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%)

Algorithm

1×

intervals

Results

18.0ms	110×	body	1280	valid
8.0ms	83×	body	640	valid
3.0ms	256×	pre	80	true
3.0ms	41×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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: 58.3b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.1b	(-.f64 (exp.f64 x) 1.0)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 13

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1.0)

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(-.f64 (exp.f64 x) 1.0)

simplify65.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4881	115
1	4881	115

prune38.0ms (2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	12	4	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.4b	(*.f64 x 1/6)

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

2 → 41

Calls

2 calls:

8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series12.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
3.0ms	(*.f64 x 1/6)

simplify48.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4907	352
1	4907	352

prune59.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1.0))
4.1b	(-.f64 (exp.f64 x) 1.0)
4.1b	(-.f64 (exp.f64 x) 1.0)
4.1b	(-.f64 (exp.f64 x) 1.0)

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
4×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `diff-log_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 54

Calls

4 calls:

4.0ms	(-.f64 (exp.f64 x) 1.0)
4.0ms	(-.f64 (exp.f64 x) 1.0)
4.0ms	(-.f64 (exp.f64 x) 1.0)
4.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1.0))

series25.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1.0))
2.0ms	(-.f64 (exp.f64 x) 1.0)
2.0ms	(-.f64 (exp.f64 x) 1.0)
2.0ms	(-.f64 (exp.f64 x) 1.0)

simplify51.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5212	491

prune80.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0)) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0)))
4.2b	(-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0))

rewrite30.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`sqrt-prod_binary64`
10×	`add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
5×	`associate-l_binary64`
4×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `sub-neg_binary64` `flip-+_binary64`
2×	`pow1/2_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

16.0ms	(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0)) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0)))
7.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))

series23.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0)) (-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0)))
5.0ms	(-.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 1.0))
3.0ms	(sqrt.f64 (exp.f64 x))
3.0ms	(sqrt.f64 (exp.f64 x))

simplify62.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5326	834

prune98.0ms (5.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	98	3	101

Merged error: 0b

Counts

101 → 3

regimes91.0ms (4.8%)

Accuracy

Total 0.5b remaining (89.3%)

Threshold costs 0.5b (89.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms (0%)

sample1.1s (58.1%)

Algorithm

1×

intervals

Results

543.0ms	3346×	body	1280	valid
255.0ms	2483×	body	640	valid
85.0ms	1338×	body	320	valid
82.0ms	8001×	pre	80	true
25.0ms	607×	body	160	valid
5.0ms	226×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms (0.2%)

sample38.0ms (2%)

simplify7.0ms (0.4%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

rewrite5.0ms (0.2%)

series3.0ms (0.2%)

simplify65.0ms (3.4%)

prune38.0ms (2%)

localize6.0ms (0.3%)

rewrite12.0ms (0.7%)

series12.0ms (0.6%)

simplify48.0ms (2.5%)

prune59.0ms (3.1%)

localize7.0ms (0.4%)

rewrite19.0ms (1%)

series25.0ms (1.3%)

simplify51.0ms (2.7%)

prune80.0ms (4.2%)

localize7.0ms (0.4%)

rewrite30.0ms (1.6%)

series23.0ms (1.2%)

simplify62.0ms (3.2%)

prune98.0ms (5.1%)

regimes91.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (58.1%)

Profiling