Details

sample879.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

9.0ms	241×	body	80	valid
2.0ms	11×	body	1280	valid
2.0ms	13×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	9×	body	160	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	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: 17.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.9b	(- (+ x y) (/ (* (- z t) y) (- a t)))
14.3b	(/ (* (- z t) y) (- a t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- z t) y)
10.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms	(/ (* (- z t) y) (- a t))

series56.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (- z t) y)
35.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
15.0ms	(/ (* (- z t) y) (- a t))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune128.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	11	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	11	80

Merged error: 4.1b

Counts

80 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
2.4b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.1b	(/ (- z t) (/ (- a t) y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

5.0ms	(/ (- a t) y)
37.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
12.0ms	(/ (- z t) (/ (- a t) y))

series64.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- a t) y)
36.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
22.0ms	(/ (- z t) (/ (- a t) y))

simplify79.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	853	1851
1	3326	1798
2	5001	1798

prune202.0ms

Filtered

137 candidates to 206 candidates (-50.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	199	7	206
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	205	12	217

Merged error: 4.1b

Counts

217 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (/ (- z t) (/ (- a t) y))))
0.0b	(/ (- a t) y)
4.4b	(- y (/ (- z t) (/ (- a t) y)))
10.1b	(/ (- z t) (/ (- a t) y))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
181×	`add-sqr-sqrt`
180×	`*-un-lft-identity`
88×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-/l*`
8×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-sub` `div-exp` `associate-/l/`
3×	`associate-+r+` `flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `sum-log` `associate-/r/` `distribute-lft-out` `associate--r-`
1×	`+-commutative` `associate-+r-` `distribute-rgt-out--` `flip3-+` `flip-+`

Counts

4 → 211

Calls

4 calls:

30.0ms	(+ x (- y (/ (- z t) (/ (- a t) y))))
6.0ms	(/ (- a t) y)
30.0ms	(- y (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))

series84.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ x (- y (/ (- z t) (/ (- a t) y))))
6.0ms	(/ (- a t) y)
22.0ms	(- y (/ (- z t) (/ (- a t) y)))
23.0ms	(/ (- z t) (/ (- a t) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	842	1914
1	3172	1859
2	5001	1859

prune201.0ms

Filtered

150 candidates to 223 candidates (-48.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	222	13	235

Merged error: 4.1b

Counts

235 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

4.4b	(- y (/ (- z t) (/ (- a t) y)))
10.1b	(/ (- z t) (/ (- a t) y))
10.1b	(/ (- z t) (/ (- a t) y))
10.1b	(/ (- z t) (/ (- a t) y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

558×	`times-frac`
463×	`add-sqr-sqrt`
457×	`*-un-lft-identity`
226×	`add-cube-cbrt`
117×	`difference-of-squares`
115×	`distribute-lft-out--`
57×	`associate-/r*`
21×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/l/` `add-log-exp`
4×	`pow1` `flip3--` `div-sub` `associate-/r/` `flip--`
3×	`frac-2neg` `clear-num`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate--r-`

Counts

4 → 429

Calls

4 calls:

32.0ms	(- y (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))
11.0ms	(/ (- z t) (/ (- a t) y))
11.0ms	(/ (- z t) (/ (- a t) y))

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- y (/ (- z t) (/ (- a t) y)))
20.0ms	(/ (- z t) (/ (- a t) y))
26.0ms	(/ (- z t) (/ (- a t) y))
20.0ms	(/ (- z t) (/ (- a t) y))

simplify98.0ms

Algorithm

egg-herbie

Counts

441 → 441

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	729	4379
1	2708	4273
2	5002	4270

prune323.0ms

Filtered

290 candidates to 441 candidates (-52.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	436	5	441
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	441	13	454

Merged error: 4.1b

Counts

454 → 13

regimes561.0ms

Accuracy

16.8% (5.5b remaining)

Error of 9.3b against oracle of 3.8b and baseline of 10.4b

bsearch35.0ms

Steps

Iters	Range		Point
5	1.1482737157646374e-186	4.4088196135161055e-186	4.296784980292914e-186
6	-8.609324435982582e-117	-8.323120170004516e-118	-1.0167539395772262e-117

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	32
1	35	32

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

298.0ms	7418×	body	80	valid
69.0ms	458×	body	640	valid
45.0ms	366×	body	320	valid
43.0ms	241×	body	1280	valid
18.0ms	252×	body	160	valid
3.0ms	14×	body	2560	valid

Details

sample879.0ms

simplify117.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series56.0ms

simplify45.0ms

prune128.0ms

localize9.0ms

rewrite64.0ms

series64.0ms

simplify79.0ms

prune202.0ms

localize9.0ms

rewrite88.0ms

series84.0ms

simplify76.0ms

prune201.0ms

localize16.0ms

rewrite91.0ms

series88.0ms

simplify98.0ms

prune323.0ms

regimes561.0ms

bsearch35.0ms

simplify2.0ms

end0.0ms

sample1.7s

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