Details

analyze434.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample23.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify177.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	6149	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.2b	(/ x (* (- y z) (- y t)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
8.0ms	(/ x (* (- y z) (- y t)))

series24.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (- y z) (- y t))
18.0ms	(/ x (* (- y z) (- y t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5083	731

prune113.0ms

Filtered

51 candidates to 67 candidates (-31.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	6	68

Merged error: 0b

Counts

68 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.8b	(* (- y z) (/ (- y t) (cbrt x)))
4.8b	(/ (* (cbrt x) (cbrt x)) (* (- y z) (/ (- y t) (cbrt x))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
34×	`associate-r`
33×	`times-frac`
30×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r/`
4×	`frac-times` `flip3--` `associate-*l/` `flip--` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-*r/` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l*`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(* (- y z) (/ (- y t) (cbrt x)))
15.0ms	(/ (* (cbrt x) (cbrt x)) (* (- y z) (/ (- y t) (cbrt x))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
21.0ms	(cbrt x)
35.0ms	(* (- y z) (/ (- y t) (cbrt x)))
24.0ms	(/ (* (cbrt x) (cbrt x)) (* (- y z) (/ (- y t) (cbrt x))))

simplify77.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4943	1280
1	4943	1280

prune136.0ms

Filtered

83 candidates to 124 candidates (-49.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 0b

Counts

130 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
1.4b	(/ 1 (* (- y z) (- y t)))
6.9b	(* x (/ 1 (* (- y z) (- y t))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

10.0ms	(* (- y z) (- y t))
9.0ms	(/ 1 (* (- y z) (- y t)))
13.0ms	(* x (/ 1 (* (- y z) (- y t))))

series46.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(* (- y z) (- y t))
16.0ms	(/ 1 (* (- y z) (- y t)))
18.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify76.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5019	1187

prune134.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	118	5	123

Merged error: 0b

Counts

123 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.2b	(/ (/ 1 (- y z)) (- y t))
6.9b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
329×	`add-sqr-sqrt`
318×	`*-un-lft-identity`
157×	`add-cube-cbrt`
111×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
19×	`add-cbrt-cube`
14×	`flip3--` `div-exp` `flip--` `div-inv`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 327

Calls

3 calls:

5.0ms	(/ 1 (- y z))
11.0ms	(/ (/ 1 (- y z)) (- y t))
31.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1 (- y z))
12.0ms	(/ (/ 1 (- y z)) (- y t))
17.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4989	4598
1	4989	4598

prune299.0ms

Filtered

186 candidates to 336 candidates (-80.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	336	5	341

Merged error: 0b

Counts

341 → 5

regimes333.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	105	13
1	105	13

end0.0ms

sample509.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
13.0ms	401×	body	80	invalid

Details

analyze434.0ms

sample23.0ms

simplify177.0ms

prune7.0ms

localize7.0ms

rewrite19.0ms

series24.0ms

simplify40.0ms

prune113.0ms

localize11.0ms

rewrite37.0ms

series101.0ms

simplify77.0ms

prune136.0ms

localize8.0ms

rewrite37.0ms

series46.0ms

simplify76.0ms

prune134.0ms

localize8.0ms

rewrite70.0ms

series34.0ms

simplify65.0ms

prune299.0ms

regimes333.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample509.0ms

Profiling