Details

sample66.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results

25.0ms	81×	body	1280	valid
20.0ms	93×	body	640	valid
5.0ms	47×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	11×	body	80	valid

simplify133.0ms

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

prune2.0ms

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:

7.7b	(- (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)))

simplify31.0ms

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

prune41.0ms

Filtered

14 candidates to 17 candidates (-21.4%)

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

7.0ms	(+ (* 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))

series13.0ms

Counts

3 → 9

Calls

3 calls:

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))

simplify44.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	375
1	1301	346
2	5001	346

prune110.0ms

Filtered

49 candidates to 78 candidates (-59.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
0.0b	(* (exp x) (- (exp x) (pow (exp x) -3)))
0.1b	(pow (exp x) -3)
7.6b	(- (exp x) (pow (exp x) -3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
11×	`add-cube-cbrt` `add-cbrt-cube`
9×	`add-exp-log`
7×	`pow1` `associate-r`
6×	`add-log-exp` `difference-of-squares`
5×	`unpow-prod-down`
4×	`pow-pow` `times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3--` `associate-l` `flip--` `sqr-pow`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

13.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
11.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms	(pow (exp x) -3)
6.0ms	(- (exp x) (pow (exp x) -3))

series55.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
14.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
6.0ms	(pow (exp x) -3)
9.0ms	(- (exp x) (pow (exp x) -3))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	420	889
1	2061	787
2	5001	784

prune124.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
7.8b	(- (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:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
16.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
7.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
20.0ms	(* (+ (sqrt (exp x)) (sqrt (exp (neg x)))) (- (sqrt (exp x)) (sqrt (exp (neg x)))))
8.0ms	(- (sqrt (exp x)) (sqrt (exp (neg x))))

simplify38.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (29.0ms)

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

prune80.0ms

Filtered

70 candidates to 100 candidates (-42.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

regimes33.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.560547%

Guaranteed chance to sample good point: 99.987899%

Results

1.0s	3313×	body	1280	valid
471.0ms	2501×	body	640	valid
157.0ms	1310×	body	320	valid
45.0ms	609×	body	160	valid
10.0ms	267×	body	80	valid
0.0ms	1×	body	80	invalid

Details

sample66.0ms

simplify133.0ms

prune2.0ms

localize6.0ms

rewrite5.0ms

series5.0ms

simplify31.0ms

prune41.0ms

localize10.0ms

rewrite20.0ms

series13.0ms

simplify44.0ms

prune110.0ms

localize11.0ms

rewrite36.0ms

series55.0ms

simplify64.0ms

prune124.0ms

localize10.0ms

rewrite30.0ms

series33.0ms

simplify38.0ms

prune80.0ms

regimes33.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling