Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
38.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series186.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
31.0ms	(/ 1.0 (- x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune163.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.1b	(pow (/ 1.0 (- x 1.0)) 3)

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
155×	`times-frac`
154×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod` `associate-l`
33×	`associate-r`
31×	`distribute-lft-out--`
27×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
22×	`difference-of-squares`
18×	`associate-/r/`
15×	`pow1`
11×	`distribute-lft-out`
9×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`pow-unpow` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`flip3-+` `flip-+`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `distribute-lft-in` `unpow3` `pow-prod-down` `associate-l/` `-commutative` `frac-sub` `sqr-pow`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 271

Calls

4 calls:

148.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
7.0ms	(pow (/ x (+ x 1.0)) 3)
30.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
8.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series264.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
57.0ms	(pow (/ x (+ x 1.0)) 3)
38.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
52.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify58.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1319	2229
1	5001	1978

prune606.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

200×	`*-un-lft-identity`
170×	`times-frac`
164×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
51×	`swap-sqr`
39×	`associate-r` `associate-l`
32×	`add-exp-log` `add-cbrt-cube`
26×	`distribute-lft-out--`
20×	`associate-/r/` `difference-of-squares`
18×	`pow1` `distribute-lft-out`
10×	`cbrt-undiv` `div-exp` `associate-/r*` `div-inv`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`flip3--` `flip--` `associate-/l*`
4×	`flip3-+` `flip-+` `add-log-exp`
2×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 259

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
28.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
33.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1.0 (- x 1.0))
27.0ms	(/ 1.0 (- x 1.0))
47.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
39.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify125.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	950	2044
1	4827	1826
2	5002	1800

prune505.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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	19	22
1	19	22

end0.0ms

sample271.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid