Details

analyze531.0ms

Algorithm: search

sample39.0ms

Algorithm

intervals

Results

8.0ms	183×	body	80	valid
5.0ms	22×	body	1280	valid
4.0ms	26×	body	640	valid
4.0ms	21×	body	1280	nan
3.0ms	25×	body	640	nan
2.0ms	16×	body	320	valid
1.0ms	10×	body	320	nan
1.0ms	11×	body	160	nan
1.0ms	9×	body	160	valid
1.0ms	16×	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: 18.0b

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))
2.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite52.0ms

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)))))
7.0ms	(/ (- x y) (- 1.0 y))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
15.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
11.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (33.0ms)

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

prune200.0ms

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: 0.0b

Counts

121 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
2.5b	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
12.6b	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
38.0ms	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
36.0ms	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify91.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	384	1160
1	1013	1037
2	4018	1010
3	5001	1006

prune213.0ms

Filtered

68 candidates to 81 candidates (-19.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

localize10.0ms

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

rewrite55.0ms

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:

14.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
7.0ms	(/ (- x y) (- 1.0 y))
15.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
12.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
5.0ms	(/ (- 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)))

simplify54.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (39.0ms)

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

prune262.0ms

Filtered

118 candidates to 156 candidates (-32.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	155	5	160

Merged error: 0b

Counts

160 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
2.5b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `div-sub` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 66

Calls

4 calls:

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

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify54.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	201	696
1	518	628
2	2236	618
3	5001	618

prune186.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 0b

Counts

83 → 5

regimes340.0ms

Accuracy

98.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 17.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	25
1	31	25

end0.0ms

analyze525.0ms

Algorithm: search

sample1.3s

Algorithm

intervals

Results

276.0ms	5648×	body	80	valid
208.0ms	819×	body	1280	valid
155.0ms	841×	body	640	valid
147.0ms	732×	body	1280	nan
114.0ms	748×	body	640	nan
57.0ms	431×	body	320	valid
44.0ms	407×	body	320	nan
25.0ms	261×	body	160	valid
19.0ms	259×	body	160	nan
14.0ms	372×	body	80	nan

Details

analyze531.0ms

sample39.0ms

simplify16.0ms

prune3.0ms

localize8.0ms

rewrite52.0ms

series42.0ms

simplify44.0ms

prune200.0ms

localize12.0ms

rewrite82.0ms

series36.0ms

simplify91.0ms

prune213.0ms

localize10.0ms

rewrite55.0ms

series48.0ms

simplify54.0ms

prune262.0ms

localize13.0ms

rewrite53.0ms

series40.0ms

simplify54.0ms

prune186.0ms

regimes340.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze525.0ms

sample1.3s

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