Details

analyze2.0ms

Algorithm: search

sample39.0ms

Algorithm

intervals

Results

16.0ms	64×	body	1280	valid
8.0ms	46×	body	640	valid
4.0ms	112×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	30	5
3	52	5
4	114	5
5	322	5
6	1627	5
7	5002	5

prune8.0ms

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: 34.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ 1.0 (exp (* -2.0 x)))
5.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
10.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series17.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1.0 (exp (* -2.0 x)))
6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
9.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify92.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	251	494
1	731	465
2	2771	460
3	5002	460

prune122.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
0.2b	(* 5.551115123125783e-17 (pow x 4))
8.4b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
9.0ms	(* 0.33333333333333337 (pow x 3))
5.0ms	(* 5.551115123125783e-17 (pow x 4))
4.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
4.0ms	(* 0.33333333333333337 (pow x 3))
4.0ms	(* 5.551115123125783e-17 (pow x 4))
10.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	344	493
1	1475	459
2	5001	459

prune134.0ms

Filtered

58 candidates to 93 candidates (-60.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.6b	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.7b	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

388×	`times-frac`
305×	`*-un-lft-identity`
233×	`sqrt-prod`
214×	`add-sqr-sqrt`
189×	`add-cube-cbrt`
57×	`distribute-lft-out`
30×	`associate-/l*`
22×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`div-inv`
7×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 321

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
17.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
9.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
67.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
6.0ms	(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
9.0ms	(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
8.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify99.0ms

Algorithm

egg-herbie

Counts

333 → 333

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	790	5746
1	2871	5152
2	5002	4983

prune572.0ms

Filtered

146 candidates to 333 candidates (-128.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	333	0	333
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	333	3	336

Merged error: 0.0b

Counts

336 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
2.7b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
8×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `associate-/r/` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 96

Calls

4 calls:

5.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
5.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
10.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
10.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
8.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	220	826
1	613	782
2	2018	774
3	5001	774

prune250.0ms

Filtered

80 candidates to 108 candidates (-35.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0.0b

Counts

111 → 3

regimes482.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	33
1	38	33

end0.0ms

analyze1.0ms

Algorithm: search

sample1.0s

Algorithm

intervals

Results

422.0ms	1700×	body	1280	valid
208.0ms	1223×	body	640	valid
141.0ms	4122×	body	80	valid
69.0ms	612×	body	320	valid
25.0ms	343×	body	160	valid

Details

analyze2.0ms

sample39.0ms

simplify60.0ms

prune8.0ms

localize8.0ms

rewrite20.0ms

series17.0ms

simplify92.0ms

prune122.0ms

localize11.0ms

rewrite26.0ms

series24.0ms

simplify53.0ms

prune134.0ms

localize9.0ms

rewrite118.0ms

series28.0ms

simplify99.0ms

prune572.0ms

localize9.0ms

rewrite34.0ms

series28.0ms

simplify66.0ms

prune250.0ms

regimes482.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.0ms

sample1.0s

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