Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

331×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	56	7
4	137	7
5	203	7
6	261	7
7	351	7
8	498	7
9	623	7
10	678	7
11	682	7
done	682	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

38.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify2.4s

Counts

36 → 36

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	84	448
1	240	433
2	911	401
3	3850	401
done	5002	401

prune107.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

8.0ms	(sqrt (- 1.0 z))
8.0ms	(sqrt (- 1.0 z))
133.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
64.0ms	(* (+ x y) (sqrt (- 1.0 z)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (- 1.0 z))
56.0ms	(sqrt (- 1.0 z))
62.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
102.0ms	(* (+ x y) (sqrt (- 1.0 z)))

simplify1.1s

Counts

128 → 128

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	188	2209
1	490	1891
2	1452	1726
done	5000	1722

prune512.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.7b	(* (- (* x x) (* y y)) (- 1.0 z))
3.7b	(- (* x x) (* y y))
27.3b	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

63.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
15.0ms	(- (* x x) (* y y))
70.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

series253.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
60.0ms	(- (* x x) (* y y))
96.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	158	1604
1	460	1523
2	2124	1319
done	5001	1303

prune295.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
32×	`frac-times`
21×	`flip3-+` `flip-+`
16×	`associate-*r/`
14×	`associate-l`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`flip3--` `flip--`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
9×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`sub-neg` `associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 93

Calls

2 calls:

60.0ms	(* (sqrt (+ x y)) (- 1.0 z))
131.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

series202.0ms

Counts

2 → 6

Calls

2 calls:

137.0ms	(* (sqrt (+ x y)) (- 1.0 z))
65.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	181	2060
1	482	1688
2	1633	1546
done	5000	1534

prune323.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample793.0ms

Algorithm

intervals

Results

421.0ms	10072×	body	80	valid
0.0ms	2×	body	640	valid