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	197×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	13×	body	1280	valid
2.0ms	15×	body	320	valid
1.0ms	35×	body	80	invalid
1.0ms	14×	body	160	valid

simplify64.0ms

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: 25.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.0b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.5b	(/ (* (- 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))

series98.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (- y x) (- z t))
50.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
36.0ms	(/ (* (- 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

prune148.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 4.6b

Counts

91 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.6b	(/ (- y x) (/ (- a t) (- z t)))
3.0b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite84.0ms

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:

8.0ms	(/ (- a t) (- z t))
15.0ms	(/ (- y x) (/ (- a t) (- z t)))
41.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series103.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify104.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

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

prune239.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	278	5	283
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	280	13	293

Merged error: 4.6b

Counts

293 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
2.6b	(/ (/ (- a t) (- z t)) (- y x))
4.9b	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

1933×	`times-frac`
1483×	`*-un-lft-identity`
1480×	`add-sqr-sqrt`
624×	`add-cube-cbrt`
428×	`distribute-lft-out--` `difference-of-squares`
171×	`associate-/r*`
65×	`associate-/r/`
39×	`associate-/l*`
34×	`div-inv`
33×	`flip3--` `flip--`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 946

Calls

4 calls:

8.0ms	(/ (- a t) (- z t))
37.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
15.0ms	(/ (/ (- a t) (- z t)) (- y x))
113.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (- a t) (- z t))
52.0ms	(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
48.0ms	(/ (/ (- a t) (- z t)) (- y x))
55.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify174.0ms

Algorithm

egg-herbie

Counts

958 → 958

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2362	13203
1	5001	11834

prune582.0ms

Filtered

360 candidates to 958 candidates (-166.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	956	2	958
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	957	14	971

Merged error: 4.6b

Counts

971 → 14

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(* (- y x) (/ (- z t) (- a t)))
3.0b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite32.0ms

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))
16.0ms	(* (- 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))
33.0ms	(* (- y x) (/ (- z t) (- a t)))
52.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

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

prune93.0ms

Filtered

85 candidates to 128 candidates (-50.6%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	127	15	142

Merged error: 4.6b

Counts

142 → 15

regimes743.0ms

Accuracy

45.7% (4.1b remaining)

Error of 8.4b against oracle of 4.2b and baseline of 11.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	24
1	35	24

end0.0ms

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.062012%

Guaranteed chance to sample good point: 19.272054%

Results

272.0ms	6545×	body	80	valid
82.0ms	499×	body	640	valid
52.0ms	294×	body	1280	valid
49.0ms	1114×	body	80	invalid
48.0ms	388×	body	320	valid
26.0ms	265×	body	160	valid
2.0ms	9×	body	2560	valid

Details

sample3.7s

simplify64.0ms

prune4.0ms

localize9.0ms

rewrite30.0ms

series98.0ms

simplify55.0ms

prune148.0ms

localize9.0ms

rewrite84.0ms

series103.0ms

simplify104.0ms

prune239.0ms

localize12.0ms

rewrite275.0ms

series164.0ms

simplify174.0ms

prune582.0ms

localize9.0ms

rewrite32.0ms

series94.0ms

simplify54.0ms

prune93.0ms

regimes743.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample4.7s

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