Details

sample5.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.054932%

Guaranteed chance to sample good point: 6.281315%

Results

44.0ms	111×	body	2560	valid
19.0ms	70×	body	1280	valid
9.0ms	44×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	6×	body	80	valid

simplify103.0ms

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

prune3.0ms

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)))

rewrite205.0ms

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))
195.0ms	(* 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)))

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (30.0ms)

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

prune116.0ms

Filtered

55 candidates to 72 candidates (-30.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.2b

Counts

73 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

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

series36.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(exp (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)))

simplify117.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (31.0ms)

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

prune103.0ms

Filtered

39 candidates to 66 candidates (-69.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.2b

Counts

70 → 5

localize17.0ms

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)))

rewrite14.0ms

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))
5.0ms	(* 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)))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
3.0ms	(* 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)))

simplify109.0ms

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

prune156.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Merged error: 0.2b

Counts

71 → 4

localize25.0ms

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))))

rewrite10.0ms

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))))

simplify116.0ms

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

prune144.0ms

Filtered

40 candidates to 61 candidates (-52.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Merged error: 0.2b

Counts

65 → 5

regimes215.0ms

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	21	22
1	21	22

end0.0ms

sample7.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.054932%

Guaranteed chance to sample good point: 6.281315%

Results

1.2s	3045×	body	2560	valid
679.0ms	2474×	body	1280	valid
252.0ms	1241×	body	640	valid
91.0ms	592×	body	320	valid
44.0ms	430×	body	160	valid
13.0ms	218×	body	80	valid
0.0ms	1×	body	80	nan

Details

sample5.3s

simplify103.0ms

prune3.0ms

localize7.0ms

rewrite205.0ms

series11.0ms

simplify37.0ms

prune116.0ms

localize11.0ms

rewrite11.0ms

series36.0ms

simplify117.0ms

prune103.0ms

localize17.0ms

rewrite14.0ms

series11.0ms

simplify109.0ms

prune156.0ms

localize25.0ms

rewrite10.0ms

series11.0ms

simplify116.0ms

prune144.0ms

regimes215.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.9s

Profiling