Details

sample53.0ms

Algorithm

intervals

Results

11.0ms	202×	body	80	valid
10.0ms	34×	body	1280	valid
6.0ms	30×	body	640	valid
3.0ms	23×	body	320	valid
3.0ms	10×	body	2560	valid
1.0ms	12×	body	160	valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.6s)

Iter	Nodes	Cost
0	9	15
1	23	13
2	75	11
3	215	9
4	741	7
5	4690	5
done	5000	5

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

39.0ms

(* (- x z) y)

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (- x z) y)

simplify5.9s

Counts

27 → 27

Iterations

Useful iterations: 3 (997.0ms)

Iter	Nodes	Cost
0	51	197
1	114	190
2	447	172
3	4961	170
done	5000	170

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* y y))
0.0b	(- (+ (* x y) (* y y)) (* y z))
12.1b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

16.0ms	(+ (* x y) (* y y))
91.0ms	(- (+ (* x y) (* y y)) (* y z))
344.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* y y))
32.0ms	(- (+ (* x y) (* y y)) (* y z))
59.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify4.0s

Counts

83 → 83

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	104	1253
1	319	1049
2	1910	850
done	5001	792

prune290.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

3.3b	(- (* x x) (* z z))
12.4b	(* (- (* x x) (* z z)) y)
17.7b	(/ (* (- (* x x) (* z z)) y) (+ x z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

9.0ms	(- (* x x) (* z z))
28.0ms	(* (- (* x x) (* z z)) y)
31.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

series167.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* x x) (* z z))
52.0ms	(* (- (* x x) (* z z)) y)
66.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

simplify2.0s

Counts

78 → 78

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	115	1059
1	333	1022
2	2074	867
done	5001	859

prune187.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- x z))
0.3b	(pow (* y (- x z)) 3)
32.8b	(cbrt (pow (* y (- x z)) 3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 93

Calls

3 calls:

52.0ms	(* y (- x z))
13.0ms	(pow (* y (- x z)) 3)
4.0ms	(cbrt (pow (* y (- x z)) 3))

series212.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* y (- x z))
79.0ms	(pow (* y (- x z)) 3)
81.0ms	(cbrt (pow (* y (- x z)) 3))

simplify1.5s

Counts

102 → 102

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	170	1343
1	447	1036
2	2235	898
done	5000	874

prune252.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes76.0ms

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	6	5
done	6	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

662.0ms	978×	body	1280	valid
574.0ms	7003×	body	80	valid
173.0ms	897×	body	640	valid
101.0ms	206×	body	2560	valid
91.0ms	628×	body	320	valid
36.0ms	358×	body	160	valid