Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample30.0ms (1.3%)

Algorithm

1×

intervals

Results

24.0ms

256×

body

valid

simplify53.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5007	35

prune5.0ms (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: 0.0b

Counts

2 → 1

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite53.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-exp-log` `add-cbrt-cube`
62×	`*-un-lft-identity`
53×	`times-frac`
34×	`add-sqr-sqrt`
31×	`prod-exp` `cbrt-unprod`
30×	`add-cube-cbrt`
27×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l` `associate-/r/`
18×	`pow1`
14×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
10×	`div-inv`
7×	`associate-/r*`
4×	`associate-/l*` `add-log-exp`
2×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`

Counts

4 → 190

Calls

4 calls:

15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
9.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
6.0ms	(/ (* 2.0 t) (+ 1.0 t))

series20.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
7.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(/ (* 2.0 t) (+ 1.0 t))

simplify56.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5014	3080

prune604.0ms (26.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	200	3	203

Merged error: 0.0b

Counts

203 → 3

localize17.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (/ (* 2.0 t) (+ t 1.0))) 4)
0.8b	(cbrt (/ (* 2.0 t) (+ t 1.0)))
0.8b	(cbrt (/ (* 2.0 t) (+ t 1.0)))
0.8b	(cbrt (/ (* 2.0 t) (+ t 1.0)))

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`cbrt-prod`
22×	`*-un-lft-identity`
16×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`unpow-prod-down`
8×	`associate-/r/`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `cbrt-div`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

6.0ms	(pow (cbrt (/ (* 2.0 t) (+ t 1.0))) 4)
5.0ms	(cbrt (/ (* 2.0 t) (+ t 1.0)))
5.0ms	(cbrt (/ (* 2.0 t) (+ t 1.0)))
5.0ms	(cbrt (/ (* 2.0 t) (+ t 1.0)))

series54.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (cbrt (/ (* 2.0 t) (+ t 1.0))) 4)
12.0ms	(cbrt (/ (* 2.0 t) (+ t 1.0)))
10.0ms	(cbrt (/ (* 2.0 t) (+ t 1.0)))
10.0ms	(cbrt (/ (* 2.0 t) (+ t 1.0)))

simplify38.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5086	1392

prune385.0ms (16.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(* (* t t) (- 1.0 (* 2.0 t)))

rewrite8.0ms (0.4%)

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` `sub-neg` `-un-lft-identity` `associate-r/`
1×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-l` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

7.0ms

(* (* t t) (- 1.0 (* 2.0 t)))

series9.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (* t t) (- 1.0 (* 2.0 t)))

simplify58.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4915	272
1	4915	272

prune36.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

regimes122.0ms (5.3%)

Accuracy

Total 0.0b remaining (9.3%)

Threshold costs 0.0b (9.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	14	35

end0.0ms (0%)

sample711.0ms (30.9%)

Algorithm

1×

intervals

Results

619.0ms

8000×

body

valid

Details

analyze5.0ms (0.2%)

sample30.0ms (1.3%)

simplify53.0ms (2.3%)

prune5.0ms (0.2%)

localize9.0ms (0.4%)

rewrite53.0ms (2.3%)

series20.0ms (0.9%)

simplify56.0ms (2.4%)

prune604.0ms (26.2%)

localize17.0ms (0.7%)

rewrite23.0ms (1%)

series54.0ms (2.3%)

simplify38.0ms (1.6%)

prune385.0ms (16.7%)

localize7.0ms (0.3%)

rewrite8.0ms (0.4%)

series9.0ms (0.4%)

simplify58.0ms (2.5%)

prune36.0ms (1.5%)

regimes122.0ms (5.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample711.0ms (30.9%)

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