Details

analyze10.0ms

Algorithm: search

sample64.0ms

Algorithm

intervals

Results

32.0ms	96×	body	1280	valid
16.0ms	78×	body	640	valid
7.0ms	56×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	9×	body	80	valid

simplify139.0ms

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

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: 57.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.5b	(- (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)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify30.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

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

prune39.0ms

Filtered

14 candidates to 17 candidates (-21.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

4.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 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:

13.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
6.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify54.0ms

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

59 candidates to 92 candidates (-55.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	92	2	94

Merged error: 0b

Counts

94 → 2

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))
4.6b	(- (sqrt (exp x)) (sqrt (exp (neg x))))

rewrite30.0ms

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))
7.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

series33.0ms

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))
10.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

simplify39.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (30.0ms)

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

prune83.0ms

Filtered

70 candidates to 100 candidates (-42.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

regimes28.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

analyze4.0ms

Algorithm: search

sample2.0s

Algorithm

intervals

Results

1.1s	3398×	body	1280	valid
502.0ms	2457×	body	640	valid
157.0ms	1219×	body	320	valid
52.0ms	646×	body	160	valid
11.0ms	280×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze10.0ms

sample64.0ms

simplify139.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series6.0ms

simplify30.0ms

prune39.0ms

localize11.0ms

rewrite25.0ms

series27.0ms

simplify54.0ms

prune134.0ms

localize11.0ms

rewrite30.0ms

series33.0ms

simplify39.0ms

prune83.0ms

regimes28.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze4.0ms

sample2.0s

Profiling