Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

285×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	10	123
2	19	123
3	43	123
4	71	123
5	85	123
6	93	123
7	113	123
8	155	123
9	460	123
10	2509	123
done	5001	123

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

17.0ms	(* (+ x 1.0) y)
14.0ms	(- (* (+ x 1.0) y) x)

series61.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (+ x 1.0) y)
23.0ms	(- (* (+ x 1.0) y) x)

simplify677.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	63	7201
1	154	6218
2	645	6138
done	5001	6138

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
4.0b	(* (- (* x x) (* 1.0 1.0)) y)
8.1b	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

42.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
35.0ms	(* (- (* x x) (* 1.0 1.0)) y)
30.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series180.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
58.0ms	(* (- (* x x) (* 1.0 1.0)) y)
69.0ms	(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify1.7s

Counts

73 → 73

Iterations

Useful iterations: 2 (450.0ms)

Iter	Nodes	Cost
0	126	21944
1	358	19573
2	2130	18093
done	5000	18093

prune327.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

8.0ms	(sqrt (+ x 1.0))
9.0ms	(sqrt (+ x 1.0))
59.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))
21.0ms	(* (sqrt (+ x 1.0)) y)

series221.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ x 1.0))
37.0ms	(sqrt (+ x 1.0))
36.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))
115.0ms	(* (sqrt (+ x 1.0)) y)

simplify924.0ms

Counts

99 → 99

Iterations

Useful iterations: done (914.0ms)

Iter	Nodes	Cost
0	129	27448
1	323	21455
2	1286	19531
done	5001	19371

prune372.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* (+ x 1.0) (sqrt y)) (sqrt y)) x)
0.1b	(* (+ x 1.0) (sqrt y))
0.2b	(* (* (+ x 1.0) (sqrt y)) (sqrt y))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-*l/`
5×	`associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `*-commutative` `flip-+` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

3 → 60

Calls

3 calls:

44.0ms	(- (* (* (+ x 1.0) (sqrt y)) (sqrt y)) x)
27.0ms	(* (+ x 1.0) (sqrt y))
46.0ms	(* (* (+ x 1.0) (sqrt y)) (sqrt y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* (* (+ x 1.0) (sqrt y)) (sqrt y)) x)
43.0ms	(* (+ x 1.0) (sqrt y))
42.0ms	(* (* (+ x 1.0) (sqrt y)) (sqrt y))

simplify1.0s

Counts

69 → 69

Iterations

Useful iterations: 2 (285.0ms)

Iter	Nodes	Cost
0	108	16983
1	286	12625
2	1414	12305
done	5001	12385

prune236.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes155.0ms

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	6	123
1	8	123
done	8	123

end0.0ms

sample507.0ms

Algorithm

intervals

Results

323.0ms	9172×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid