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

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5060	17

prune8.0ms

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: 20.7b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
20.0b	(/ (+ (* 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))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
7.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
88.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify41.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5221	1306

prune165.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	12	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	12	105

Merged error: 20.1b

Counts

105 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.7b	(+ (* x y) (* z (- t a)))
19.8b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite31.0ms

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))))

series248.0ms

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)))
68.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify63.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5290	3636

prune199.0ms

Filtered

112 candidates to 164 candidates (-46.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	163	13	176

Merged error: 20.1b

Counts

176 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
0.7b	(+ (* x y) (* z (- t a)))
19.6b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite30.0ms

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:

7.0ms	(* z (- b y))
5.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
17.0ms	(/ 1 (+ y (* z (- b y))))
15.0ms	(+ (* x y) (* z (- t a)))
90.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune149.0ms

Filtered

77 candidates to 124 candidates (-61.0%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	124	13	137

Merged error: 20.1b

Counts

137 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.7b	(+ (* x y) (* z (- t a)))
1.6b	(+ (* z b) (* y (neg z)))
20.0b	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* y (neg z)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

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

series114.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(+ (* z b) (* y (neg z)))
88.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (+ (* z b) (* y (neg z)))))

simplify26.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5109	1350

prune74.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	96	13	109

Merged error: 20.1b

Counts

109 → 13

regimes1.0s

Accuracy

0% (0.7b remaining)

Error of 23.0b against oracle of 22.3b and baseline of 23.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms

sample762.0ms

Algorithm

intervals

Results

433.0ms	8000×	body	80	valid
21.0ms	402×	body	80	invalid

Details

analyze1.3s

sample27.0ms

simplify49.0ms

prune8.0ms

localize12.0ms

rewrite25.0ms

series115.0ms

simplify41.0ms

prune165.0ms

localize15.0ms

rewrite31.0ms

series248.0ms

simplify63.0ms

prune199.0ms

localize15.0ms

rewrite30.0ms

series128.0ms

simplify52.0ms

prune149.0ms

localize16.0ms

rewrite25.0ms

series114.0ms

simplify26.0ms

prune74.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample762.0ms

Profiling