Details

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.687661%

Results

9.0ms	37×	body	1280	valid
9.0ms	172×	body	80	valid
5.0ms	29×	body	1280	nan
5.0ms	28×	body	640	valid
4.0ms	28×	body	640	nan
2.0ms	13×	body	320	valid
2.0ms	14×	body	320	nan
1.0ms	10×	body	160	nan
1.0ms	6×	body	160	valid
0.0ms	5×	body	80	nan

simplify16.0ms

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: 21.1b

Counts

2 → 1

localize8.0ms

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)))
3.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite56.0ms

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:

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

series45.0ms

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 (35.0ms)

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

prune202.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Merged error: 0.1b

Counts

121 → 4

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)))

rewrite59.0ms

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:

15.0ms	(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))))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series53.0ms

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))
19.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 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

prune272.0ms

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	2	1	3
Picked	0	1	1
Done	0	0	0
Total	156	4	160

Merged error: 0b

Counts

160 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
0.0b	(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
2.0b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.5b	(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
65×	`times-frac`
60×	`*-un-lft-identity`
48×	`log-prod`
35×	`add-cube-cbrt`
24×	`associate-+r+`
22×	`difference-of-squares`
13×	`add-exp-log`
11×	`distribute-lft-out--`
8×	`pow1`
7×	`add-log-exp`
6×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
4×	`flip3--` `div-exp` `rem-log-exp` `log-pow` `flip--`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`log-div` `rec-exp` `pow-flip` `1-exp` `distribute-lft-out` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `unsub-neg` `clear-num` `sum-log` `flip-+` `associate--r-`

Counts

4 → 141

Calls

4 calls:

19.0ms	(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
18.0ms	(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms	(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ 1.0 (log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))))
12.0ms	(/ 1 (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
18.0ms	(log (/ 1 (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	516	1461
1	1677	1335
2	5001	1202

prune186.0ms

Filtered

92 candidates to 153 candidates (-66.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	153	4	157

Merged error: 0b

Counts

157 → 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)))
0.3b	(* (* 1.0 (exp 1.0)) (- x y))

rewrite30.0ms

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:

11.0ms	(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))

series36.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
11.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
10.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (39.0ms)

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

prune93.0ms

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

regimes253.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 17.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	19
1	29	19

end0.0ms

sample3.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.687661%

Results

324.0ms	5756×	body	80	valid
233.0ms	833×	body	1280	valid
151.0ms	711×	body	1280	nan
149.0ms	711×	body	640	valid
130.0ms	755×	body	640	nan
67.0ms	453×	body	320	valid
48.0ms	406×	body	320	nan
29.0ms	247×	body	160	valid
19.0ms	232×	body	160	nan
14.0ms	304×	body	80	nan

Details

sample1.9s

simplify16.0ms

prune3.0ms

localize8.0ms

rewrite56.0ms

series45.0ms

simplify46.0ms

prune202.0ms

localize13.0ms

rewrite59.0ms

series53.0ms

simplify56.0ms

prune272.0ms

localize9.0ms

rewrite71.0ms

series61.0ms

simplify55.0ms

prune186.0ms

localize9.0ms

rewrite30.0ms

series36.0ms

simplify46.0ms

prune93.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.4s

Profiling