Details

sample16.0ms

Algorithm

intervals

Results

5.0ms

284×

body

valid

simplify262.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	39	3
3	50	3
4	72	3
5	120	3
6	267	3
7	446	3
8	643	3
9	806	3
10	1196	3
11	4606	3
12	5002	3

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (+ x y) (* x y))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (+ x y) (* x y))

simplify38.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	87	87
1	309	80
2	1324	80
3	5002	80

prune26.0ms

Filtered

17 candidates to 11 candidates (35.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
0.6b	(cbrt (- (+ x y) (* x y)))
0.6b	(cbrt (- (+ x y) (* x y)))
0.6b	(cbrt (- (+ x y) (* x y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
5.0ms	(cbrt (- (+ x y) (* x y)))
5.0ms	(cbrt (- (+ x y) (* x y)))
7.0ms	(cbrt (- (+ x y) (* x y)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (- (+ x y) (* x y))) (cbrt (- (+ x y) (* x y))))
87.0ms	(cbrt (- (+ x y) (* x y)))
88.0ms	(cbrt (- (+ x y) (* x y)))
89.0ms	(cbrt (- (+ x y) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	374	1246
1	1445	1172
2	5001	1109

prune406.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x y) 3)
3.2b	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
8.0b	(- (pow (+ x y) 3) (pow (* x y) 3))
37.5b	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
42×	`flip3-+` `flip-+`
40×	`associate-*r/` `difference-of-squares`
39×	`times-frac`
33×	`*-un-lft-identity`
32×	`frac-add`
31×	`sqr-pow`
23×	`add-cube-cbrt`
18×	`associate-/r/`
16×	`frac-times`
13×	`associate-/l*`
11×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-*l/` `add-log-exp`
7×	`pow1`
5×	`difference-cubes` `distribute-lft-out--`
3×	`pow-unpow` `associate-/r*`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `flip3--` `pow-pow` `distribute-lft-in` `pow-exp` `flip--` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv`

Counts

4 → 163

Calls

4 calls:

3.0ms	(pow (* x y) 3)
11.0ms	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
11.0ms	(- (pow (+ x y) 3) (pow (* x y) 3))
28.0ms	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(pow (* x y) 3)
46.0ms	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
97.0ms	(- (pow (+ x y) 3) (pow (* x y) 3))
142.0ms	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))

simplify151.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	902	3664
1	4881	3521
2	5002	3521

prune1.1s

Filtered

175 candidates to 125 candidates (28.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	174	4	178

Merged error: 0.0b

Counts

178 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

3.2b	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
26.9b	(sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))
26.9b	(sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))
27.0b	(/ (+ (* (+ x y) (+ (* x y) (+ x y))) (pow (* x y) 2)) (* (sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))) 1))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

85×	`flip3-+` `flip-+`
80×	`associate-*r/`
64×	`frac-add`
54×	`sqrt-div`
34×	`associate-*l/`
32×	`frac-times`
18×	`associate-/r/`
11×	`add-exp-log`
10×	`add-sqr-sqrt`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `sqrt-prod` `add-log-exp`
3×	`times-frac` `div-exp` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `rem-sqrt-square` `associate-+l+` `associate-+r+` `distribute-lft-in` `sqrt-pow1` `pow1/2` `prod-exp` `associate-/l/`
1×	`+-commutative` `frac-2neg` `1-exp` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `div-inv`

Counts

4 → 135

Calls

4 calls:

11.0ms	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
11.0ms	(sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))
11.0ms	(sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))
32.0ms	(/ (+ (* (+ x y) (+ (* x y) (+ x y))) (pow (* x y) 2)) (* (sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))) 1))

series339.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))
85.0ms	(sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))
88.0ms	(sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y))))
122.0ms	(/ (+ (* (+ x y) (+ (* x y) (+ x y))) (pow (* x y) 2)) (* (sqrt (+ (* (* x y) (+ (* x y) (+ x y))) (* (+ x y) (+ x y)))) 1))

simplify127.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	802	4055
1	4006	3896
2	5001	3887

prune1.3s

Filtered

147 candidates to 109 candidates (25.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	147	4	151

Merged error: 0.0b

Counts

151 → 4

regimes152.0ms

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	7	3
1	7	3

end0.0ms

sample405.0ms

Algorithm

intervals

Results

179.0ms	9189×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample16.0ms

simplify262.0ms

prune6.0ms

localize5.0ms

rewrite6.0ms

series19.0ms

simplify38.0ms

prune26.0ms

localize8.0ms

rewrite32.0ms

series384.0ms

simplify48.0ms

prune406.0ms

localize13.0ms

rewrite62.0ms

series346.0ms

simplify151.0ms

prune1.1s

localize19.0ms

rewrite74.0ms

series339.0ms

simplify127.0ms

prune1.3s

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample405.0ms

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