Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	63×	body	640	valid
3.0ms	127×	body	80	valid
2.0ms	42×	body	320	valid
1.0ms	24×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
2.8b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite82.0ms

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))
52.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (+ x 1.0))
63.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify113.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 2 (62.0ms)

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

prune233.0ms

Filtered

320 candidates to 82 candidates (25.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

10.0ms	(* (+ x 1.0) x)
25.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
13.0ms	(- x (+ x 1.0))

series89.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (+ x 1.0) x)
39.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	402	611
1	2289	439
2	5001	426

prune147.0ms

Filtered

93 candidates to 59 candidates (63.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)

rewrite95.0ms

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:

14.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
38.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series61.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
37.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

484 → 484

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1596	5690
1	5002	5510

prune942.0ms

Filtered

484 candidates to 320 candidates (66.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x 1.0))
0.2b	(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 91

Calls

2 calls:

9.0ms	(* x (+ x 1.0))
10.0ms	(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* x (+ x 1.0))
41.0ms	(/ 1.0 (/ (* x (+ x 1.0)) (- 0 1.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	480	711
1	2725	638
2	5001	635

prune189.0ms

Filtered

97 candidates to 73 candidates (75.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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

sample405.0ms

Algorithm

intervals

Results

135.0ms	1889×	body	640	valid
85.0ms	4200×	body	80	valid
71.0ms	1269×	body	320	valid
24.0ms	643×	body	160	valid