Details

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.062012%

Guaranteed chance to sample good point: 19.272054%

Results

8.0ms	204×	body	80	valid
3.0ms	22×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	36×	body	80	invalid
1.0ms	5×	body	1280	valid
1.0ms	8×	body	160	valid

simplify66.0ms

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: 24.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.7b	(/ (* (- y x) (- z t)) (- a t))

rewrite30.0ms

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))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series95.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
51.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
36.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

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

prune158.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	77	13	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	13	91

Merged error: 4.1b

Counts

91 → 13

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.6b	(/ (- y x) (/ (- a t) (- z t)))
2.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite82.0ms

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))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))
39.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series102.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
45.0ms	(/ (- y x) (/ (- a t) (- z t)))
48.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify107.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (23.0ms)

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

prune247.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	276	7	283
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	283	13	296

Merged error: 4.0b

Counts

296 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(* (- y x) (/ (- z t) (- a t)))
2.5b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite33.0ms

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))
17.0ms	(* (- y x) (/ (- z t) (- a t)))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series94.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
31.0ms	(* (- y x) (/ (- z t) (- a t)))
53.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (13.0ms)

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

prune142.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	128	13	141

Merged error: 4.0b

Counts

141 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
1.6b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
4.7b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite47.0ms

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:

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

series104.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 1 (- z t))
9.0ms	(* (- a t) (/ 1 (- z t)))
43.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
47.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (50.0ms)

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

prune116.0ms

Filtered

92 candidates to 154 candidates (-67.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	153	14	167

Merged error: 4.0b

Counts

167 → 14

regimes614.0ms

Accuracy

16.2% (6.3b remaining)

Error of 10.7b against oracle of 4.4b and baseline of 11.9b

bsearch77.0ms

Steps

Iters	Range		Point
10	7.072036130491738e-105	2.969923641865529e-86	3.4336635186223803e-100
10	-9.182822368769959e-156	-1.6744075494291202e-168	-1.0684463994163494e-163

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	19
1	37	19

end0.0ms

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.062012%

Guaranteed chance to sample good point: 19.272054%

Results

277.0ms	6522×	body	80	valid
80.0ms	531×	body	640	valid
49.0ms	1127×	body	80	invalid
46.0ms	262×	body	1280	valid
43.0ms	403×	body	320	valid
30.0ms	265×	body	160	valid
4.0ms	17×	body	2560	valid

Details

sample3.7s

simplify66.0ms

prune4.0ms

localize9.0ms

rewrite30.0ms

series95.0ms

simplify52.0ms

prune158.0ms

localize11.0ms

rewrite82.0ms

series102.0ms

simplify107.0ms

prune247.0ms

localize9.0ms

rewrite33.0ms

series94.0ms

simplify58.0ms

prune142.0ms

localize11.0ms

rewrite47.0ms

series104.0ms

simplify61.0ms

prune116.0ms

regimes614.0ms

bsearch77.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling