Details

sample10.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.805664%

Guaranteed chance to sample good point: 61.703175%

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 5.9b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* z (- y t)) 2.0)
5.8b	(/ x (/ (* z (- y t)) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/l*`
2×	`pow1` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`flip3--` `associate-/r/` `flip--`

Counts

2 → 71

Calls

2 calls:

6.0ms	(/ (* z (- y t)) 2.0)
7.0ms	(/ x (/ (* z (- y t)) 2.0))

series21.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ (* z (- y t)) 2.0)
12.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	347	491
1	1499	430
2	5001	427

prune125.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	71	8	79

Merged error: 0b

Counts

79 → 8

localize8.0ms

Local error

Found 1 expressions with local error:

5.3b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
103×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
62×	`associate-r`
55×	`add-cube-cbrt`
40×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`div-exp`
13×	`associate-l`
12×	`prod-exp`
9×	`cbrt-undiv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
6×	`cbrt-unprod`
5×	`div-inv`
3×	`pow1` `rec-exp` `1-exp`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative` `add-log-exp`

Counts

1 → 114

Calls

1 calls:

27.0ms

(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	758	903
1	3639	763
2	5001	756

prune132.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

5.3b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

594×	`times-frac`
324×	`add-sqr-sqrt` `*-un-lft-identity`
252×	`add-cube-cbrt`
62×	`associate-/l*`
36×	`distribute-lft-out--` `difference-of-squares`
17×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 268

Calls

1 calls:

17.0ms

(/ (/ x (/ (- y t) 2.0)) z)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(/ (/ x (/ (- y t) 2.0)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1320	3085
1	5001	2994

prune329.0ms

Filtered

211 candidates to 271 candidates (-28.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	271	6	277

Merged error: 0b

Counts

277 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

5.3b	(/ (/ x z) (/ (- y t) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

637×	`times-frac`
351×	`add-sqr-sqrt` `*-un-lft-identity`
267×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
35×	`div-inv`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 299

Calls

1 calls:

14.0ms

(/ (/ x z) (/ (- y t) 2.0))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(/ (/ x z) (/ (- y t) 2.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1564	3639
1	5001	3548

prune387.0ms

Filtered

217 candidates to 302 candidates (-39.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	302	6	308

Merged error: 0b

Counts

308 → 6

regimes306.0ms

Accuracy

41.6% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 5.6b

bsearch77.0ms

Steps

Iters	Range		Point
8	2.0983654576779964e+203	5.601440555670107e+207	3.3198145839551466e+203
7	-5.4241455375682136e-39	-5.536372770406687e-41	-4.7381317092807915e-39

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12

end0.0ms

sample11.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.805664%

Guaranteed chance to sample good point: 61.703175%

Results

300.0ms	8000×	body	80	valid
23.0ms	641×	body	80	invalid

Details

sample10.4s

simplify16.0ms

prune11.0ms

localize7.0ms

rewrite15.0ms

series21.0ms

simplify41.0ms

prune125.0ms

localize8.0ms

rewrite37.0ms

series13.0ms

simplify81.0ms

prune132.0ms

localize7.0ms

rewrite40.0ms

series15.0ms

simplify58.0ms

prune329.0ms

localize7.0ms

rewrite40.0ms

series12.0ms

simplify70.0ms

prune387.0ms

regimes306.0ms

bsearch77.0ms

simplify1.0ms

end0.0ms

sample11.4s

Profiling