Details

sample240.0ms

Algorithm

intervals

Results

201.0ms	392×	body	80	nan
10.0ms	242×	body	80	valid
7.0ms	191×	body	80	overflowed
2.0ms	19×	body	160	valid

simplify72.0ms

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: 3.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
3.9b	(- (exp (* 2.0 x)) 1.0)
3.9b	(- (exp x) 1.0)

rewrite33.0ms

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
11.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
3.0ms	(- (exp (* 2.0 x)) 1.0)
10.0ms	(- (exp x) 1.0)

simplify127.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (106.0ms)

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

prune247.0ms

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: 0.0b

Counts

136 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (exp (* 2.0 x)))
0.3b	(sqrt (exp (* 2.0 x)))
3.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.9b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `sqrt-prod`
10×	`add-log-exp`
6×	`pow1` `add-cube-cbrt` `sqrt-pow1`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-lft-out--`
2×	`sub-neg` `rem-sqrt-square` `exp-prod` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `flip--`

Counts

4 → 62

Calls

4 calls:

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

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp (* 2.0 x)))
3.0ms	(sqrt (exp (* 2.0 x)))
5.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

simplify101.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	168	382
1	414	365
2	1068	363
3	3163	361
4	5002	361

prune170.0ms

Filtered

74 candidates to 49 candidates (33.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp 2.0) (* 1/2 x))
0.3b	(sqrt (exp (* 2.0 x)))
3.9b	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
3.9b	(- (exp x) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-log-exp`
7×	`add-cube-cbrt` `difference-of-squares`
6×	`pow1` `sqrt-prod`
5×	`unpow-prod-down`
4×	`add-exp-log` `exp-prod` `pow-pow` `add-cbrt-cube`
3×	`sqrt-pow1` `sqr-pow`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`pow-to-exp` `rem-sqrt-square` `pow-unpow` `exp-to-pow` `pow1/2` `pow-exp`

Counts

4 → 66

Calls

4 calls:

3.0ms	(pow (exp 2.0) (* 1/2 x))
2.0ms	(sqrt (exp (* 2.0 x)))
7.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (exp 2.0) (* 1/2 x))
3.0ms	(sqrt (exp (* 2.0 x)))
6.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
2.0ms	(- (exp x) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	243	428
1	686	409
2	2418	406
3	5002	404

prune194.0ms

Filtered

78 candidates to 54 candidates (30.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	77	5	82

Merged error: 0b

Counts

82 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (exp (* 2.0 x)))
0.3b	(sqrt (exp (* 2.0 x)))
3.9b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.9b	(- (exp x) 1.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `sqrt-prod`
10×	`add-log-exp`
6×	`pow1` `add-cube-cbrt` `sqrt-pow1`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-lft-out--`
2×	`sub-neg` `rem-sqrt-square` `exp-prod` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `flip--`

Counts

4 → 62

Calls

4 calls:

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

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp (* 2.0 x)))
3.0ms	(sqrt (exp (* 2.0 x)))
5.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
2.0ms	(- (exp x) 1.0)

simplify103.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	168	382
1	414	365
2	1068	363
3	3163	361
4	5002	361

prune175.0ms

Filtered

74 candidates to 49 candidates (33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0b

Counts

79 → 5

regimes50.0ms

Accuracy

68.3% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 2.6b

bsearch19.0ms

Steps

Iters	Range		Point
9	-10.759863045084348	-3.6532051617239265e-06	-2.6558376938500885e-05

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	30
1	34	30

end0.0ms

sample1.5s

Algorithm

intervals

Results

483.0ms	12724×	body	80	nan
305.0ms	7483×	body	80	valid
248.0ms	6770×	body	80	overflowed
62.0ms	653×	body	160	valid

Details

sample240.0ms

simplify72.0ms

prune5.0ms

localize11.0ms

rewrite33.0ms

series31.0ms

simplify127.0ms

prune247.0ms

localize13.0ms

rewrite14.0ms

series15.0ms

simplify101.0ms

prune170.0ms

localize19.0ms

rewrite17.0ms

series15.0ms

simplify64.0ms

prune194.0ms

localize17.0ms

rewrite15.0ms

series13.0ms

simplify103.0ms

prune175.0ms

regimes50.0ms

bsearch19.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling