Details

analyze293.0ms

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune3.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

4.0ms	(+ (* x y) (* (- 1.0 x) z))
6.0ms	(* (- 1.0 x) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x y) (* (- 1.0 x) z))
5.0ms	(* (- 1.0 x) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5197	345

prune49.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.1b	(sqrt (+ (* (- 1.0 x) z) (* x y)))
0.1b	(sqrt (+ (* (- 1.0 x) z) (* x y)))
0.3b	(* (sqrt (+ (* (- 1.0 x) z) (* x y))) (sqrt (+ (* (- 1.0 x) z) (* x y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

6.0ms	(* (- 1.0 x) z)
6.0ms	(sqrt (+ (* (- 1.0 x) z) (* x y)))
6.0ms	(sqrt (+ (* (- 1.0 x) z) (* x y)))
20.0ms	(* (sqrt (+ (* (- 1.0 x) z) (* x y))) (sqrt (+ (* (- 1.0 x) z) (* x y))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 x) z)
24.0ms	(sqrt (+ (* (- 1.0 x) z) (* x y)))
24.0ms	(sqrt (+ (* (- 1.0 x) z) (* x y)))
8.0ms	(* (sqrt (+ (* (- 1.0 x) z) (* x y))) (sqrt (+ (* (- 1.0 x) z) (* x y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5380	1595

prune142.0ms

Filtered

72 candidates to 121 candidates (-68.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))) 5) (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))))
0.3b	(cbrt (sqrt (+ (* (- 1.0 x) z) (* x y))))
0.3b	(cbrt (sqrt (+ (* (- 1.0 x) z) (* x y))))
0.5b	(pow (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))) 5)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-prod` `add-sqr-sqrt`
27×	`unpow-prod-down`
23×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unswap-sqr`
13×	`associate-l`
10×	`add-exp-log`
9×	`associate-r`
6×	`pow1` `cbrt-div` `sqrt-div`
5×	`add-cbrt-cube` `sqr-pow`
4×	`add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/3` `prod-exp` `flip-+`
2×	`pow-to-exp` `pow-pow` `associate-*r/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* (pow (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))) 5) (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))))
7.0ms	(cbrt (sqrt (+ (* (- 1.0 x) z) (* x y))))
7.0ms	(cbrt (sqrt (+ (* (- 1.0 x) z) (* x y))))
9.0ms	(pow (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))) 5)

series169.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (pow (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))) 5) (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))))
38.0ms	(cbrt (sqrt (+ (* (- 1.0 x) z) (* x y))))
37.0ms	(cbrt (sqrt (+ (* (- 1.0 x) z) (* x y))))
86.0ms	(pow (cbrt (sqrt (+ (* (- 1.0 x) z) (* x y)))) 5)

simplify63.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	2504
1	4944	2504

prune242.0ms

Filtered

86 candidates to 121 candidates (-40.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0b

Counts

125 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* z (- (sqrt 1.0) (sqrt x)))))
0.0b	(* z (- (sqrt 1.0) (sqrt x)))
0.1b	(* (+ (sqrt 1.0) (sqrt x)) (* z (- (sqrt 1.0) (sqrt x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`pow1` `add-exp-log` `sub-neg` `associate-r/` `associate-r*` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-l` `sqrt-prod`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`frac-times` `associate-+r+` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares`
2×	`associate-l/` `-commutative` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

5.0ms	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* z (- (sqrt 1.0) (sqrt x)))))
8.0ms	(* z (- (sqrt 1.0) (sqrt x)))
14.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* z (- (sqrt 1.0) (sqrt x))))

series51.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* z (- (sqrt 1.0) (sqrt x)))))
8.0ms	(* z (- (sqrt 1.0) (sqrt x)))
27.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* z (- (sqrt 1.0) (sqrt x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5012	985

prune103.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes191.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample426.0ms

Algorithm

intervals

Results

225.0ms	8000×	body	80	valid
19.0ms	690×	body	80	invalid

Details

analyze293.0ms

sample16.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify43.0ms

prune49.0ms

localize9.0ms

rewrite42.0ms

series60.0ms

simplify43.0ms

prune142.0ms

localize14.0ms

rewrite47.0ms

series169.0ms

simplify63.0ms

prune242.0ms

localize10.0ms

rewrite30.0ms

series51.0ms

simplify40.0ms

prune103.0ms

regimes191.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample426.0ms

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