Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	54×	body	640	valid
7.0ms	141×	body	80	valid
7.0ms	48×	body	320	valid
1.0ms	13×	body	160	valid

simplify6.0ms

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: 14.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite122.0ms

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))
68.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (+ x 1.0))
33.0ms	(/ 1.0 (- x 1.0))
177.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify168.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 2 (71.0ms)

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

prune676.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.2b	(- (- x 1.0) (+ x 1.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
30×	`prod-diff`
21×	`add-cube-cbrt`
17×	`add-log-exp`
11×	`associate--l+` `distribute-lft-out--`
9×	`difference-of-squares`
8×	`add-exp-log` `flip3--` `frac-sub` `add-cbrt-cube` `flip--`
7×	`diff-log` `distribute-lft-out`
6×	`fma-neg` `associate-*r/` `associate-/l/`
4×	`flip3-+` `times-frac` `associate-/r*` `flip-+`
3×	`pow1` `expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `sum-log` `associate-/r/`
1×	`associate--l-` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+`

Counts

3 → 114

Calls

3 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
57.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
29.0ms	(- (- x 1.0) (+ x 1.0))

series101.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* x x) (* 1.0 1.0))
55.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	593	1128
1	3665	844
2	5001	841

prune234.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.5b	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
7.0ms	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x x) (* 1.0 1.0))
57.0ms	(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	285	362
1	1384	309
2	5002	306

prune107.0ms

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	(/ (* 1.0 (- 2.0)) (+ x 1.0))
0.1b	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
16×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/r*`
8×	`div-inv` `distribute-lft-out`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`distribute-frac-neg`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `distribute-rgt-neg-out` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 115

Calls

2 calls:

7.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
15.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series98.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (* 1.0 (- 2.0)) (+ x 1.0))
72.0ms	(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	586	1138
1	3057	1058
2	5001	1058

prune224.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	19	6
2	22	6
3	22	6

end0.0ms

sample936.0ms

Algorithm

intervals

Results

360.0ms	1871×	body	640	valid
226.0ms	4247×	body	80	valid
190.0ms	1272×	body	320	valid
59.0ms	610×	body	160	valid