Details

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.048828%

Guaranteed chance to sample good point: 3.934506%

Results

43.0ms	111×	body	2560	valid
19.0ms	70×	body	1280	valid
12.0ms	44×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	6×	body	80	valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	42	7
2	77	7
3	146	7
4	242	7
5	417	7
6	2789	7
7	5002	7

prune2.0ms

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: 0.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.2b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	336	587
1	1261	535
2	5002	531

prune113.0ms

Filtered

55 candidates to 72 candidates (-30.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.2b

Counts

73 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.1b	(* 5.0 (* v v))
0.2b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log`
9×	`add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`log-prod`
4×	`exp-prod` `add-log-exp`
3×	`associate-l` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `associate-r` `*-commutative` `rem-exp-log` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

2.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
24.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify116.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	156	537
1	407	466
2	1036	448
3	3485	442
4	5001	442

prune97.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Merged error: 0.2b

Counts

69 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.2b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.2b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
5.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify110.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	119	368
1	350	308
2	945	308
3	3243	308
4	5001	308

prune147.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	67	4	71

Merged error: 0.2b

Counts

71 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.2b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
0.2b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0b	(log (exp (* 5.0 (* v v))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
3×	`log-prod` `associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`acos-asin`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 49

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms	(log (exp (* 5.0 (* v v))))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms	(log (exp (* 5.0 (* v v))))

simplify112.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	156	359
1	412	304
2	1040	304
3	3582	304
4	5001	304

prune137.0ms

Filtered

40 candidates to 61 candidates (-52.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Merged error: 0.2b

Counts

65 → 5

regimes206.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	22
1	22	22

end0.0ms

sample5.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.048828%

Guaranteed chance to sample good point: 3.934506%

Results

1.2s	3037×	body	2560	valid
666.0ms	2483×	body	1280	valid
252.0ms	1239×	body	640	valid
86.0ms	594×	body	320	valid
46.0ms	430×	body	160	valid
13.0ms	217×	body	80	valid

Details

sample2.4s

simplify99.0ms

prune2.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify39.0ms

prune113.0ms

localize11.0ms

rewrite11.0ms

series33.0ms

simplify116.0ms

prune97.0ms

localize14.0ms

rewrite15.0ms

series13.0ms

simplify110.0ms

prune147.0ms

localize26.0ms

rewrite11.0ms

series11.0ms

simplify112.0ms

prune137.0ms

regimes206.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.0s

Profiling