Details

sample20.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (+ x y) (- x y))

simplify41.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1421	270
3	5001	270

prune46.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Merged error: 0b

Counts

49 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (+ x y) (- x y))))
0.0b	(/ (+ x y) (- x y))
0.0b	(exp (/ (+ x y) (- x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

9.0ms	(log (exp (/ (+ x y) (- x y))))
10.0ms	(/ (+ x y) (- x y))
9.0ms	(exp (/ (+ x y) (- x y)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(log (exp (/ (+ x y) (- x y))))
8.0ms	(/ (+ x y) (- x y))
12.0ms	(exp (/ (+ x y) (- x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	235	660
1	607	623
2	1640	614
3	5002	611

prune107.0ms

Filtered

85 candidates to 126 candidates (-48.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Merged error: 0b

Counts

128 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ x y)) (- (sqrt x) (sqrt y)))
0.0b	(* (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))))
0.0b	(/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))
0.0b	(- (sqrt x) (sqrt y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

280×	`*-un-lft-identity`
254×	`add-sqr-sqrt`
252×	`sqrt-prod`
208×	`times-frac`
96×	`add-cube-cbrt`
69×	`associate-r`
64×	`difference-of-squares`
60×	`distribute-lft-out`
41×	`associate-l`
32×	`distribute-lft-out--`
20×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/r` `associate-/l`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`flip3-+` `sqrt-div` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/`
3×	`flip3--` `flip--`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 315

Calls

4 calls:

14.0ms	(/ (sqrt (+ x y)) (- (sqrt x) (sqrt y)))
61.0ms	(* (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))))
10.0ms	(/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))
6.0ms	(- (sqrt x) (sqrt y))

series190.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (sqrt (+ x y)) (- (sqrt x) (sqrt y)))
49.0ms	(* (/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) (/ (sqrt (+ x y)) (- (sqrt x) (sqrt y))))
29.0ms	(/ (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))
8.0ms	(- (sqrt x) (sqrt y))

simplify112.0ms

Algorithm

egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	806	4171
1	3711	3851
2	5001	3697

prune182.0ms

Filtered

153 candidates to 327 candidates (-113.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	327	0	327
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	327	2	329

Merged error: 0b

Counts

329 → 2

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

end0.0ms

sample363.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid

Details

sample20.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify41.0ms

prune46.0ms

localize8.0ms

rewrite33.0ms

series28.0ms

simplify49.0ms

prune107.0ms

localize11.0ms

rewrite108.0ms

series190.0ms

simplify112.0ms

prune182.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample363.0ms

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