Details

sample72.0ms

Algorithm

intervals

Results

28.0ms	95×	body	1280	valid
17.0ms	90×	body	640	valid
8.0ms	291×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	24×	body	160	valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	243	5
8	1563	5
9	5001	5

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: 57.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) (exp (neg x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

simplify32.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	100	120
1	257	106
2	785	105
3	5001	103

prune40.0ms

Filtered

17 candidates to 14 candidates (17.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite24.0ms

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` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

7.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
11.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
6.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	354	458
1	1537	429
2	5002	428

prune134.0ms

Filtered

92 candidates to 59 candidates (35.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
6.7b	(- (sqrt (exp x)) (sqrt (exp (neg x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`sqrt-prod`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `sqrt-pow1` `difference-of-squares`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

16.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
9.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
8.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	282	989
1	1217	868
2	5001	843

prune85.0ms

Filtered

100 candidates to 70 candidates (30.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Merged error: 0b

Counts

103 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (- (exp x) (exp (neg x))) (- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (neg x))) 3))) (* (+ (+ (exp x) (exp (neg x))) (* (sqrt (exp x)) (sqrt (exp (neg x))))) (- (sqrt (exp x)) (sqrt (exp (neg x))))))
6.6b	(- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (neg x))) 3))
6.6b	(- (exp x) (exp (neg x)))
6.7b	(- (sqrt (exp x)) (sqrt (exp (neg x))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
41×	`difference-of-squares`
38×	`sqrt-prod`
32×	`unpow-prod-down` `cube-prod`
28×	`*-un-lft-identity`
20×	`associate-/r/`
16×	`add-exp-log` `frac-times` `flip3--` `associate-*r/` `add-cbrt-cube` `flip--`
12×	`sqrt-div` `frac-add` `distribute-lft-out--` `sqr-pow`
10×	`add-log-exp`
9×	`flip3-+` `flip-+`
8×	`associate-*l/` `associate-/l/`
6×	`neg-sub0` `exp-neg` `exp-diff`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `diff-log`
1×	`difference-cubes` `frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 139

Calls

4 calls:

42.0ms	(/ (* (- (exp x) (exp (neg x))) (- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (neg x))) 3))) (* (+ (+ (exp x) (exp (neg x))) (* (sqrt (exp x)) (sqrt (exp (neg x))))) (- (sqrt (exp x)) (sqrt (exp (neg x))))))
22.0ms	(- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (neg x))) 3))
5.0ms	(- (exp x) (exp (neg x)))
7.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (* (- (exp x) (exp (neg x))) (- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (neg x))) 3))) (* (+ (+ (exp x) (exp (neg x))) (* (sqrt (exp x)) (sqrt (exp (neg x))))) (- (sqrt (exp x)) (sqrt (exp (neg x))))))
213.0ms	(- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (neg x))) 3))
5.0ms	(- (exp x) (exp (neg x)))
8.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

simplify110.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	819	3567
1	4055	2936
2	5001	2936

prune187.0ms

Filtered

151 candidates to 87 candidates (42.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	151	3	154

Merged error: 0b

Counts

154 → 3

regimes32.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	3384×	body	1280	valid
476.0ms	2472×	body	640	valid
239.0ms	8144×	body	80	valid
151.0ms	1248×	body	320	valid
47.0ms	628×	body	160	valid

Details

sample72.0ms

simplify141.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series5.0ms

simplify32.0ms

prune40.0ms

localize11.0ms

rewrite24.0ms

series27.0ms

simplify53.0ms

prune134.0ms

localize11.0ms

rewrite32.0ms

series31.0ms

simplify40.0ms

prune85.0ms

localize20.0ms

rewrite83.0ms

series298.0ms

simplify110.0ms

prune187.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling