Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	69×	body	640	valid
3.0ms	127×	body	80	valid
3.0ms	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

346×	`times-frac`
344×	`*-un-lft-identity`
255×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
234×	`prod-diff`
45×	`distribute-lft-out`
34×	`div-inv`
28×	`associate-/r/`
18×	`fma-neg`
14×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 279

Calls

1 calls:

79.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify100.0ms

Algorithm

egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	818	6616
1	2263	4577
2	5001	3571

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

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))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`add-cube-cbrt`
12×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `diff-log` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/` `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 → 84

Calls

3 calls:

21.0ms	(* (+ x 1.0) x)
53.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
19.0ms	(- x (+ x 1.0))

series85.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (+ x 1.0) x)
32.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	402	611
1	2289	439
2	5001	426

prune147.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 354

Calls

1 calls:

55.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

357 → 357

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1530	4509
1	5001	4354

prune714.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))))

rewrite140.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 252

Calls

4 calls:

9.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
9.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
9.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
94.0ms	(* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
122.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
127.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
159.0ms	(* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))

simplify88.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	535	3258
1	2102	3172
2	5001	2984

prune681.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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

sample465.0ms

Algorithm

intervals

Results

150.0ms	1947×	body	640	valid
91.0ms	4136×	body	80	valid
75.0ms	1265×	body	320	valid
25.0ms	653×	body	160	valid