Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (- x 1.0))
32.0ms	(/ x (+ x 1.0))
121.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	400	551
1	1470	525
2	5001	521

prune234.0ms

Filtered

123 candidates to 94 candidates (76.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
67×	`times-frac`
39×	`distribute-lft-out`
34×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`fma-def`
16×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*` `difference-of-squares`
2×	`cube-mult` `unpow3` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

5.0ms	(/ x (+ x 1.0))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
25.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series466.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ x (+ x 1.0))
122.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
135.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
176.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify59.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	470	1012
1	1987	962
2	5001	956

prune314.0ms

Filtered

161 candidates to 100 candidates (62.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
18.2b	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity`
3×	`flip3--` `flip3-+` `times-frac` `flip--` `flip-+` `associate-/l*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `associate-l/` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

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

series385.0ms

Counts

2 → 6

Calls

2 calls:

270.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
115.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	269	448
1	1268	384
2	5001	384

prune107.0ms

Filtered

47 candidates to 39 candidates (83.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample282.0ms

Algorithm

intervals

Results

189.0ms

8000×

body

valid