Details

analyze683.0ms

Algorithm: search

sample60.0ms

Algorithm

intervals

Results

27.0ms	72×	body	1280	valid
12.0ms	51×	body	640	valid
5.0ms	94×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	16×	body	160	valid

simplify433.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	28	7
2	40	7
3	73	7
4	176	7
5	559	7
6	2626	7
7	5001	7

prune5.0ms

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: 39.3b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.2b	(- (exp x) 1.0)
4.4b	(- (exp (* 2.0 x)) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
15×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 80

Calls

3 calls:

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

series39.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)
10.0ms	(- (exp (* 2.0 x)) 1.0)

simplify99.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	304	772
1	855	733
2	3569	730
3	5001	730

prune154.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	2	90

Merged error: 0b

Counts

90 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
11.2b	(sqrt (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `associate-+r+` `sqrt-pow1` `pow1/2`

Counts

2 → 28

Calls

2 calls:

7.0ms	(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
6.0ms	(sqrt (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
6.0ms	(sqrt (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

simplify147.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	217	319
1	830	301
2	4752	288
3	5002	287

prune61.0ms

Filtered

26 candidates to 34 candidates (-30.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
0.0b	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
4.2b	(- (exp x) 1.0)
4.4b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

17.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
17.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)
6.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

series36.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
18.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)
5.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	481	1464
1	2401	1163
2	5003	1124

prune280.0ms

Filtered

83 candidates to 117 candidates (-41.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

regimes35.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch24.0ms

Steps

Iters	Range		Point
8	-0.0006941189594831617	-2.6249509029771955e-06	-1.0706139584608031e-05

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	21
1	32	21

end0.0ms

analyze472.0ms

Algorithm: search

sample1.6s

Algorithm

intervals

Results

816.0ms	2256×	body	1280	valid
394.0ms	1666×	body	640	valid
129.0ms	2838×	body	80	valid
122.0ms	818×	body	320	valid
42.0ms	422×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze683.0ms

sample60.0ms

simplify433.0ms

prune5.0ms

localize11.0ms

rewrite21.0ms

series39.0ms

simplify99.0ms

prune154.0ms

localize11.0ms

rewrite13.0ms

series9.0ms

simplify147.0ms

prune61.0ms

localize14.0ms

rewrite48.0ms

series36.0ms

simplify68.0ms

prune280.0ms

regimes35.0ms

bsearch24.0ms

simplify2.0ms

end0.0ms

analyze472.0ms

sample1.6s

Profiling