Details

analyze1.1s

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

sample30.0ms

Algorithm

intervals

Results

9.0ms	216×	body	80	valid
2.0ms	11×	body	640	valid
2.0ms	8×	body	1280	valid
2.0ms	37×	body	80	invalid
1.0ms	11×	body	320	valid
1.0ms	10×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

prune4.0ms

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: 26.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.0b	(+ x (/ (* (- y x) (- z t)) (- a t)))
20.1b	(/ (* (- y x) (- z t)) (- a t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
11.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series98.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
54.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
34.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune135.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 2.7b

Counts

91 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.0b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.2b	(* (- y x) (/ (- z t) (- a t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

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

series101.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- z t) (- a t))
56.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
36.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5002	820

prune135.0ms

Filtered

85 candidates to 128 candidates (-50.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	126	10	136

Merged error: 2.6b

Counts

136 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.3b	(/ (- y x) (/ (- a t) (- z t)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

11.0ms	(/ (- a t) (- z t))
43.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))

series245.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (- a t) (- z t))
185.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
45.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify154.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5001	2984

prune227.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	280	3	283
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	284	9	293

Merged error: 2.4b

Counts

293 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.3b	(* (- a t) (/ 1 (- z t)))
2.3b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
3.2b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

5.0ms	(/ 1 (- z t))
15.0ms	(* (- a t) (/ 1 (- z t)))
13.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
8.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- z t))
9.0ms	(* (- a t) (/ 1 (- z t)))
45.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
49.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	559	958
1	2445	830
2	5002	783

prune114.0ms

Filtered

92 candidates to 154 candidates (-67.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	152	11	163

Merged error: 2.4b

Counts

163 → 11

regimes600.0ms

Accuracy

17.7% (6.1b remaining)

Error of 9.9b against oracle of 3.8b and baseline of 11.2b

bsearch2.6s

Steps

Iters	Range		Point
8	1.5912256917109409e-232	1.505626341185395e-228	3.224921526243321e-229
7	-1.3377855041733071e-99	-5.885022301961254e-101	-6.77573700634761e-101

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	12
1	31	12

end0.0ms

analyze1.0s

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

sample1.2s

Algorithm

intervals

Results

394.0ms	477×	body	640	valid
288.0ms	6612×	body	80	valid
55.0ms	1285×	body	80	invalid
44.0ms	232×	body	1280	valid
44.0ms	388×	body	320	valid
22.0ms	278×	body	160	valid
3.0ms	13×	body	2560	valid

Details

analyze1.1s

sample30.0ms

simplify65.0ms

prune4.0ms

localize9.0ms

rewrite35.0ms

series98.0ms

simplify55.0ms

prune135.0ms

localize9.0ms

rewrite36.0ms

series101.0ms

simplify55.0ms

prune135.0ms

localize12.0ms

rewrite89.0ms

series245.0ms

simplify154.0ms

prune227.0ms

localize10.0ms

rewrite46.0ms

series107.0ms

simplify62.0ms

prune114.0ms

regimes600.0ms

bsearch2.6s

simplify1.0ms

end0.0ms

analyze1.0s

sample1.2s

Profiling