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

sample57.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

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: 22.9b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.9b	(+ (* x y) (* z (- t a)))
22.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite26.0ms

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

series118.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- b y))
7.0ms	(* z (- t a))
13.0ms	(+ (* x y) (* z (- t a)))
91.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify37.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5221	1306

prune169.0ms

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: 22.2b

Counts

105 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.3b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b	(+ (* x y) (* z (- t a)))
22.2b	(/ (+ 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 (- t a))
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 (- t a))
161.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms	(+ (* x y) (* z (- t a)))
67.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify70.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5104	3633

prune189.0ms

Filtered

112 candidates to 164 candidates (-46.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	164	12	176

Merged error: 22.2b

Counts

176 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y)))))
0.3b	(/ 1 (/ 1 (/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y))))))
0.9b	(+ (* y x) (* z (- t a)))
22.2b	(/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

528×	`times-frac`
255×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
68×	`associate-/r*`
60×	`add-exp-log`
43×	`div-exp`
40×	`associate-/r/`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `flip-+`
15×	`rec-exp` `1-exp`
10×	`cbrt-undiv`
9×	`associate-/l*`
7×	`pow1`
6×	`add-log-exp`
5×	`pow-flip`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`sub-neg` `associate-+r+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log` `remove-double-div`

Counts

4 → 371

Calls

4 calls:

9.0ms	(/ 1 (/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y)))))
19.0ms	(/ 1 (/ 1 (/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y))))))
4.0ms	(+ (* y x) (* z (- t a)))
8.0ms	(/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 1 (/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y)))))
152.0ms	(/ 1 (/ 1 (/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y))))))
13.0ms	(+ (* y x) (* z (- t a)))
156.0ms	(/ (+ (* y x) (* z (- t a))) (+ y (* z (- b y))))

simplify108.0ms

Algorithm

egg-herbie

Counts

383 → 383

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5013	11016

prune309.0ms

Filtered

193 candidates to 383 candidates (-98.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	382	1	383
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	383	12	395

Merged error: 22.2b

Counts

395 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (+ (* y x) (* z (- t a))))
0.8b	(/ 1 (+ y (* z (- b y))))
0.9b	(+ (* y x) (* z (- t a)))
21.3b	(/ (/ 1 (+ (* y x) (* z (- t a)))) (/ 1 (+ y (* z (- b y)))))

rewrite53.0ms

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 (+ (* y x) (* z (- t a))))
5.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* y x) (* z (- t a)))
18.0ms	(/ (/ 1 (+ (* y x) (* z (- t a)))) (/ 1 (+ y (* z (- b y)))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ 1 (+ (* y x) (* z (- t a))))
17.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* y x) (* z (- t a)))
52.0ms	(/ (/ 1 (+ (* y x) (* z (- t a)))) (/ 1 (+ y (* z (- b y)))))

simplify117.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5106	12255

prune317.0ms

Filtered

189 candidates to 378 candidates (-100.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	378	12	390

Merged error: 22.2b

Counts

390 → 12

regimes1.0s

Accuracy

0% (0.7b remaining)

Error of 23.4b against oracle of 22.7b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	21
1	40	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

350.0ms

8000×

body

valid

Details

analyze1.3s

sample57.0ms

simplify48.0ms

prune5.0ms

localize12.0ms

rewrite26.0ms

series118.0ms

simplify37.0ms

prune169.0ms

localize13.0ms

rewrite32.0ms

series248.0ms

simplify70.0ms

prune189.0ms

localize15.0ms

rewrite61.0ms

series370.0ms

simplify108.0ms

prune309.0ms

localize16.0ms

rewrite53.0ms

series103.0ms

simplify117.0ms

prune317.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling