Details

sample945.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

8.0ms	206×	body	80	valid
2.0ms	57×	body	80	invalid
2.0ms	14×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	12×	body	160	valid

simplify67.0ms

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

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: 27.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.4b	(+ x (/ (* (- y x) (- z t)) (- a t)))
19.0b	(/ (* (- 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))

series99.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* (- y x) (- z t))
53.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
36.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

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

prune153.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	79	11	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	11	91

Merged error: 4.6b

Counts

91 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
3.4b	(+ x (/ (- y x) (/ (- a t) (- z t))))
3.8b	(/ (- 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))
39.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
17.0ms	(/ (- y x) (/ (- a t) (- z t)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
53.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
44.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify103.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (22.0ms)

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

prune248.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	274	9	283
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	283	11	294

Merged error: 4.3b

Counts

294 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z t))
0.0b	(/ a (- z t))
3.4b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
3.8b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
228×	`times-frac`
211×	`add-sqr-sqrt`
99×	`distribute-lft-out--`
63×	`difference-of-squares`
61×	`add-cube-cbrt`
32×	`associate-/r/`
28×	`associate-/r*`
18×	`distribute-rgt-out--`
16×	`flip3--` `flip--`
15×	`div-inv`
11×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 219

Calls

4 calls:

5.0ms	(/ t (- z t))
6.0ms	(/ a (- z t))
51.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
31.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ t (- z t))
7.0ms	(/ a (- z t))
68.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
52.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

simplify79.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	770	2274
1	2609	2231
2	5003	2227

prune206.0ms

Filtered

154 candidates to 231 candidates (-50.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	231	11	242

Merged error: 4.3b

Counts

242 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- z t) (- a t))
3.4b	(+ x (* (- y x) (/ (- z t) (- a t))))
4.0b	(* (- y x) (/ (- z t) (- a t)))

rewrite34.0ms

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:

7.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
16.0ms	(* (- y x) (/ (- z t) (- a t)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- z t) (- a t))
54.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
32.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

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

prune101.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	128	11	139

Merged error: 4.3b

Counts

139 → 11

regimes512.0ms

Accuracy

16.9% (6.5b remaining)

Error of 10.6b against oracle of 4.1b and baseline of 11.9b

bsearch58.0ms

Steps

Iters	Range		Point
10	1.539863943958958e-198	1.1482737157646374e-186	2.8671415544195622e-188
7	-2.5272211027371214e-129	-2.329106139733046e-131	-4.281333011723459e-131

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	14
1	31	14

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

478.0ms	6526×	body	80	valid
66.0ms	467×	body	640	valid
52.0ms	1267×	body	80	invalid
50.0ms	283×	body	1280	valid
46.0ms	426×	body	320	valid
23.0ms	281×	body	160	valid
4.0ms	17×	body	2560	valid

Details

sample945.0ms

simplify67.0ms

prune5.0ms

localize9.0ms

rewrite30.0ms

series99.0ms

simplify56.0ms

prune153.0ms

localize9.0ms

rewrite84.0ms

series106.0ms

simplify103.0ms

prune248.0ms

localize11.0ms

rewrite107.0ms

series133.0ms

simplify79.0ms

prune206.0ms

localize9.0ms

rewrite34.0ms

series96.0ms

simplify56.0ms

prune101.0ms

regimes512.0ms

bsearch58.0ms

simplify2.0ms

end0.0ms

sample2.1s

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