Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	62×	body	640	valid
4.0ms	146×	body	80	valid
2.0ms	31×	body	320	valid
1.0ms	17×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	9
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize14.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

346×	`times-frac`
344×	`*-un-lft-identity`
255×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
234×	`prod-diff`
45×	`distribute-lft-out`
34×	`div-inv`
28×	`associate-/r/`
18×	`fma-neg`
14×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `log1p-expm1-u` `flip--`

Counts

1 → 279

Calls

1 calls:

85.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.0s

Counts

282 → 282

Iterations

Iter	Nodes
done	5000
2	2793
1	836
0	364

prune609.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.9b	(- x (+ x 1.0))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `flip3--` `diff-log` `associate-l/` `associate-r/` `associate-/r/` `log1p-expm1-u` `flip--` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `times-frac` `flip-+` `div-inv` `associate-/l` `associate--r+` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

65.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
32.0ms	(- x (+ x 1.0))

series51.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify2.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	3328
1	403
0	133

prune257.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp`
3×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`prod-exp` `cbrt-unprod`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-l/` `distribute-frac-neg` `distribute-rgt-neg-out` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp` `associate-/l/`

Counts

1 → 27

Calls

1 calls:

26.0ms

(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

simplify961.0ms

Counts

30 → 30

Iterations

Iter	Nodes
done	5000
2	1902
1	263
0	85

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* 1.0 (- 0 1.0)) (* (+ x 1.0) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `associate-r/` `associate-/r/` `associate-/l/`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `flip3-+` `times-frac` `flip3--` `distribute-frac-neg` `distribute-rgt-neg-out` `add-cube-cbrt` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*` `add-log-exp` `sub0-neg`

Counts

1 → 28

Calls

1 calls:

29.0ms

(/ (* 1.0 (- 0 1.0)) (* (+ x 1.0) x))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (* 1.0 (- 0 1.0)) (* (+ x 1.0) x))

simplify1.5s

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
2	2266
1	316
0	90

prune91.0ms

Pruning

5 alts after pruning (3 fresh and 2 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

simplify4.0ms

Iterations

Iter	Nodes
done	19
3	19
2	17
1	11
0	7

end0.0ms

sample995.0ms

Algorithm

intervals

Results

363.0ms	1949×	body	640	valid
223.0ms	4145×	body	80	valid
178.0ms	1279×	body	320	valid
44.0ms	627×	body	160	valid