Details

sample89.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	15	5
done	15	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

46.0ms

(* (+ x y) z)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (+ x y) z)

simplify600.0ms

Counts

24 → 24

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	45	178
1	111	175
2	499	151
done	5000	151

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (* x x) (* y y))
10.6b	(* (- (* x x) (* y y)) z)
19.9b	(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-l` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

14.0ms	(- (* x x) (* y y))
35.0ms	(* (- (* x x) (* y y)) z)
45.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

series188.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* x x) (* y y))
63.0ms	(* (- (* x x) (* y y)) z)
83.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	113	1012
1	324	989
2	2009	827
done	5000	819

prune191.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x y) z)
0.1b	(* (+ x y) (* (- x y) z))
19.9b	(/ (* (+ x y) (* (- x y) z)) (- x y))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*l/`
16×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-l`
8×	`frac-times` `add-cube-cbrt` `flip3--` `flip--` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-r*` `pow-prod-down`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`associate-/r/` `*-commutative`
1×	`frac-2neg` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

29.0ms	(* (- x y) z)
61.0ms	(* (+ x y) (* (- x y) z))
72.0ms	(/ (* (+ x y) (* (- x y) z)) (- x y))

series152.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (- x y) z)
71.0ms	(* (+ x y) (* (- x y) z))
42.0ms	(/ (* (+ x y) (* (- x y) z)) (- x y))

simplify1.9s

Counts

95 → 95

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	135	1312
1	416	1272
2	3364	1036
done	5001	1018

prune281.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* y y) (* x y))
3.9b	(+ (pow x 3) (pow y 3))
7.4b	(* (+ (pow x 3) (pow y 3)) z)
37.0b	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

17.0ms	(- (* y y) (* x y))
34.0ms	(+ (pow x 3) (pow y 3))
92.0ms	(* (+ (pow x 3) (pow y 3)) z)
86.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* y y) (* x y))
86.0ms	(+ (pow x 3) (pow y 3))
100.0ms	(* (+ (pow x 3) (pow y 3)) z)
124.0ms	(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	133	1497
1	381	1337
2	2216	1143
done	5002	1139

prune437.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes146.0ms

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	5	5
1	7	5
done	7	5

end0.0ms

sample817.0ms

Algorithm

intervals

Results

318.0ms

9995×

body

valid