Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	66×	body	1280	valid
7.0ms	45×	body	640	valid
3.0ms	117×	body	80	valid
2.0ms	23×	body	320	valid
0.0ms	5×	body	160	valid

simplify140.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ (+ x 1.0) (- x 1.0))
1.3b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`distribute-lft-out` `distribute-lft-out--`
9×	`associate-/r*` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 104

Calls

3 calls:

23.0ms	(/ x (+ x 1.0))
56.0ms	(/ (+ x 1.0) (- x 1.0))
133.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series295.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ x (+ x 1.0))
62.0ms	(/ (+ x 1.0) (- x 1.0))
183.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify2.0s

Counts: 113 → 113

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
0.2b	(/ 3.0 (pow x 3))
0.4b	(/ (- 1.0) (pow x 2))
7.2b	(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

rewrite948.0ms

Algorithm

rewrite-expression-head

Rules

143×	`times-frac`
120×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
78×	`add-cube-cbrt`
48×	`unpow-prod-down`
29×	`distribute-rgt-neg-in`
27×	`distribute-lft-neg-in`
20×	`associate-/r*`
18×	`sqr-pow`
15×	`difference-of-squares`
14×	`add-exp-log`
13×	`cube-prod` `associate-/l*` `unpow2`
11×	`add-log-exp`
10×	`distribute-lft-out--`
9×	`neg-mul-1`
8×	`add-cbrt-cube`
6×	`div-exp`
5×	`frac-sub`
4×	`pow1` `cube-mult` `diff-log` `unpow3`
3×	`sub-neg` `flip3--` `flip--`
2×	`cbrt-undiv` `associate--l-` `neg-sub0` `pow-to-exp` `frac-2neg` `div-sub` `pow-exp` `associate--l+` `clear-num` `div-inv`
1×	`distribute-frac-neg`

Counts

4 → 234

Calls

4 calls:

136.0ms	(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
13.0ms	(/ 3.0 (pow x 3))
17.0ms	(/ (- 1.0) (pow x 2))
768.0ms	(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
39.0ms	(/ 3.0 (pow x 3))
31.0ms	(/ (- 1.0) (pow x 2))
51.0ms	(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

simplify1.3s

Counts: 246 → 246

prune526.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ 1 (- x 1.0))
0.1b	(* (/ 1 (- x 1.0)) (+ x 1.0))
6.1b	(- (/ x (+ x 1.0)) (* (/ 1 (- x 1.0)) (+ x 1.0)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

18.0ms	(/ x (+ x 1.0))
16.0ms	(/ 1 (- x 1.0))
47.0ms	(* (/ 1 (- x 1.0)) (+ x 1.0))
75.0ms	(- (/ x (+ x 1.0)) (* (/ 1 (- x 1.0)) (+ x 1.0)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ x (+ x 1.0))
38.0ms	(/ 1 (- x 1.0))
45.0ms	(* (/ 1 (- x 1.0)) (+ x 1.0))
193.0ms	(- (/ x (+ x 1.0)) (* (/ 1 (- x 1.0)) (+ x 1.0)))

simplify1.0s

Counts: 155 → 155

prune253.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1.0))
0.0b	(/ 1 (- x 1.0))
0.1b	(* x (/ 1 (- x 1.0)))
6.1b	(- (/ x (+ x 1.0)) (* x (/ 1 (- x 1.0))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

12.0ms	(/ 1 (- x 1.0))
12.0ms	(/ 1 (- x 1.0))
34.0ms	(* x (/ 1 (- x 1.0)))
53.0ms	(- (/ x (+ x 1.0)) (* x (/ 1 (- x 1.0))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 1 (- x 1.0))
40.0ms	(/ 1 (- x 1.0))
49.0ms	(* x (/ 1 (- x 1.0)))
180.0ms	(- (/ x (+ x 1.0)) (* x (/ 1 (- x 1.0))))

simplify814.0ms

Counts: 153 → 153

prune260.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 24.9b

bsearch106.0ms

Steps

Iters	Range		Point
9	15.61478477777618	1958959.7701095298	299480.8318210151
11	-4.7422492710449806e+39	-380908646326105.1	-1816146799751588.0

simplify891.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

400.0ms	1759×	body	1280	valid
246.0ms	4109×	body	80	valid
205.0ms	1209×	body	640	valid
134.0ms	621×	body	320	valid
21.0ms	302×	body	160	valid