Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

305×

body

valid

simplify412.0ms

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	333	9
12	337	9
done	337	9

prune2.0ms

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

9.0ms	(* z (- 1.0 y))
3.0ms	(+ (* x y) (* z (- 1.0 y)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* z (- 1.0 y))
29.0ms	(+ (* x y) (* z (- 1.0 y)))

simplify1.3s

Counts

47 → 47

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	77	459
1	195	437
2	710	397
3	2661	397
done	5000	397

prune79.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

2.0ms	(+ (* x y) (* z 1.0))
11.0ms	(+ (+ (* x y) (* z 1.0)) (* z (- y)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* z 1.0))
29.0ms	(+ (+ (* x y) (* z 1.0)) (* z (- y)))

simplify1.2s

Counts

32 → 32

Iterations

Useful iterations: 3 (245.0ms)

Iter	Nodes	Cost
0	55	457
1	198	399
2	714	360
3	2891	349
done	5000	349

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `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--` `difference-of-squares`
2×	`associate-l/` `-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 y))
3.0ms	(+ (* x y) (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
24.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
11.0ms	(* z (sqrt (- 1.0 y)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (- 1.0 y))
32.0ms	(+ (* x y) (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
34.0ms	(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
60.0ms	(* z (sqrt (- 1.0 y)))

simplify662.0ms

Counts

97 → 97

Iterations

Useful iterations: done (659.0ms)

Iter	Nodes	Cost
0	161	1383
1	426	1059
2	1693	943
done	5000	939

prune202.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- 1.0 y))
0.0b	(+ (* x y) (cbrt (pow (* z (- 1.0 y)) 3)))
0.1b	(pow (* z (- 1.0 y)) 3)
40.1b	(cbrt (pow (* z (- 1.0 y)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

10.0ms	(* z (- 1.0 y))
5.0ms	(+ (* x y) (cbrt (pow (* z (- 1.0 y)) 3)))
4.0ms	(pow (* z (- 1.0 y)) 3)
2.0ms	(cbrt (pow (* z (- 1.0 y)) 3))

series176.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (- 1.0 y))
49.0ms	(+ (* x y) (cbrt (pow (* z (- 1.0 y)) 3)))
50.0ms	(pow (* z (- 1.0 y)) 3)
45.0ms	(cbrt (pow (* z (- 1.0 y)) 3))

simplify516.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	142	1089
1	357	890
2	1456	796
done	5001	796

prune191.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	17	12
2	20	12
3	21	12
done	21	12

end0.0ms

sample424.0ms

Algorithm

intervals

Results

225.0ms

10100×

body

valid