Details

analyze73.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	255	7
1	255	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

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 → 13

Calls

1 calls:

6.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5149	164

prune28.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

14.0ms	(* (cbrt (+ x (- y (* x y)))) (cbrt (+ x (- y (* x y)))))
5.0ms	(cbrt (+ x (- y (* x y))))
4.0ms	(cbrt (+ x (- y (* x y))))
4.0ms	(cbrt (+ x (- y (* x y))))

series86.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (+ x (- y (* x y)))) (cbrt (+ x (- y (* x y)))))
18.0ms	(cbrt (+ x (- y (* x y))))
19.0ms	(cbrt (+ x (- y (* x y))))
18.0ms	(cbrt (+ x (- y (* x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5142	1791

prune127.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0.0b

Counts

111 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

3.2b	(+ (* (+ x y) (+ x y)) (* x (* y (+ x (+ y (* x y))))))
4.6b	(* x (* y (+ x (+ y (* x y)))))
8.2b	(- (pow (+ x y) 3) (pow (* x y) 3))
40.9b	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (+ x y) (+ x y)) (* x (* y (+ x (+ y (* x y)))))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 166

Calls

4 calls:

11.0ms	(+ (* (+ x y) (+ x y)) (* x (* y (+ x (+ y (* x y))))))
8.0ms	(* x (* y (+ x (+ y (* x y)))))
14.0ms	(- (pow (+ x y) 3) (pow (* x y) 3))
27.0ms	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (+ x y) (+ x y)) (* x (* y (+ x (+ y (* x y)))))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* (+ x y) (+ x y)) (* x (* y (+ x (+ y (* x y))))))
7.0ms	(* x (* y (+ x (+ y (* x y)))))
21.0ms	(- (pow (+ x y) 3) (pow (* x y) 3))
35.0ms	(/ (- (pow (+ x y) 3) (pow (* x y) 3)) (+ (* (+ x y) (+ x y)) (* x (* y (+ x (+ y (* x y)))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5229	7161

prune311.0ms

Filtered

129 candidates to 178 candidates (-38.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	178	4	182

Merged error: 0.0b

Counts

182 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (* x y))
0.0b	(+ x (- y (* x y)))
0.0b	(pow (+ x (- y (* x y))) 3)
39.9b	(cbrt (pow (+ x (- y (* x y))) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
14×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `sub-neg` `cbrt-div` `diff-log` `unpow3` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `associate-+r+` `flip3--` `distribute-rgt-out--` `pow-pow` `pow1/3` `pow-exp` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 79

Calls

4 calls:

3.0ms	(- y (* x y))
5.0ms	(+ x (- y (* x y)))
5.0ms	(pow (+ x (- y (* x y))) 3)
6.0ms	(cbrt (pow (+ x (- y (* x y))) 3))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- y (* x y))
4.0ms	(+ x (- y (* x y)))
9.0ms	(pow (+ x (- y (* x y))) 3)
5.0ms	(cbrt (pow (+ x (- y (* x y))) 3))

simplify31.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5049	994

prune96.0ms

Filtered

53 candidates to 91 candidates (-71.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	7
1	60	7

end0.0ms

sample329.0ms

Algorithm

intervals

Results

189.0ms	7999×	body	80	valid
2.0ms	78×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze73.0ms

sample14.0ms

simplify10.0ms

prune9.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify33.0ms

prune28.0ms

localize9.0ms

rewrite31.0ms

series86.0ms

simplify54.0ms

prune127.0ms

localize16.0ms

rewrite69.0ms

series77.0ms

simplify57.0ms

prune311.0ms

localize8.0ms

rewrite21.0ms

series23.0ms

simplify31.0ms

prune96.0ms

regimes127.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample329.0ms

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