Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

sample33.0ms (1.8%)

Algorithm

1×

intervals

Results

18.0ms	192×	body	160	valid
7.0ms	64×	body	320	valid
3.0ms	256×	pre	80	true

simplify301.0ms (16.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (299.0ms)

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:

11.0ms

(+ (* (+ 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 (2.4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5024	1699

prune98.0ms (5.4%)

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

5.0ms

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

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify50.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5043	129

prune39.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b	(* t (sqrt 3.9999999999999997e-32))
0.2b	(* t (* t (sqrt 3.9999999999999997e-32)))
0.3b	(* (sqrt 3.9999999999999997e-32) (* t (* t (sqrt 3.9999999999999997e-32))))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

10.0ms	(* (sqrt 3.9999999999999997e-32) (* t (* t (sqrt 3.9999999999999997e-32))))
5.0ms	(* t (* t (sqrt 3.9999999999999997e-32)))
4.0ms	(* t (sqrt 3.9999999999999997e-32))

series15.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

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

simplify35.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5059	431

prune148.0ms (8.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	71	8	79

Merged error: 0b

Counts

79 → 8

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

4.0ms

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

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify41.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5162	121

prune25.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	21	8	29

Merged error: 0b

Counts

29 → 8

regimes40.0ms (2.2%)

Accuracy

Total 0.3b remaining (96%)

Threshold costs 0.3b (96%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	9	9

end0.0ms (0%)

sample854.0ms (47.5%)

Algorithm

1×

intervals

Results

459.0ms	6060×	body	160	valid
214.0ms	1940×	body	320	valid
98.0ms	8000×	pre	80	true

Details

analyze1.0ms (0.1%)

sample33.0ms (1.8%)

simplify301.0ms (16.7%)

prune4.0ms (0.2%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series4.0ms (0.2%)

simplify43.0ms (2.4%)

prune98.0ms (5.4%)

localize4.0ms (0.2%)

rewrite5.0ms (0.3%)

series3.0ms (0.2%)

simplify50.0ms (2.8%)

prune39.0ms (2.2%)

localize5.0ms (0.3%)

rewrite22.0ms (1.2%)

series15.0ms (0.8%)

simplify35.0ms (1.9%)

prune148.0ms (8.2%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series3.0ms (0.2%)

simplify41.0ms (2.3%)

prune25.0ms (1.4%)

regimes40.0ms (2.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample854.0ms (47.5%)

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