Details

sample46.0ms

Algorithm

intervals

Results

11.0ms	56×	body	640	valid
7.0ms	136×	body	80	valid
6.0ms	47×	body	320	valid
1.0ms	17×	body	160	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize70.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`

Counts

2 → 316

Calls

2 calls:

24.0ms	(/ 1.0 (+ x 1.0))
202.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series113.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1.0 (+ x 1.0))
77.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify4.7s

Counts

322 → 322

Iterations

Iter	Nodes
done	5000
2	2283
1	920
0	389

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize80.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
2.4b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`expm1-log1p-u` `times-frac` `associate-r` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

87.0ms	(* (+ x 1.0) x)
59.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
24.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (+ x 1.0) x)
53.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
13.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify4.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5004
2	1650
1	370
0	125

prune796.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.9b	(/ (- 1.0) (* (+ x 1.0) x))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt` `associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`expm1-log1p-u` `cbrt-undiv` `neg-mul-1` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `clear-num` `associate-/r` `frac-2neg` `div-sub` `pow-prod-down` `distribute-frac-neg` `-commutative` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

2 → 66

Calls

2 calls:

70.0ms	(* (+ x 1.0) x)
37.0ms	(/ (- 1.0) (* (+ x 1.0) x))

series120.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (+ x 1.0) x)
47.0ms	(/ (- 1.0) (* (+ x 1.0) x))

simplify2.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1021
1	307
0	124

prune681.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize155.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- (* x x) (* 1.0 1.0)) x)
0.1b	(/ (- 1.0) (* (- (* x x) (* 1.0 1.0)) x))
4.1b	(* (/ (- 1.0) (* (- (* x x) (* 1.0 1.0)) x)) (- x 1.0))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
20×	`times-frac` `associate-l`
19×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/l*`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
8×	`associate-r`
7×	`pow1` `associate-*l/`
6×	`prod-exp` `cbrt-unprod`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`expm1-log1p-u` `neg-mul-1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `sub-neg` `pow-prod-down` `associate-r/` `distribute-frac-neg` `-commutative` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-sub0` `clear-num` `associate-/r*` `frac-2neg` `div-sub` `distribute-lft-out--`

Counts

3 → 134

Calls

3 calls:

100.0ms	(* (- (* x x) (* 1.0 1.0)) x)
54.0ms	(/ (- 1.0) (* (- (* x x) (* 1.0 1.0)) x))
263.0ms	(* (/ (- 1.0) (* (- (* x x) (* 1.0 1.0)) x)) (- x 1.0))

series328.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(* (- (* x x) (* 1.0 1.0)) x)
122.0ms	(/ (- 1.0) (* (- (* x x) (* 1.0 1.0)) x))
85.0ms	(* (/ (- 1.0) (* (- (* x x) (* 1.0 1.0)) x)) (- x 1.0))

simplify6.5s

Counts

143 → 143

Iterations

Iter	Nodes
done	5002
2	3127
1	747
0	249

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	10
1	10
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

586.0ms	1983×	body	640	valid
308.0ms	4149×	body	80	valid
253.0ms	1259×	body	320	valid
73.0ms	609×	body	160	valid