Details

analyze5.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

sample13.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify65.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5288	6

prune5.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(exp (- (* x x) 1.0))

rewrite10.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`exp-prod` `add-log-exp`
3×	`add-sqr-sqrt`
2×	`add-cube-cbrt` `*-un-lft-identity` `rem-exp-log`
1×	`pow1` `add-exp-log` `sub-neg` `exp-diff` `diff-log` `exp-sum` `add-cbrt-cube` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

9.0ms

(exp (- (* x x) 1.0))

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(exp (- (* x x) 1.0))

simplify41.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4927	122
1	4927	122

prune37.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

localize8.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b	(exp (+ x (sqrt 1.0)))
0.0b	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

rewrite18.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`exp-prod`
6×	`add-cube-cbrt` `pow-unpow`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down`
3×	`pow1`
2×	`add-exp-log` `exp-sum` `add-cbrt-cube` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`unpow-prod-up` `pow-to-exp` `sub-neg` `pow-exp` `sum-log` `sqrt-prod` `distribute-lft-out--` `pow-sub` `sqr-pow`

Counts

2 → 41

Calls

2 calls:

12.0ms	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))
5.0ms	(exp (+ x (sqrt 1.0)))

series12.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))
2.0ms	(exp (+ x (sqrt 1.0)))

simplify41.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4972	469
1	4972	469

prune106.0ms (9.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(exp (* x x))
0.0b	(/ (exp (* x x)) (exp 1.0))

rewrite7.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `add-exp-log`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `frac-2neg` `div-exp` `clear-num` `div-inv` `rem-exp-log`

Counts

2 → 37

Calls

2 calls:

5.0ms	(/ (exp (* x x)) (exp 1.0))
2.0ms	(exp (* x x))

series14.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ (exp (* x x)) (exp 1.0))
2.0ms	(exp (* x x))

simplify47.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5055	385

prune63.0ms (5.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

localize9.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(exp (exp (- (* x x) 1.0)))
0.0b	(exp (- (* x x) 1.0))
1.2b	(log (exp (exp (- (* x x) 1.0))))

rewrite15.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`exp-prod`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`log-pow`
4×	`pow1`
3×	`add-exp-log` `sub-neg` `log-prod` `exp-sum` `add-cbrt-cube` `rem-exp-log`
1×	`exp-diff` `diff-log` `rem-log-exp` `difference-of-squares`

Counts

3 → 43

Calls

3 calls:

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

series16.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(exp (exp (- (* x x) 1.0)))
3.0ms	(log (exp (exp (- (* x x) 1.0))))
3.0ms	(exp (- (* x x) 1.0))

simplify52.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4933	419
1	4933	419

prune89.0ms (8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

regimes83.0ms (7.5%)

Accuracy

Total 0.0b remaining (81%)

Threshold costs 0.0b (81%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample336.0ms (30.3%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	80	valid
0.0ms	7×	body	80	invalid

Details

analyze5.0ms (0.4%)

sample13.0ms (1.2%)

simplify65.0ms (5.9%)

prune5.0ms (0.5%)

localize5.0ms (0.4%)

rewrite10.0ms (0.9%)

series5.0ms (0.4%)

simplify41.0ms (3.7%)

prune37.0ms (3.3%)

localize8.0ms (0.7%)

rewrite18.0ms (1.6%)

series12.0ms (1.1%)

simplify41.0ms (3.7%)

prune106.0ms (9.6%)

localize6.0ms (0.6%)

rewrite7.0ms (0.7%)

series14.0ms (1.2%)

simplify47.0ms (4.2%)

prune63.0ms (5.7%)

localize9.0ms (0.8%)

rewrite15.0ms (1.4%)

series16.0ms (1.5%)

simplify52.0ms (4.7%)

prune89.0ms (8%)

regimes83.0ms (7.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample336.0ms (30.3%)

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