Details

analyze638.0ms

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample26.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	110×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5383	13

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.3b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (* (+ x z) (/ (- z x) y)))
0.0b	(/ (- z x) y)
0.2b	(/ (- y (* (+ x z) (/ (- z x) y))) 2.0)
0.3b	(* (+ x z) (/ (- z x) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
40×	`times-frac`
32×	`add-cube-cbrt`
19×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-l` `associate-/l/`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `div-inv`
2×	`frac-times` `frac-2neg` `flip3-+` `div-sub` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`sub-neg` `diff-log` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

2.0ms	(- y (* (+ x z) (/ (- z x) y)))
5.0ms	(/ (- z x) y)
5.0ms	(/ (- y (* (+ x z) (/ (- z x) y))) 2.0)
11.0ms	(* (+ x z) (/ (- z x) y))

series44.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- y (* (+ x z) (/ (- z x) y)))
6.0ms	(/ (- z x) y)
14.0ms	(/ (- y (* (+ x z) (/ (- z x) y))) 2.0)
11.0ms	(* (+ x z) (/ (- z x) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5037	1732

prune147.0ms

Filtered

98 candidates to 134 candidates (-36.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	126	8	134
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Merged error: 0.0b

Counts

136 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y 2.0) (* (/ (- z x) y) (/ (+ x z) 2.0)))
0.0b	(/ (- z x) y)
0.3b	(* (/ (- z x) y) (/ (+ x z) 2.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
46×	`times-frac`
30×	`add-cube-cbrt`
19×	`associate-l`
17×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-r/` `associate-/r` `frac-sub` `div-inv` `distribute-lft-out`
2×	`frac-times` `flip3--` `associate-*l/` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `clear-num` `*-commutative` `sub-div`

Counts

3 → 112

Calls

3 calls:

6.0ms	(- (/ y 2.0) (* (/ (- z x) y) (/ (+ x z) 2.0)))
5.0ms	(/ (- z x) y)
15.0ms	(* (/ (- z x) y) (/ (+ x z) 2.0))

series34.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (/ y 2.0) (* (/ (- z x) y) (/ (+ x z) 2.0)))
6.0ms	(/ (- z x) y)
13.0ms	(* (/ (- z x) y) (/ (+ x z) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5023	1532

prune125.0ms

Filtered

88 candidates to 121 candidates (-37.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (* (+ x z) (* (- z x) (/ 1 y))))
0.2b	(/ (- y (* (+ x z) (* (- z x) (/ 1 y)))) 2.0)
0.2b	(* (- z x) (/ 1 y))
0.3b	(* (+ x z) (* (- z x) (/ 1 y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-sqr-sqrt`
26×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`frac-times` `times-frac` `add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
11×	`pow1`
10×	`flip3--` `associate-r/` `associate-l/` `flip--`
9×	`associate-l`
7×	`flip3-+` `cbrt-unprod` `flip-+`
6×	`add-log-exp`
5×	`div-exp`
4×	`pow-prod-down` `un-div-inv`
3×	`cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

3.0ms	(- y (* (+ x z) (* (- z x) (/ 1 y))))
5.0ms	(/ (- y (* (+ x z) (* (- z x) (/ 1 y)))) 2.0)
9.0ms	(* (- z x) (/ 1 y))
12.0ms	(* (+ x z) (* (- z x) (/ 1 y)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- y (* (+ x z) (* (- z x) (/ 1 y))))
14.0ms	(/ (- y (* (+ x z) (* (- z x) (/ 1 y)))) 2.0)
6.0ms	(* (- z x) (/ 1 y))
13.0ms	(* (+ x z) (* (- z x) (/ 1 y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5184	1850

prune135.0ms

Filtered

95 candidates to 138 candidates (-45.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	138	8	146

Merged error: 0.0b

Counts

146 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z x) y)
0.2b	(/ 1 (/ 2.0 (- y (* (+ x z) (/ (- z x) y)))))
0.3b	(* (+ x z) (/ (- z x) y))
0.4b	(/ 2.0 (- y (* (+ x z) (/ (- z x) y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
95×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
76×	`add-cube-cbrt`
24×	`add-exp-log`
21×	`associate-/r*`
19×	`associate-r`
18×	`add-cbrt-cube`
11×	`associate-/r/` `associate-/l*`
10×	`div-exp`
8×	`div-inv`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `flip3--` `flip--`
4×	`associate-l` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out` `inv-pow`

Counts

4 → 194

Calls

4 calls:

5.0ms	(/ (- z x) y)
7.0ms	(/ 1 (/ 2.0 (- y (* (+ x z) (/ (- z x) y)))))
11.0ms	(* (+ x z) (/ (- z x) y))
4.0ms	(/ 2.0 (- y (* (+ x z) (/ (- z x) y))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- z x) y)
17.0ms	(/ 1 (/ 2.0 (- y (* (+ x z) (/ (- z x) y)))))
10.0ms	(* (+ x z) (/ (- z x) y))
14.0ms	(/ 2.0 (- y (* (+ x z) (/ (- z x) y))))

simplify69.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	6029	3539

prune178.0ms

Filtered

138 candidates to 206 candidates (-49.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	205	9	214

Merged error: 0.0b

Counts

214 → 9

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	13	15

end0.0ms

analyze637.0ms

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample686.0ms

Algorithm

intervals

Results

350.0ms	8000×	body	80	valid
119.0ms	2827×	body	80	invalid

Details

analyze638.0ms

sample26.0ms

simplify45.0ms

prune12.0ms

localize8.0ms

rewrite27.0ms

series44.0ms

simplify43.0ms

prune147.0ms

localize9.0ms

rewrite29.0ms

series34.0ms

simplify40.0ms

prune125.0ms

localize9.0ms

rewrite33.0ms

series44.0ms

simplify30.0ms

prune135.0ms

localize9.0ms

rewrite35.0ms

series46.0ms

simplify69.0ms

prune178.0ms

regimes197.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze637.0ms

sample686.0ms

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