Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample34.0ms (2%)

Algorithm

1×

intervals

Results

16.0ms	184×	body	160	valid
9.0ms	72×	body	320	valid
4.0ms	256×	pre	80	true

simplify228.0ms (13%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (226.0ms)

Iter	Nodes	Cost
0	4961	19
1	4961	19

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 61.8b

Counts

2 → 1

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

61.8b

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`frac-add`
13×	`flip3-+` `flip-+`
8×	`frac-times` `flip3--` `flip--`
6×	`add-log-exp`
4×	`associate-r/` `associate-l/`
2×	`associate-+l+` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `sub-neg` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `diff-log` `add-cbrt-cube`

Counts

1 → 32

Calls

1 calls:

10.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (* (+ 1.0 (* t 2e-16)) (+ 1.0 (* t 2e-16))) (- -1.0 (* 2.0 (* t 2e-16))))

simplify43.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5024	1699

prune100.0ms (5.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	1	36

Merged error: 0.3b

Counts

36 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(* t (* t 3.9999999999999997e-32))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* t (* t 3.9999999999999997e-32))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* t (* t 3.9999999999999997e-32))

simplify47.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5077	120

prune42.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(* (* t t) 3.9999999999999997e-32)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* (* t t) 3.9999999999999997e-32)

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* t t) 3.9999999999999997e-32)

simplify42.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5269	130

prune36.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b	(* t (sqrt 3.9999999999999997e-32))
0.3b	(* t (* t (sqrt 3.9999999999999997e-32)))
0.3b	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))

rewrite22.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt` `associate-r`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l` `sqrt-prod`
3×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 64

Calls

3 calls:

10.0ms	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))
5.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
5.0ms	(* t (sqrt 3.9999999999999997e-32))

series15.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (* t (* t (sqrt 3.9999999999999997e-32))) (sqrt 3.9999999999999997e-32))
5.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
4.0ms	(* t (sqrt 3.9999999999999997e-32))

simplify35.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5354	436

prune113.0ms (6.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0b

Counts

79 → 6

regimes36.0ms (2%)

Accuracy

Total 0.3b remaining (95.7%)

Threshold costs 0.3b (95.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample895.0ms (51.1%)

Algorithm

1×

intervals

Results

468.0ms	5977×	body	160	valid
234.0ms	2023×	body	320	valid
100.0ms	8000×	pre	80	true

Details

analyze4.0ms (0.2%)

sample34.0ms (2%)

simplify228.0ms (13%)

prune4.0ms (0.2%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series4.0ms (0.2%)

simplify43.0ms (2.5%)

prune100.0ms (5.7%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series3.0ms (0.2%)

simplify47.0ms (2.7%)

prune42.0ms (2.4%)

localize3.0ms (0.2%)

rewrite6.0ms (0.3%)

series3.0ms (0.2%)

simplify42.0ms (2.4%)

prune36.0ms (2.1%)

localize5.0ms (0.3%)

rewrite22.0ms (1.3%)

series15.0ms (0.9%)

simplify35.0ms (2%)

prune113.0ms (6.4%)

regimes36.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample895.0ms (51.1%)

Profiling