Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5060	17

prune5.0ms

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: 23.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.3b	(+ (* x y) (* z (- t a)))
22.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(* z (- t a))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
7.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
90.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5221	1306

prune190.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	89	15	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	15	105

Merged error: 22.4b

Counts

105 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.3b	(+ (* x y) (* z (- t a)))
22.0b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `sub-neg`
3×	`associate-l`
2×	`distribute-rgt-in` `rec-exp` `associate-+r+` `frac-2neg` `distribute-lft-in` `1-exp` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

6.0ms	(* z (- b y))
9.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
160.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
66.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify53.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5290	3636

prune197.0ms

Filtered

112 candidates to 164 candidates (-46.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	165	14	179

Merged error: 22.3b

Counts

179 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(/ 1 (+ y (* z (- b y))))
1.3b	(+ (* x y) (* z (- t a)))
22.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`sub-neg` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `associate-+r+` `distribute-lft-in` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* z (- b y))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series124.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
18.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
87.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune153.0ms

Filtered

79 candidates to 124 candidates (-57.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	124	14	138

Merged error: 22.3b

Counts

138 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (+ (* x y) (* z (- t a))))
0.3b	(/ 1 (+ y (* z (- b y))))
1.3b	(+ (* x y) (* z (- t a)))
22.0b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`sub-neg` `associate-+r+` `pow-flip` `inv-pow`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log` `associate-/l/`

Counts

4 → 366

Calls

4 calls:

5.0ms	(/ 1 (+ (* x y) (* z (- t a))))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
16.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 1 (+ (* x y) (* z (- t a))))
16.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
158.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify112.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5058	12251

prune304.0ms

Filtered

193 candidates to 378 candidates (-95.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	378	14	392

Merged error: 22.3b

Counts

392 → 14

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.8b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms

sample742.0ms

Algorithm

intervals

Results

423.0ms	8000×	body	80	valid
23.0ms	445×	body	80	invalid

Details

analyze1.3s

sample28.0ms

simplify49.0ms

prune5.0ms

localize12.0ms

rewrite25.0ms

series116.0ms

simplify38.0ms

prune190.0ms

localize17.0ms

rewrite32.0ms

series246.0ms

simplify53.0ms

prune197.0ms

localize14.0ms

rewrite28.0ms

series124.0ms

simplify51.0ms

prune153.0ms

localize17.0ms

rewrite49.0ms

series207.0ms

simplify112.0ms

prune304.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample742.0ms

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