Details

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.919411%

Results

10.0ms	188×	body	80	valid
6.0ms	25×	body	1280	valid
4.0ms	20×	body	640	valid
3.0ms	20×	body	640	nan
3.0ms	13×	body	1280	nan
2.0ms	14×	body	320	valid
1.0ms	10×	body	320	nan
1.0ms	9×	body	160	valid
1.0ms	9×	body	160	nan
0.0ms	12×	body	80	nan

simplify17.0ms

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

prune4.0ms

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: 17.1b

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))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite65.0ms

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:

18.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- 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))))

simplify47.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

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

prune217.0ms

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

localize11.0ms

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))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite62.0ms

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))))
16.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
15.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (40.0ms)

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

prune291.0ms

Filtered

118 candidates to 156 candidates (-32.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	156	5	161

Merged error: 0b

Counts

161 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
0.1b	(/ (- x y) (sqrt (- 1.0 y)))
3.9b	(log (- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))))
8.3b	(- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

788×	`times-frac`
697×	`add-sqr-sqrt`
653×	`*-un-lft-identity`
500×	`sqrt-prod`
291×	`add-cube-cbrt`
193×	`difference-of-squares`
181×	`distribute-lft-out--`
51×	`associate-/l*`
22×	`sqrt-div` `associate-/r/`
16×	`associate-/r*`
14×	`flip3--` `flip--`
12×	`add-exp-log`
11×	`log-prod` `add-cbrt-cube` `div-inv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`log-div` `frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 553

Calls

4 calls:

26.0ms	(/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
9.0ms	(/ (- x y) (sqrt (- 1.0 y)))
100.0ms	(log (- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))))
101.0ms	(- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
17.0ms	(/ (- x y) (sqrt (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))))
10.0ms	(- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

simplify145.0ms

Algorithm

egg-herbie

Counts

565 → 565

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	1299	8607
1	4742	7738
2	5003	7720

prune634.0ms

Filtered

210 candidates to 565 candidates (-169.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	565	0	565
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	565	5	570

Merged error: 0b

Counts

570 → 5

localize11.0ms

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)))
0.3b	(* (* 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))))
9.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
10.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (40.0ms)

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

prune99.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Merged error: 0b

Counts

69 → 5

regimes255.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 18.3b

bsearch71.0ms

Steps

Iters	Range		Point
11	0.0034872975134358857	4.010806394245789e+24	1.0136458311027519
9	-9.395777236043229e+16	-41874091.446849674	-120438841.71974802

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.919411%

Results

300.0ms	5701×	body	80	valid
213.0ms	827×	body	1280	valid
143.0ms	770×	body	640	valid
141.0ms	674×	body	1280	nan
117.0ms	765×	body	640	nan
62.0ms	463×	body	320	valid
51.0ms	452×	body	320	nan
23.0ms	239×	body	160	valid
19.0ms	253×	body	160	nan
11.0ms	284×	body	80	nan

Details

sample1.9s

simplify17.0ms

prune4.0ms

localize9.0ms

rewrite65.0ms

series41.0ms

simplify47.0ms

prune217.0ms

localize11.0ms

rewrite62.0ms

series52.0ms

simplify57.0ms

prune291.0ms

localize11.0ms

rewrite279.0ms

series44.0ms

simplify145.0ms

prune634.0ms

localize11.0ms

rewrite27.0ms

series35.0ms

simplify47.0ms

prune99.0ms

regimes255.0ms

bsearch71.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling