Details

sample5.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.919411%

Results

9.0ms	176×	body	80	valid
8.0ms	33×	body	1280	valid
5.0ms	29×	body	640	valid
5.0ms	28×	body	1280	nan
4.0ms	26×	body	640	nan
2.0ms	12×	body	320	valid
1.0ms	14×	body	320	nan
1.0ms	10×	body	160	nan
1.0ms	6×	body	160	valid
0.0ms	8×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

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: 19.8b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

16.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
15.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	495	950
1	1433	898
2	5002	876

prune206.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	5	121

Merged error: 0.1b

Counts

121 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

16.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
17.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms	(/ (- x y) (- 1.0 y))
16.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	621	1546
1	1974	1467
2	5001	1448

prune268.0ms

Filtered

118 candidates to 156 candidates (-32.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	157	4	161

Merged error: 0b

Counts

161 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.1b	(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r*`
8×	`add-cbrt-cube` `associate-/l*`
7×	`pow1`
6×	`associate-/r/` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`rem-log-exp`
3×	`log-pow` `div-inv`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/` `inv-pow`
1×	`sub-neg` `log-div` `diff-log` `log-rec` `associate--r-`

Counts

4 → 153

Calls

4 calls:

8.0ms	(/ (- x y) (- 1.0 y))
18.0ms	(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms	(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- x y) (- 1.0 y))
12.0ms	(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
17.0ms	(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	590	1443
1	1873	1344
2	5002	1273

prune182.0ms

Filtered

99 candidates to 165 candidates (-66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	165	4	169

Merged error: 0b

Counts

169 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
0.0b	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
0.4b	(* (* 1.0 (exp 1.0)) (- x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in`
3×	`log-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `flip3--` `rem-log-exp` `associate-l` `sum-log` `log-pow` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 55

Calls

3 calls:

8.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
9.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
8.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
10.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
10.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	326	591
1	1456	505
2	5002	464

prune95.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

regimes259.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 17.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	19
1	28	19

end0.0ms

sample7.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.919411%

Results

287.0ms	5738×	body	80	valid
224.0ms	858×	body	1280	valid
140.0ms	712×	body	1280	nan
136.0ms	732×	body	640	valid
119.0ms	756×	body	640	nan
57.0ms	433×	body	320	valid
44.0ms	403×	body	320	nan
21.0ms	239×	body	160	valid
17.0ms	230×	body	160	nan
11.0ms	305×	body	80	nan

Details

sample5.7s

simplify15.0ms

prune3.0ms

localize9.0ms

rewrite57.0ms

series44.0ms

simplify46.0ms

prune206.0ms

localize13.0ms

rewrite61.0ms

series54.0ms

simplify56.0ms

prune268.0ms

localize9.0ms

rewrite61.0ms

series43.0ms

simplify56.0ms

prune182.0ms

localize9.0ms

rewrite27.0ms

series35.0ms

simplify52.0ms

prune95.0ms

regimes259.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.6s

Profiling