Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	191×	body	80	valid
5.0ms	20×	body	1280	valid
5.0ms	30×	body	640	nan
4.0ms	25×	body	640	valid
3.0ms	16×	body	1280	nan
3.0ms	71×	body	80	nan
2.0ms	15×	body	320	valid
1.0ms	9×	body	320	nan
1.0ms	8×	body	160	nan
0.0ms	5×	body	160	valid

simplify18.0ms

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: 16.0b

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))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.1b	(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:

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

series43.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (38.0ms)

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))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.4b	(- 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:

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

23.0ms	(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))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (45.0ms)

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

prune297.0ms

Filtered

118 candidates to 156 candidates (-32.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* (sqrt (exp 1.0)) (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
0.1b	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
0.5b	(* (sqrt (exp 1.0)) (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
90×	`times-frac`
74×	`*-un-lft-identity`
47×	`sqrt-prod`
46×	`add-cube-cbrt`
42×	`associate-r`
28×	`difference-of-squares`
17×	`add-exp-log`
14×	`distribute-lft-out--`
11×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `associate-/r` `associate-/l` `add-log-exp` `unswap-sqr`
4×	`prod-exp` `associate-/r/`
3×	`flip3--` `div-exp` `rem-log-exp` `flip--`
2×	`cbrt-undiv` `associate-*r/` `pow-prod-down` `log-pow` `cbrt-unprod` `div-inv`
1×	`sub-neg` `log-div` `log-prod` `frac-2neg` `diff-log` `div-sub` `clear-num` `*-commutative` `associate--r-`

Counts

4 → 160

Calls

4 calls:

22.0ms	(log (* (sqrt (exp 1.0)) (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
21.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
30.0ms	(* (sqrt (exp 1.0)) (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
14.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(log (* (sqrt (exp 1.0)) (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))))
26.0ms	(/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y))))
17.0ms	(* (sqrt (exp 1.0)) (/ (sqrt (exp 1.0)) (- 1.0 (/ (- x y) (- 1.0 y)))))
10.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	557	2129
1	2249	1930
2	5001	1876

prune374.0ms

Filtered

109 candidates to 172 candidates (-57.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	172	5	177

Merged error: 0.0b

Counts

177 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
8×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 67

Calls

4 calls:

15.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
17.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify70.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	201	754
1	518	676
2	2236	661
3	5002	661

prune237.0ms

Filtered

63 candidates to 79 candidates (-25.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

regimes374.0ms

Accuracy

99.3% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	23
1	31	23

end0.0ms

sample1.5s

Algorithm

intervals

Results

280.0ms	5746×	body	80	valid
207.0ms	794×	body	1280	valid
143.0ms	760×	body	640	valid
143.0ms	746×	body	1280	nan
128.0ms	824×	body	640	nan
90.0ms	2583×	body	80	nan
60.0ms	461×	body	320	valid
48.0ms	447×	body	320	nan
21.0ms	239×	body	160	valid
17.0ms	241×	body	160	nan

Details

sample51.0ms

simplify18.0ms

prune3.0ms

localize9.0ms

rewrite56.0ms

series43.0ms

simplify51.0ms

prune217.0ms

localize11.0ms

rewrite61.0ms

series54.0ms

simplify62.0ms

prune297.0ms

localize13.0ms

rewrite94.0ms

series73.0ms

simplify81.0ms

prune374.0ms

localize14.0ms

rewrite63.0ms

series49.0ms

simplify70.0ms

prune237.0ms

regimes374.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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