Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	65×	body	640	valid
3.0ms	129×	body	80	valid
2.0ms	40×	body	320	valid
1.0ms	22×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
3.0b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
36.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (+ x 1.0))
27.0ms	(/ 1.0 (- x 1.0))
174.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify167.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	1200	13350
1	3593	9620
2	5001	9568

prune668.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
2.2b	(- (- x 1.0) (+ x 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
29×	`prod-diff`
20×	`add-cube-cbrt`
14×	`add-log-exp`
11×	`associate--l+` `distribute-lft-out--`
8×	`frac-sub` `difference-of-squares`
7×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out`
6×	`diff-log` `associate-*r/` `associate-/l/`
5×	`fma-neg`
4×	`flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `sum-log` `associate-/r/` `log1p-expm1-u`
1×	`associate--l-` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+`

Counts

2 → 97

Calls

2 calls:

20.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
11.0ms	(- (- x 1.0) (+ x 1.0))

series60.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	561	1035
1	3510	762
2	5001	760

prune187.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/r*`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `distribute-frac-neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

7.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	250	269
1	1247	227
2	5002	225

prune69.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ (- 2.0) (- x 1.0))
0.2b	(* (/ 1.0 (+ x 1.0)) (/ (- 2.0) (- x 1.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
129×	`add-sqr-sqrt`
128×	`times-frac`
75×	`add-cube-cbrt`
56×	`associate-r`
33×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
21×	`distribute-lft-out--` `difference-of-squares`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-l`
13×	`associate-/l*`
11×	`neg-mul-1`
9×	`associate-/r*`
8×	`associate-/r/`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `frac-2neg` `flip3-+` `distribute-frac-neg` `clear-num` `flip--` `flip-+`
1×	`neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-rgt-neg-out`

Counts

3 → 219

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
7.0ms	(/ (- 2.0) (- x 1.0))
34.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 2.0) (- x 1.0)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1.0 (+ x 1.0))
29.0ms	(/ (- 2.0) (- x 1.0))
70.0ms	(* (/ 1.0 (+ x 1.0)) (/ (- 2.0) (- x 1.0)))

simplify98.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	859	1597
1	4445	1497
2	5001	1495

prune394.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	18	6
2	19	6
3	19	6

end0.0ms

sample464.0ms

Algorithm

intervals

Results

161.0ms	1891×	body	640	valid
98.0ms	4199×	body	80	valid
78.0ms	1255×	body	320	valid
34.0ms	655×	body	160	valid