Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	69×	body	640	valid
2.0ms	127×	body	80	valid
2.0ms	41×	body	320	valid
1.0ms	19×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
8×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`distribute-lft-out` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 25

Calls

1 calls:

59.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify64.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	171	219
1	443	205
2	1990	203
3	5001	203

prune53.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

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))
2.2b	(- x (+ x 1.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`associate-r`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out` `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 → 63

Calls

3 calls:

19.0ms	(* (+ x 1.0) x)
33.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
14.0ms	(- x (+ x 1.0))

series78.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (+ x 1.0) x)
34.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms	(- x (+ x 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	345	395
1	2045	325
2	5003	316

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

801×	`times-frac`
529×	`*-un-lft-identity`
409×	`add-sqr-sqrt`
313×	`add-cube-cbrt`
83×	`associate-/l*`
60×	`distribute-lft-out`
48×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r/`
17×	`div-inv`
12×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
3×	`associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 352

Calls

1 calls:

50.0ms

(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

355 → 355

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1522	4526
1	5001	4374

prune632.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ x 1.0) (- 0 1.0)))
0.3b	(cbrt (/ (+ x 1.0) (- 0 1.0)))
0.3b	(cbrt (/ (+ x 1.0) (- 0 1.0)))
0.3b	(* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 244

Calls

4 calls:

8.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
8.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
9.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
88.0ms	(* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
112.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
117.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
146.0ms	(* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))

simplify89.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	520	3194
1	2012	3110
2	5001	2910

prune614.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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

sample418.0ms

Algorithm

intervals

Results

134.0ms	1947×	body	640	valid
79.0ms	4136×	body	80	valid
66.0ms	1265×	body	320	valid
22.0ms	653×	body	160	valid