Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	56×	body	640	valid
10.0ms	141×	body	80	valid
10.0ms	29×	body	1280	valid
3.0ms	16×	body	320	valid
2.0ms	14×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	31	15
3	41	15
4	88	15
5	135	15
6	162	15
7	211	15
8	441	15
9	1208	15
done	5000	15

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.3b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

725×	`*-un-lft-identity`
703×	`times-frac`
524×	`add-sqr-sqrt`
492×	`add-cube-cbrt`
468×	`prod-diff`
236×	`associate-+l+`
95×	`distribute-lft-out`
65×	`div-inv`
58×	`associate-/r/`
29×	`flip3-+` `flip-+`
18×	`fma-neg`
17×	`distribute-lft-out--`
12×	`difference-of-squares`
11×	`add-log-exp`
10×	`fma-def`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub`
1×	`+-commutative` `associate-+l-`

Counts

4 → 618

Calls

4 calls:

11.0ms	(/ 1.0 (+ x 1.0))
18.0ms	(/ 1.0 (- x 1.0))
114.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
454.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1.0 (+ x 1.0))
52.0ms	(/ 1.0 (- x 1.0))
50.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
321.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify2.7s

Counts

630 → 630

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	502	19834
1	1194	17509
2	4196	13396
done	5000	13269

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
29.1b	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

27.0ms	(* (+ x 1.0) x)
9.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
89.0ms	(* (* (+ x 1.0) x) (- x 1.0))
1.0ms	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

series531.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (+ x 1.0) x)
55.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
136.0ms	(* (* (+ x 1.0) x) (- x 1.0))
260.0ms	(fma (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0) (* (* (+ x 1.0) x) 1.0))

simplify2.8s

Counts

113 → 113

Iterations

Useful iterations: 2 (748.0ms)

Iter	Nodes	Cost
0	188	1892
1	568	1696
2	4093	1471
done	5000	1471

prune364.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(* (* (+ x 1.0) x) (- x 1.0))
0.3b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

27.0ms	(* (+ x 1.0) x)
68.0ms	(* (* (+ x 1.0) x) (- x 1.0))
42.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series371.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (+ x 1.0) x)
174.0ms	(* (* (+ x 1.0) x) (- x 1.0))
125.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify3.0s

Counts

117 → 117

Iterations

Useful iterations: 2 (911.0ms)

Iter	Nodes	Cost
0	206	1975
1	616	1776
2	4500	1523
done	5000	1523

prune377.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.5b	(/ 2.0 (* (+ x 1.0) x))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
51×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/` `associate-/r/`
12×	`associate-/l*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`flip3-+` `flip-+` `div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

3 → 128

Calls

3 calls:

32.0ms	(* (+ x 1.0) x)
42.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
23.0ms	(/ 2.0 (* (+ x 1.0) x))

series297.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (+ x 1.0) x)
158.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
51.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify2.3s

Counts

137 → 137

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	227	2149
1	606	2040
2	3343	1884
done	5002	1877

prune382.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	13
1	15	11
2	16	11
done	16	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

950.0ms	1868×	body	640	valid
282.0ms	4088×	body	80	valid
258.0ms	588×	body	1280	valid
218.0ms	987×	body	320	valid
49.0ms	471×	body	160	valid