Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

326×

body

valid

simplify69.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	62	3
3	164	3
4	320	3
5	438	3
6	600	3
7	831	3
8	1451	3
9	2357	3
10	2545	3
11	2545	3
done	2545	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

34.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify42.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	397	499
1	1589	357
2	5001	356
done	5001	356

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma x z (* z y))
0.0ms	(fma 1.0 y (- (fma x z (* z y))))

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma x z (* z y))
42.0ms	(fma 1.0 y (- (fma x z (* z y))))

simplify66.0ms

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	116
1	113	102
2	436	102
3	2118	102
4	5002	102
done	5002	102

prune61.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (+ x y) (- 1.0 z)))
0.0b	(* (+ x y) (- 1.0 z))
0.0b	(* (+ x y) (- 1.0 z))
0.3b	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

152×	`sqrt-div`
148×	`frac-times`
63×	`flip3--` `flip3-+` `flip--` `flip-+`
60×	`pow1`
50×	`associate-r/` `associate-l/`
46×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
30×	`sqrt-pow1`
23×	`pow-prod-down`
22×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-r`
12×	`associate-l`
11×	`pow1/2`
10×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `sub-neg` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 258

Calls

4 calls:

21.0ms	(sqrt (* (+ x y) (- 1.0 z)))
34.0ms	(* (+ x y) (- 1.0 z))
36.0ms	(* (+ x y) (- 1.0 z))
85.0ms	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(sqrt (* (+ x y) (- 1.0 z)))
34.0ms	(* (+ x y) (- 1.0 z))
37.0ms	(* (+ x y) (- 1.0 z))
134.0ms	(* (sqrt (* (+ x y) (- 1.0 z))) (sqrt (* (+ x y) (- 1.0 z))))

simplify102.0ms

Counts

270 → 270

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	719	3293
1	2933	2948
2	5001	2919
done	5001	2919

prune563.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ (pow x 3) (pow y 3)) (- 1.0 z))
1.6b	(+ (pow x 3) (pow y 3))
2.0b	(- (* y y) (* x y))
37.8b	(/ (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (+ (* x x) (- (* y y) (* x y))))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
19×	`prod-diff`
12×	`fma-def`
11×	`add-exp-log` `distribute-rgt-in` `unpow-prod-down` `distribute-lft-in` `cube-prod` `add-cbrt-cube`
10×	`distribute-lft-out`
9×	`associate-l`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/` `add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `unpow3` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 139

Calls

4 calls:

86.0ms	(* (+ (pow x 3) (pow y 3)) (- 1.0 z))
21.0ms	(+ (pow x 3) (pow y 3))
8.0ms	(- (* y y) (* x y))
66.0ms	(/ (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (+ (* x x) (- (* y y) (* x y))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ (pow x 3) (pow y 3)) (- 1.0 z))
53.0ms	(+ (pow x 3) (pow y 3))
32.0ms	(- (* y y) (* x y))
84.0ms	(/ (* (+ (pow x 3) (pow y 3)) (- 1.0 z)) (+ (* x x) (- (* y y) (* x y))))

simplify98.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	705	1367
1	3648	1125
2	5001	1123
done	5001	1123

prune380.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes112.0ms

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	9	3
1	9	3
done	9	3

end0.0ms

sample455.0ms

Algorithm

intervals

Results

188.0ms	10116×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid