Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify351.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	30	9
4	39	9
5	46	9
6	57	9
7	78	9
8	115	9
9	172	9
10	256	9
11	298	9
12	302	9
done	302	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

10.0ms	(* (- 1.0 x) z)
6.0ms	(+ (* x y) (* (- 1.0 x) z))

series59.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) z)
31.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify1.6s

Counts

39 → 39

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	71	405
1	195	379
2	724	345
3	3045	345
done	5000	345

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- 1.0 x))
3.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
13.0ms	(* (sqrt (- 1.0 x)) z)
26.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series182.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (- 1.0 x))
30.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
88.0ms	(* (sqrt (- 1.0 x)) z)
30.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify517.0ms

Counts

97 → 97

Iterations

Useful iterations: done (514.0ms)

Iter	Nodes	Cost
0	159	1378
1	414	1046
2	1348	944
done	5002	938

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (* x (+ 1.0 x)))))
0.0b	(* x (+ 1.0 x))
2.7b	(* (- (pow 1.0 3) (pow x 3)) z)
11.2b	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (* x (+ 1.0 x))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

14.0ms	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (* x (+ 1.0 x)))))
9.0ms	(* x (+ 1.0 x))
59.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
29.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (* x (+ 1.0 x))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (* x (+ 1.0 x)))))
44.0ms	(* x (+ 1.0 x))
39.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
79.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (* x (+ 1.0 x))))

simplify812.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	185	1879
1	540	1741
2	2375	1567
done	5000	1567

prune302.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))
0.1b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.1b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.2b	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* x y) (* (- 1.0 x) z))
3.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
19.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x y) (* (- 1.0 x) z))
117.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
116.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
35.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify3.2s

Counts

110 → 110

Iterations

Useful iterations: 3 (541.0ms)

Iter	Nodes	Cost
0	117	2542
1	277	1837
2	951	1683
3	4626	1616
done	5000	1616

prune196.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes90.0ms

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	9
1	11	9
done	11	9

end0.0ms

sample427.0ms

Algorithm

intervals

Results

227.0ms

10036×

body

valid