms)

Iter	Nodes	Cost
0	175	3572
1	467	3301
2	2185	3055
done	5002	3055

prune460.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

16.0ms	(- (* x (+ z y)) (* 1.0 z))
28.0ms	(* x (+ z y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (* x (+ z y)) (* 1.0 z))
29.0ms	(* x (+ z y))

simplify2.3s

Counts

43 → 43

Iterations

Useful iterations: 3 (847.0ms)

Iter	Nodes	Cost
0	71	430
1	196	398
2	633	370
3	2766	368
done	5001	368

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--`

Counts

4 → 83

Calls

4 calls:

11.0ms	(sqrt (+ z y))
69.0ms	(- (* (* x (sqrt (+ z y))) (sqrt (+ z y))) (* 1.0 z))
35.0ms	(* x (sqrt (+ z y)))
81.0ms	(* (* x (sqrt (+ z y))) (sqrt (+ z y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (+ z y))
84.0ms	(- (* (* x (sqrt (+ z y))) (sqrt (+ z y))) (* 1.0 z))
77.0ms	(* x (sqrt (+ z y)))
71.0ms	(* (* x (sqrt (+ z y))) (sqrt (+ z y)))

simplify1.5s

Counts

95 → 95

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	166	1372
1	438	1026
2	1287	924
done	5000	904

prune232.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

484.0ms

10119×

body

valid