Details

sample49.0ms

Algorithm

intervals

Results

9.0ms	181×	body	80	valid
6.0ms	27×	body	1280	valid
4.0ms	25×	body	640	valid
4.0ms	22×	body	1280	nan
3.0ms	88×	body	80	nan
3.0ms	18×	body	640	nan
2.0ms	18×	body	320	valid
2.0ms	15×	body	320	nan
1.0ms	12×	body	160	nan
0.0ms	5×	body	160	valid

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

Filtered

1 candidates to 0 candidates (100.0%)

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: 18.7b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.2b	(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:

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- x y) (- 1.0 y))
14.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (32.0ms)

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

prune251.0ms

Filtered

120 candidates to 88 candidates (26.7%)

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: 0.0b

Counts

121 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite71.0ms

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:

7.0ms	(/ (- x y) (- 1.0 y))
15.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
18.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
25.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (- x y) (- 1.0 y))
19.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
18.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (38.0ms)

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

prune307.0ms

Filtered

156 candidates to 117 candidates (25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	156	4	160

Merged error: 0.0b

Counts

160 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
0.3b	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cube-cbrt`
10×	`pow1` `distribute-lft-out--`
8×	`difference-of-squares`
6×	`add-exp-log` `log-prod` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `cbrt-div` `times-frac` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `div-sub` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `associate--r-` `rem-cube-cbrt`

Counts

4 → 93

Calls

4 calls:

5.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
5.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
91.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
11.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify113.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	1108	1527
1	4384	1428
2	5001	1422

prune255.0ms

Filtered

105 candidates to 65 candidates (38.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- 1.0 (/ (- x y) (- 1.0 y))))
1.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.1b	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
3.2b	(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

17.0ms	(exp (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
14.0ms	(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
9.0ms	(log (exp (- 1.0 (/ (- x y) (- 1.0 y)))))
12.0ms	(log (log (exp (- 1.0 (/ (- x y) (- 1.0 y))))))

simplify86.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	302	689
1	876	606
2	3283	597
3	5001	597

prune154.0ms

Filtered

88 candidates to 66 candidates (25.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

regimes361.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 18.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	19
1	28	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

280.0ms	5720×	body	80	valid
193.0ms	774×	body	1280	valid
143.0ms	760×	body	1280	nan
135.0ms	765×	body	640	valid
114.0ms	759×	body	640	nan
95.0ms	2632×	body	80	nan
64.0ms	493×	body	320	valid
47.0ms	419×	body	320	nan
21.0ms	248×	body	160	valid
18.0ms	244×	body	160	nan

Details

sample49.0ms

simplify16.0ms

prune3.0ms

localize8.0ms

rewrite56.0ms

series40.0ms

simplify45.0ms

prune251.0ms

localize18.0ms

rewrite71.0ms

series51.0ms

simplify53.0ms

prune307.0ms

localize11.0ms

rewrite38.0ms

series128.0ms

simplify113.0ms

prune255.0ms

localize11.0ms

rewrite61.0ms

series41.0ms

simplify86.0ms

prune154.0ms

regimes361.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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