Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	103×	body	1280	valid
8.0ms	87×	body	640	valid
4.0ms	373×	pre	80	true
2.0ms	39×	body	320	valid
2.0ms	120×	body	80	valid
1.0ms	24×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

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: 59.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (exp x) 1.0)

rewrite4.0ms

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:

4.0ms

(- (exp x) 1.0)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify52.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5689	117

prune34.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (* x (+ 1/2 (* x 1/6))))
0.0b	(* x (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative` `add-log-exp`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

6.0ms	(* x (* x (+ 1/2 (* x 1/6))))
5.0ms	(* x (+ 1/2 (* x 1/6)))
3.0ms	(* x 1/6)

series14.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* x (* x (+ 1/2 (* x 1/6))))
5.0ms	(* x (+ 1/2 (* x 1/6)))
2.0ms	(* x 1/6)

simplify49.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5121	560

prune70.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

7.2b	(log (exp (- (exp x) 1.0)))
7.3b	(- (exp x) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`log-pow`
5×	`log-prod` `exp-prod`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `sub-neg` `exp-sum` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 34

Calls

2 calls:

5.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series4.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(log (exp (- (exp x) 1.0)))
2.0ms	(- (exp x) 1.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4934	253
1	4934	253

prune44.0ms

Filtered

27 candidates to 40 candidates (-48.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

7.3b	(- (exp x) 1.0)
7.3b	(- (exp x) 1.0)
7.3b	(log (sqrt (exp (- (exp x) 1.0))))
7.3b	(log (sqrt (exp (- (exp x) 1.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
6.0ms	(log (sqrt (exp (- (exp x) 1.0))))
6.0ms	(log (sqrt (exp (- (exp x) 1.0))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (exp x) 1.0)
2.0ms	(- (exp x) 1.0)
18.0ms	(log (sqrt (exp (- (exp x) 1.0))))
18.0ms	(log (sqrt (exp (- (exp x) 1.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5537	714

prune156.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	90	3	93

Merged error: 0.0b

Counts

93 → 3

regimes116.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

560.0ms	3442×	body	1280	valid
254.0ms	2488×	body	640	valid
120.0ms	11941×	pre	80	true
79.0ms	1222×	body	320	valid
63.0ms	4111×	body	80	valid
30.0ms	678×	body	160	valid

Details

sample44.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series2.0ms

simplify52.0ms

prune34.0ms

localize6.0ms

rewrite16.0ms

series14.0ms

simplify49.0ms

prune70.0ms

localize6.0ms

rewrite10.0ms

series4.0ms

simplify70.0ms

prune44.0ms

localize8.0ms

rewrite22.0ms

series40.0ms

simplify51.0ms

prune156.0ms

regimes116.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling