Details

sample15.0ms

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

prune2.0ms

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

rewrite36.0ms

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))
23.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series192.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ x (+ x 1.0))
122.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
32.0ms	(/ 1.0 (- x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (32.0ms)

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

prune166.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)) (/ x (+ x 1.0)))
0.0b	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

204×	`*-un-lft-identity`
167×	`times-frac`
158×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
51×	`swap-sqr`
39×	`associate-r` `associate-l`
30×	`add-exp-log` `add-cbrt-cube`
29×	`distribute-lft-out--`
20×	`distribute-lft-out` `difference-of-squares`
18×	`pow1` `associate-/r/`
9×	`cbrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `frac-sub`

Counts

4 → 244

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
24.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
17.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
23.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
93.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
48.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
39.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1047	1994
1	5001	1826

prune480.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
104×	`times-frac`
94×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
39×	`associate-r`
24×	`swap-sqr`
23×	`add-exp-log` `add-cbrt-cube`
22×	`associate-l`
21×	`distribute-lft-out`
13×	`pow1`
12×	`associate-/r/`
11×	`difference-of-squares`
10×	`distribute-lft-out--`
6×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
4×	`associate-/r*`
3×	`frac-times` `flip3--` `associate-l/` `flip--` `associate-/l`
2×	`associate-r/` `pow-prod-down` `-commutative`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `frac-sub`

Counts

4 → 188

Calls

4 calls:

28.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
17.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms	(* (+ x 1.0) (/ 1.0 (- x 1.0)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
48.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
48.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
49.0ms	(* (+ x 1.0) (/ 1.0 (- x 1.0)))

simplify119.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	909	1518
1	4970	1379
2	5002	1379

prune468.0ms

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	21
1	19	21

end0.0ms

sample281.0ms

Algorithm

intervals

Results

191.0ms

8000×

body

valid