Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample38.0ms (2.3%)

Algorithm

1×

intervals

Results

18.0ms	109×	body	1280	valid
8.0ms	81×	body	640	valid
3.0ms	256×	pre	80	true
3.0ms	43×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	6×	body	80	valid

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	4
1	68	4

prune4.0ms (0.2%)

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: 58.9b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.4b	(- (exp x) 1.0)

rewrite4.0ms (0.2%)

Algorithm

1×	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 → 13

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series2.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify75.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4883	115
1	4883	115

prune38.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

7.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
3.0ms	(* x 1/6)
3.0ms	(+ 1/2 (* x 1/6))

series11.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
3.0ms	(+ 1/2 (* x 1/6))
2.0ms	(* x 1/6)

simplify62.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4857	451
1	4857	451

prune81.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Merged error: 0.0b

Counts

63 → 2

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(exp (log (- (exp x) 1.0)))
4.4b	(- (exp x) 1.0)

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

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

series4.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

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

simplify49.0ms (3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5056	266

prune53.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

regimes64.0ms (3.9%)

Accuracy

Total 0.4b remaining (90.7%)

Threshold costs 0.4b (90.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms (0%)

sample1.1s (67.6%)

Algorithm

1×

intervals

Results

537.0ms	3428×	body	1280	valid
251.0ms	2494×	body	640	valid
86.0ms	8000×	pre	80	true
81.0ms	1284×	body	320	valid
25.0ms	606×	body	160	valid
4.0ms	188×	body	80	valid

Details

analyze3.0ms (0.2%)

sample38.0ms (2.3%)

simplify4.0ms (0.3%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

rewrite4.0ms (0.2%)

series2.0ms (0.1%)

simplify75.0ms (4.6%)

prune38.0ms (2.3%)

localize6.0ms (0.4%)

rewrite14.0ms (0.9%)

series11.0ms (0.7%)

simplify62.0ms (3.8%)

prune81.0ms (4.9%)

localize5.0ms (0.3%)

rewrite10.0ms (0.6%)

series4.0ms (0.3%)

simplify49.0ms (3%)

prune53.0ms (3.2%)

regimes64.0ms (3.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample1.1s (67.6%)

Profiling