Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	60×	body	640	valid
5.0ms	135×	body	80	valid
4.0ms	40×	body	320	valid
1.0ms	21×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.5b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite76.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
49.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series7.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify104.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	873	6795
1	2645	4746
2	5001	3686

prune572.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.5b	(- x (+ x 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
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×	`pow1` `expm1-log1p-u` `flip3--` `diff-log` `associate-r/` `associate-l/` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `flip3-+` `times-frac` `clear-num` `associate-/r` `sum-log` `flip-+` `div-inv` `associate-/l` `associate--r+` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

24.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms	(- x (+ x 1.0))

series4.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.0ms	(- x (+ x 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	382	525
1	2185	359
2	5001	347

prune256.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 478

Calls

2 calls:

13.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
33.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
4.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify87.0ms

Algorithm

egg-herbie

Counts

484 → 484

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1596	5690
1	5002	5510

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

15.0ms

(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/ (* 1.0 (log (/ 1 (exp 1.0)))) (* (+ x 1.0) x))

simplify37.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	273	330
1	1562	219
2	5001	199

prune121.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample712.0ms

Algorithm

intervals

Results

273.0ms	1954×	body	640	valid
151.0ms	4102×	body	80	valid
141.0ms	1301×	body	320	valid
47.0ms	643×	body	160	valid