Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	14
1	37	14
2	84	14
3	252	14
4	623	14
5	1413	14
6	3814	14
7	5001	14

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
1.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`flip3--` `flip--`
4×	`frac-times` `sub-neg`
3×	`associate-/l/`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num` `associate-/r/` `div-inv`
1×	`pow2` `flip3-+` `-commutative` `flip-+` `associate-/l`

Counts

4 → 31

Calls

4 calls:

4.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
5.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
2.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
65.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
48.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
45.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify146.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	244	515
1	811	500
2	4415	482
3	5001	482

prune90.0ms

Filtered

43 candidates to 28 candidates (65.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	1	44

Merged error: 0b

Counts

44 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ 1 (* (+ 1.0 (/ 1.0 t)) (/ t 2.0)))))
0.1b	(* (+ 1.0 (/ 1.0 t)) (/ t 2.0))
1.8b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
8.4b	(- 2.0 (/ 1 (* (+ 1.0 (/ 1.0 t)) (/ t 2.0))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`frac-times`
8×	`flip3--` `flip--`
5×	`associate-*r/`
4×	`sub-neg` `flip3-+` `associate-*l/` `clear-num` `flip-+`
3×	`frac-2neg`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
1×	`associate-r` `un-div-inv` `div-inv`

Counts

4 → 35

Calls

4 calls:

5.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ 1 (* (+ 1.0 (/ 1.0 t)) (/ t 2.0)))))
5.0ms	(* (+ 1.0 (/ 1.0 t)) (/ t 2.0))
2.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.0ms	(- 2.0 (/ 1 (* (+ 1.0 (/ 1.0 t)) (/ t 2.0))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ 1 (* (+ 1.0 (/ 1.0 t)) (/ t 2.0)))))
67.0ms	(* (+ 1.0 (/ 1.0 t)) (/ t 2.0))
50.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
48.0ms	(- 2.0 (/ 1 (* (+ 1.0 (/ 1.0 t)) (/ t 2.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	309	557
1	1366	547
2	5002	532

prune131.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	1	48

Merged error: 0b

Counts

48 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	15
1	23	15

end0.0ms

sample406.0ms

Algorithm

intervals

Results

309.0ms

8000×

body

valid