Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify92.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
0.0b	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
2.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
2.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
27×	`times-frac`
18×	`difference-of-squares`
16×	`add-cube-cbrt`
11×	`pow1`
9×	`swap-sqr`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
7×	`associate-r` `associate-l`
4×	`frac-times` `sub-neg`
3×	`associate-/r` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

45.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
4.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
19.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
20.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
109.0ms	(/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
45.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
49.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	441	1821
1	1812	1700
2	5002	1639

prune217.0ms

Filtered

124 candidates to 88 candidates (71.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	1	125

Merged error: 0b

Counts

125 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))))
0.0b	(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))
0.1b	(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6)
2.7b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
14×	`unpow-prod-down`
11×	`cbrt-prod`
9×	`difference-of-squares`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`associate-/r*` `distribute-lft-out`
3×	`pow-unpow` `associate-/l*` `distribute-lft-out--`
2×	`associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `diff-log` `div-exp` `pow-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 89

Calls

4 calls:

29.0ms	(/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))))
20.0ms	(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))
22.0ms	(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6)
19.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ 1.0 (+ 2.0 (cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))))
65.0ms	(cbrt (pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6))
88.0ms	(pow (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) 6)
46.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	439	1168
1	1482	1102
2	5002	1085

prune202.0ms

Filtered

101 candidates to 73 candidates (72.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	1	102

Merged error: 0b

Counts

102 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample445.0ms

Algorithm

intervals

Results

354.0ms

8000×

body

valid