Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

295×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	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 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (+ (* x y) x) y)
5.0ms	(+ (* x y) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune30.0ms

Filtered

21 candidates to 31 candidates (-47.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(sqrt (+ (* x y) x))
0.0b	(sqrt (+ (* x y) x))
0.2b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x y) x)
4.0ms	(sqrt (+ (* x y) x))
4.0ms	(sqrt (+ (* x y) x))
13.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x y) x)
7.0ms	(sqrt (+ (* x y) x))
9.0ms	(sqrt (+ (* x y) x))
5.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	213	598
1	836	548
2	5001	532

prune78.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x y) 3)
2.1b	(+ (pow (* x y) 3) (pow x 3))
2.7b	(* x (+ (* y (* x y)) (- x (* x y))))
38.0b	(/ (+ (pow (* x y) 3) (pow x 3)) (* x (+ (* y (* x y)) (- x (* x y)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`pow1` `add-cube-cbrt`
6×	`add-log-exp`
5×	`times-frac` `associate-/l*`
4×	`flip3-+` `associate-*r/` `flip-+`
3×	`pow-unpow` `associate-r` `associate-l` `prod-exp` `sum-cubes` `cbrt-unprod` `distribute-lft-out`
2×	`cbrt-undiv` `pow-pow` `div-exp` `pow-prod-down` `pow-exp` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `unpow3` `cube-prod` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 86

Calls

4 calls:

4.0ms	(pow (* x y) 3)
8.0ms	(+ (pow (* x y) 3) (pow x 3))
8.0ms	(* x (+ (* y (* x y)) (- x (* x y))))
18.0ms	(/ (+ (pow (* x y) 3) (pow x 3)) (* x (+ (* y (* x y)) (- x (* x y)))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(pow (* x y) 3)
18.0ms	(+ (pow (* x y) 3) (pow x 3))
11.0ms	(* x (+ (* y (* x y)) (- x (* x y))))
34.0ms	(/ (+ (pow (* x y) 3) (pow x 3)) (* x (+ (* y (* x y)) (- x (* x y)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	372	817
1	2091	702
2	5001	700

prune124.0ms

Filtered

64 candidates to 98 candidates (-53.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

19.7b	(/ (* (cbrt (+ (pow (* x y) 3) (pow x 3))) (cbrt (+ (pow (* x y) 3) (pow x 3)))) x)
36.9b	(cbrt (+ (pow (* x y) 3) (pow x 3)))
36.9b	(cbrt (+ (pow (* x y) 3) (pow x 3)))
36.9b	(cbrt (+ (pow (* x y) 3) (pow x 3)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`cbrt-prod` `*-un-lft-identity`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-/l/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*` `sum-cubes` `distribute-lft-out`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 74

Calls

4 calls:

20.0ms	(/ (* (cbrt (+ (pow (* x y) 3) (pow x 3))) (cbrt (+ (pow (* x y) 3) (pow x 3)))) x)
10.0ms	(cbrt (+ (pow (* x y) 3) (pow x 3)))
8.0ms	(cbrt (+ (pow (* x y) 3) (pow x 3)))
8.0ms	(cbrt (+ (pow (* x y) 3) (pow x 3)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* (cbrt (+ (pow (* x y) 3) (pow x 3))) (cbrt (+ (pow (* x y) 3) (pow x 3)))) x)
27.0ms	(cbrt (+ (pow (* x y) 3) (pow x 3)))
24.0ms	(cbrt (+ (pow (* x y) 3) (pow x 3)))
25.0ms	(cbrt (+ (pow (* x y) 3) (pow x 3)))

simplify41.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	322	1007
1	1091	925
2	5002	876

prune318.0ms

Filtered

75 candidates to 86 candidates (-14.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes121.0ms

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	3
1	8	3

end0.0ms

sample389.0ms

Algorithm

intervals

Results

178.0ms	9129×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample15.0ms

simplify115.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify54.0ms

prune30.0ms

localize7.0ms

rewrite26.0ms

series26.0ms

simplify38.0ms

prune78.0ms

localize13.0ms

rewrite40.0ms

series70.0ms

simplify72.0ms

prune124.0ms

localize19.0ms

rewrite48.0ms

series107.0ms

simplify41.0ms

prune318.0ms

regimes121.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample389.0ms

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