Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	52×	body	640	valid
6.0ms	50×	body	320	valid
5.0ms	123×	body	80	valid
2.0ms	31×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
4.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite123.0ms

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` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
94.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series116.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ 1.0 (+ x 1.0))
86.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.4s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
2	2272
1	917
0	387

prune894.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

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))
3.6b	(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite44.0ms

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` `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 → 67

Calls

3 calls:

16.0ms	(* (+ x 1.0) x)
20.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
7.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

series120.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (+ x 1.0) x)
42.0ms	(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
8.0ms	(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1628
1	368
0	122

prune362.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
4.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite154.0ms

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` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

9.0ms	(/ 1.0 (+ x 1.0))
117.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series117.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1.0 (+ x 1.0))
80.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.1s

Counts

320 → 320

Iterations

Iter	Nodes
done	5000
2	2272
1	917
0	387

prune802.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* x x))
0.5b	(/ 1.0 (* x x))
0.5b	(/ 1.0 (* x x))
10.3b	(- (/ 1.0 (* x (* x x))) (fma (/ 1.0 (* x x)) (/ 1 (* x x)) (/ 1.0 (* x x))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-exp-log` `add-cube-cbrt`
21×	`times-frac` `prod-diff`
19×	`add-cbrt-cube`
12×	`pow1`
9×	`associate-/l*`
8×	`div-exp`
7×	`fma-neg` `div-inv`
6×	`cbrt-undiv` `pow-flip` `add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`clear-num` `associate-/r*` `frac-2neg` `cbrt-unprod`
2×	`rec-exp` `1-exp`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `pow-sqr` `pow-prod-up` `fma-udef` `flip--` `associate--r+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

11.0ms	(/ 1 (* x x))
6.0ms	(/ 1.0 (* x x))
6.0ms	(/ 1.0 (* x x))
50.0ms	(- (/ 1.0 (* x (* x x))) (fma (/ 1.0 (* x x)) (/ 1 (* x x)) (/ 1.0 (* x x))))

series182.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (* x x))
59.0ms	(/ 1.0 (* x x))
44.0ms	(/ 1.0 (* x x))
44.0ms	(- (/ 1.0 (* x (* x x))) (fma (/ 1.0 (* x x)) (/ 1 (* x x)) (/ 1.0 (* x x))))

simplify2.0s

Counts

137 → 137

Iterations

Iter	Nodes
done	5004
2	1193
1	370
0	165

prune606.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 13.7b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample789.0ms

Algorithm

intervals

Results

264.0ms	1851×	body	640	valid
235.0ms	1353×	body	320	valid
132.0ms	4174×	body	80	valid
36.0ms	622×	body	160	valid