Details

sample48.0ms

Algorithm

intervals

Results

15.0ms	58×	body	640	valid
9.0ms	127×	body	80	valid
7.0ms	21×	body	1280	valid
6.0ms	29×	body	320	valid
3.0ms	21×	body	160	valid

simplify142.0ms

Counts

1 → 1

Iterations

Iter	Nodes
11	195
10	195
9	187
8	132
7	94
6	83
5	75
4	63
3	43
2	33
1	19
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(- (/ 1 (+ x 1)) (/ 2 x))
0.0b	(/ 1 (+ x 1))
2.2b	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
715×	`times-frac`
544×	`add-sqr-sqrt`
494×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
99×	`distribute-lft-out`
72×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
22×	`distribute-lft-out--`
20×	`difference-of-squares`
18×	`fma-neg`
13×	`fma-def`
12×	`add-exp-log`
11×	`associate-/r*` `add-log-exp`
8×	`add-cbrt-cube`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `difference-of-sqr-1` `div-exp` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `1-exp` `frac-sub` `pow-flip` `inv-pow`
1×	`+-commutative` `associate-+l-`

Counts

4 → 644

Calls

4 calls:

7.0ms	(/ 1 (- x 1))
58.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
15.0ms	(/ 1 (+ x 1))
167.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1 (- x 1))
39.0ms	(- (/ 1 (+ x 1)) (/ 2 x))
25.0ms	(/ 1 (+ x 1))
138.0ms	(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))

simplify3.4s

Counts

656 → 656

Iterations

Iter	Nodes
2	2683
1	1118
0	491

prune6.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1 x) (* (+ x 1) 2))
0.0b	(* (+ x 1) x)
1.7b	(+ (/ (- (* 1 x) (* (+ x 1) 2)) (* (+ x 1) x)) (/ 1 (- x 1)))
17.5b	(/ (- (* 1 x) (* (+ x 1) 2)) (* (+ x 1) x))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

6.0ms	(- (* 1 x) (* (+ x 1) 2))
12.0ms	(* (+ x 1) x)
63.0ms	(+ (/ (- (* 1 x) (* (+ x 1) 2)) (* (+ x 1) x)) (/ 1 (- x 1)))
28.0ms	(/ (- (* 1 x) (* (+ x 1) 2)) (* (+ x 1) x))

series280.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1 x) (* (+ x 1) 2))
45.0ms	(* (+ x 1) x)
148.0ms	(+ (/ (- (* 1 x) (* (+ x 1) 2)) (* (+ x 1) x)) (/ 1 (- x 1)))
44.0ms	(/ (- (* 1 x) (* (+ x 1) 2)) (* (+ x 1) x))

simplify14.3s

Counts

105 → 105

Iterations

Iter	Nodes
3	8064
2	1697
1	482
0	161

prune878.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
0.0b	(* (* (+ x 1) x) (- x 1))
19.5b	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
54×	`prod-diff`
53×	`*-un-lft-identity`
48×	`associate-*l/`
45×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
21×	`flip3--` `flip--`
17×	`associate-r`
16×	`frac-times` `frac-add`
13×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`associate-l` `associate-*r/`
6×	`sub-neg` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`*-commutative`
2×	`difference-of-sqr-1` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `distribute-lft-out`

Counts

4 → 183

Calls

4 calls:

22.0ms	(* (+ x 1) x)
29.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
35.0ms	(* (* (+ x 1) x) (- x 1))
52.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

series249.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ x 1) x)
39.0ms	(* (- (* 1 x) (* (+ x 1) 2)) (- x 1))
140.0ms	(* (* (+ x 1) x) (- x 1))
2.0ms	(+ (* (- (* 1 x) (* (+ x 1) 2)) (- x 1)) (* (* (+ x 1) x) 1))

simplify2.9s

Counts

195 → 195

Iterations

Iter	Nodes
2	4448
1	1051
0	316

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1) x)
0.0b	(* (* (+ x 1) x) (- x 1))
0.4b	(/ 2 (* (* (+ x 1) x) (- x 1)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

23.0ms	(* (+ x 1) x)
37.0ms	(* (* (+ x 1) x) (- x 1))
35.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

series273.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (+ x 1) x)
143.0ms	(* (* (+ x 1) x) (- x 1))
71.0ms	(/ 2 (* (* (+ x 1) x) (- x 1)))

simplify9.4s

Counts

119 → 119

Iterations

Iter	Nodes
3	6094
2	1659
1	600
0	204

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	7
0	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

825.0ms	1879×	body	640	valid
651.0ms	4080×	body	80	valid
364.0ms	972×	body	320	valid
352.0ms	565×	body	1280	valid
100.0ms	508×	body	160	valid