Details

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50.054932%

Guaranteed chance to sample good point: 6.281315%

Results

36.0ms	82×	body	2560	valid
27.0ms	97×	body	1280	valid
7.0ms	32×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	13×	body	160	valid
1.0ms	9×	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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(- 1.0 (* 5.0 (* v v)))
8.0ms	(/ (- 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)))

series16.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- 1.0 (* 5.0 (* v v)))
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)))

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	355	664
1	1356	609
2	5001	605

prune133.0ms

Filtered

65 candidates to 87 candidates (-33.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 0.6b

Counts

88 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b	(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.2b	(* 5.0 (* v v))
0.6b	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`associate-/r*`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`asin-acos` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

7.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
7.0ms	(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
5.0ms	(* 5.0 (* v v))
1.0ms	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms	(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(* 5.0 (* v v))
3.0ms	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	409	840
1	1459	784
2	5001	780

prune147.0ms

Filtered

69 candidates to 91 candidates (-31.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Merged error: 0.6b

Counts

95 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.1b	(log (exp (* 5.0 (* v v))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

12.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.0ms	(log (exp (* 5.0 (* v v))))

series15.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.0ms	(log (exp (* 5.0 (* v v))))

simplify44.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	381	974
1	1371	861
2	5002	842

prune178.0ms

Filtered

72 candidates to 104 candidates (-44.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	104	4	108

Merged error: 0.6b

Counts

108 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.1b	(log (exp (* 5.0 (* v v))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series14.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify120.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	168	487
1	442	420
2	1093	396
3	3738	390
4	5001	390

prune107.0ms

Filtered

44 candidates to 68 candidates (-54.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.6b

Counts

72 → 4

regimes149.0ms

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	16	24
1	16	24

end0.0ms

sample4.7s

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	2941×	body	2560	valid
709.0ms	2552×	body	1280	valid
258.0ms	1259×	body	640	valid
95.0ms	638×	body	320	valid
43.0ms	416×	body	160	valid
12.0ms	194×	body	80	valid
0.0ms	4×	body	80	nan

Details

sample2.3s

simplify103.0ms

prune3.0ms

localize8.0ms

rewrite19.0ms

series16.0ms

simplify42.0ms

prune133.0ms

localize10.0ms

rewrite23.0ms

series17.0ms

simplify49.0ms

prune147.0ms

localize10.0ms

rewrite23.0ms

series15.0ms

simplify44.0ms

prune178.0ms

localize14.0ms

rewrite12.0ms

series14.0ms

simplify120.0ms

prune107.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling