Details

sample32.0ms

Algorithm

intervals

Results

18.0ms

281×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	3220
24	3220
23	3219
22	3167
21	3099
20	3072
19	3053
18	3032
17	2371
16	2069
15	1680
14	1194
13	918
12	691
11	531
10	335
9	174
8	115
7	95
6	77
5	69
4	65
3	43
2	19
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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/` `insert-posit16`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

19.0ms	(- (* (+ x 1.0) y) x)
29.0ms	(* (+ x 1.0) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- (* (+ x 1.0) y) x)
45.0ms	(* (+ x 1.0) y)

simplify1.9s

Counts

41 → 41

Iterations

Iter	Nodes
done	5008
3	2094
2	462
1	156
0	65

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (* y (- x 1.0)) (+ 1.0 x)) (- x 1.0)) x)
0.0b	(* y (- x 1.0))
0.1b	(* (* y (- x 1.0)) (+ 1.0 x))
9.7b	(/ (* (* y (- x 1.0)) (+ 1.0 x)) (- x 1.0))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`associate-*r/`
11×	`pow1`
9×	`flip3--` `associate-r` `add-cube-cbrt` `flip--`
8×	`frac-times` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`associate-/r*` `times-frac`
4×	`associate-l` `pow-prod-down` `associate-*l/` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp`
2×	`associate-/r/` `*-commutative`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

79.0ms	(- (/ (* (* y (- x 1.0)) (+ 1.0 x)) (- x 1.0)) x)
14.0ms	(* y (- x 1.0))
31.0ms	(* (* y (- x 1.0)) (+ 1.0 x))
47.0ms	(/ (* (* y (- x 1.0)) (+ 1.0 x)) (- x 1.0))

series265.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (/ (* (* y (- x 1.0)) (+ 1.0 x)) (- x 1.0)) x)
54.0ms	(* y (- x 1.0))
123.0ms	(* (* y (- x 1.0)) (+ 1.0 x))
40.0ms	(/ (* (* y (- x 1.0)) (+ 1.0 x)) (- x 1.0))

simplify1.9s

Counts

122 → 122

Iterations

Iter	Nodes
done	5006
2	2357
1	543
0	175

prune482.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x 1.0))
0.0b	(* y (- x 1.0))
0.1b	(* x (* y (- x 1.0)))
9.7b	(/ (+ (* 1.0 (* y (- x 1.0))) (* x (* y (- x 1.0)))) (- x 1.0))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
24×	`associate-*r/`
20×	`times-frac` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r`
9×	`associate-l`
8×	`sub-neg` `flip3--` `flip--`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`distribute-rgt-out` `associate-/l/`
5×	`associate-/r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-add` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`*-commutative`
2×	`associate-/r/` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 133

Calls

4 calls:

29.0ms	(* y (- x 1.0))
32.0ms	(* y (- x 1.0))
27.0ms	(* x (* y (- x 1.0)))
117.0ms	(/ (+ (* 1.0 (* y (- x 1.0))) (* x (* y (- x 1.0)))) (- x 1.0))

series322.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* y (- x 1.0))
36.0ms	(* y (- x 1.0))
59.0ms	(* x (* y (- x 1.0)))
182.0ms	(/ (+ (* 1.0 (* y (- x 1.0))) (* x (* y (- x 1.0)))) (- x 1.0))

simplify1.6s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1697
1	456
0	170

prune591.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/` `add-cube-cbrt`
8×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `flip--`

Counts

4 → 87

Calls

4 calls:

9.0ms	(sqrt (+ x 1.0))
43.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
15.0ms	(* (sqrt (+ x 1.0)) y)
47.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series267.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (+ x 1.0))
47.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
121.0ms	(* (sqrt (+ x 1.0)) y)
37.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify2.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5064
3	3647
2	1037
1	369
0	152

prune410.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

541.0ms	9093×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid