Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	63×	body	640	valid
3.0ms	135×	body	80	valid
2.0ms	41×	body	320	valid
1.0ms	17×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize5.0ms

Local error

Found 1 expressions with local error:

2.2b	(- (/ 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))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (13.0ms)

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

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

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))
1.4b	(- x (+ x 1.0))

rewrite67.0ms

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:

21.0ms	(* (+ x 1.0) x)
31.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
14.0ms	(- x (+ x 1.0))

series81.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (+ x 1.0) x)
33.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms	(- x (+ x 1.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (49.0ms)

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

prune110.0ms

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)

rewrite85.0ms

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:

52.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify75.0ms

Algorithm

egg-herbie

Counts

355 → 355

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1522	4526
1	5001	4374

prune647.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.2b	(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

323×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
118×	`add-cube-cbrt`
41×	`associate-/r*`
38×	`add-exp-log`
28×	`distribute-lft-out--` `difference-of-squares`
25×	`div-inv`
23×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv` `associate-/r/`
5×	`pow1`
4×	`rec-exp` `flip3--` `1-exp` `associate-l` `prod-exp` `flip--`
3×	`associate-r` `associate-/l*`
2×	`associate-*l/` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

2 → 217

Calls

2 calls:

19.0ms	(* (+ x 1.0) x)
36.0ms	(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (+ x 1.0) x)
37.0ms	(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	987	2478
1	5001	2152

prune319.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

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

sample433.0ms

Algorithm

intervals

Results

136.0ms	1935×	body	640	valid
86.0ms	4217×	body	80	valid
67.0ms	1223×	body	320	valid
23.0ms	626×	body	160	valid