Details

sample361.0ms

Algorithm

intervals

Results

17.0ms	423×	body	80	nan
9.0ms	228×	body	80	valid
8.0ms	218×	body	80	overflowed
3.0ms	31×	body	160	valid

simplify75.0ms

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

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: 5.2b

Counts

2 → 1

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
0.3b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
6.0b	(- (exp (* 2.0 x)) 1.0)
6.1b	(- (exp x) 1.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

9.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
9.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
4.0ms	(- (exp (* 2.0 x)) 1.0)
7.0ms	(- (exp x) 1.0)

series255.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
115.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
39.0ms	(- (exp (* 2.0 x)) 1.0)
27.0ms	(- (exp x) 1.0)

simplify121.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	387	1380
1	1054	1314
2	4265	1301
3	5001	1293

prune631.0ms

Filtered

135 candidates to 92 candidates (31.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	5	136

Merged error: 0.3b

Counts

136 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
0.3b	(sqrt (/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0)))
6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
17×	`sqrt-prod`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate-/l/` `add-log-exp` `difference-of-squares`
7×	`flip3--` `flip--`
6×	`distribute-lft-out--`
5×	`pow1` `associate-/r*`
4×	`frac-times` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `sub-neg` `diff-log` `associate-r/` `div-exp` `associate-l/` `div-inv`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 89

Calls

4 calls:

21.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
15.0ms	(sqrt (/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0)))
6.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series715.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
405.0ms	(sqrt (/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0)))
63.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
19.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	607	1410
1	2846	1184
2	5001	1166

prune629.0ms

Filtered

101 candidates to 75 candidates (25.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Merged error: 0.2b

Counts

106 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)
6.1b	(- (exp x) 1.0)
6.1b	(- (exp x) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-log-exp`
7×	`difference-of-squares`
6×	`sqrt-prod`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

4 → 60

Calls

4 calls:

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

series120.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
18.0ms	(- (exp x) 1.0)
21.0ms	(- (exp x) 1.0)
18.0ms	(- (exp x) 1.0)

simplify91.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	156	394
1	399	367
2	1035	363
3	2831	363
4	5002	363

prune327.0ms

Filtered

72 candidates to 49 candidates (31.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0.2b

Counts

78 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)
6.1b	(- (exp x) 1.0)
6.1b	(- (exp x) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-log-exp`
7×	`difference-of-squares`
6×	`sqrt-prod`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

4 → 60

Calls

4 calls:

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

series121.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)
21.0ms	(- (exp x) 1.0)
18.0ms	(- (exp x) 1.0)

simplify93.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	156	394
1	399	367
2	1035	363
3	2831	363
4	5002	363

prune309.0ms

Filtered

72 candidates to 49 candidates (31.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Merged error: 0.2b

Counts

78 → 6

regimes59.0ms

Accuracy

77.7% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.3b

bsearch53.0ms

Steps

Iters	Range		Point
8	-0.0038973504402139516	-5.93144934820363e-07	-1.603154819146751e-05

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

443.0ms	12352×	body	80	nan
285.0ms	7414×	body	80	valid
237.0ms	6612×	body	80	overflowed
63.0ms	706×	body	160	valid

Details

sample361.0ms

simplify75.0ms

prune5.0ms

localize30.0ms

rewrite35.0ms

series255.0ms

simplify121.0ms

prune631.0ms

localize13.0ms

rewrite49.0ms

series715.0ms

simplify71.0ms

prune629.0ms

localize17.0ms

rewrite20.0ms

series120.0ms

simplify91.0ms

prune327.0ms

localize17.0ms

rewrite20.0ms

series121.0ms

simplify93.0ms

prune309.0ms

regimes59.0ms

bsearch53.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling