Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	70×	body	640	valid
2.0ms	44×	body	320	valid
2.0ms	121×	body	80	valid
1.0ms	21×	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: 13.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

11.0ms	(/ 1.0 (+ x 1.0))
82.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1.0 (+ x 1.0))
55.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify99.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	873	6795
1	2645	4746
2	5001	3686

prune420.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

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

rewrite100.0ms

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:

20.0ms	(* (+ x 1.0) x)
54.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
22.0ms	(- x (+ x 1.0))

series89.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (+ x 1.0) x)
34.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms	(- x (+ x 1.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (60.0ms)

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

prune136.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 478

Calls

2 calls:

24.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
56.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series66.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
35.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

484 → 484

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1596	5690
1	5002	5510

prune879.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

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:

97.0ms	(* (cbrt (/ (+ x 1.0) (- 0 1.0))) (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)))
9.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))
120.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
121.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))
131.0ms	(cbrt (/ (+ x 1.0) (- 0 1.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	535	3240
1	2102	3154
2	5003	2966

prune613.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 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

sample419.0ms

Algorithm

intervals

Results

126.0ms	1912×	body	640	valid
81.0ms	4207×	body	80	valid
66.0ms	1267×	body	320	valid
24.0ms	617×	body	160	valid