Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	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

localize8.0ms

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))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
8×	`distribute-lft-out--`
7×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`div-inv` `associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `flip-+`

Counts

2 → 58

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
37.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify150.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	266	392
1	898	369
2	4185	367
3	5001	367

prune281.0ms

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))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

14.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

series5.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	322	315
1	1765	251
2	5001	242

prune196.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

rewrite94.0ms

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` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 474

Calls

2 calls:

13.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
36.0ms	(/ (/ 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)

simplify81.0ms

Algorithm

egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1582	5673
1	5001	5480

prune2.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (* 1.0 (cbrt (pow (- 0 1.0) 3))) (* (+ x 1.0) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

12.0ms

(/ (* 1.0 (cbrt (pow (- 0 1.0) 3))) (* (+ x 1.0) x))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (* 1.0 (cbrt (pow (- 0 1.0) 3))) (* (+ x 1.0) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	290	250
1	1757	191
2	5001	179

prune109.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

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

sample658.0ms

Algorithm

intervals

Results

254.0ms	1954×	body	640	valid
142.0ms	4102×	body	80	valid
127.0ms	1301×	body	320	valid
42.0ms	643×	body	160	valid