Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (20.0ms)

Iter	Nodes	Cost
0	20	17
1	46	17
2	128	17
3	340	17
4	662	17
5	897	15
6	1179	15
7	1753	15
8	5001	15

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize11.0ms

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

Algorithm

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 198

Calls

4 calls:

6.0ms	(/ (* 2.0 t) (+ 1.0 t))
8.0ms	(/ (+ 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)))))
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)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* 2.0 t) (+ 1.0 t))
117.0ms	(/ (+ 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)))))
46.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify105.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	659	2306
1	3455	1849
2	5001	1815

prune352.0ms

Filtered

210 candidates to 132 candidates (62.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	1	211

Merged error: 0b

Counts

211 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (log (exp (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
1.8b	(log (exp (/ (* 2.0 t) (+ 1.0 t))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
46×	`*-un-lft-identity`
36×	`times-frac`
30×	`exp-prod`
28×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-r`
22×	`log-pow`
20×	`associate-l`
19×	`prod-exp` `cbrt-unprod`
16×	`associate-/r/`
15×	`pow1`
14×	`cbrt-undiv` `div-exp`
12×	`swap-sqr`
10×	`distribute-lft-out`
9×	`log-prod`
8×	`flip3-+` `flip-+` `div-inv`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow2` `frac-times` `pow-plus` `associate-*r/` `rem-log-exp` `pow-sqr` `pow-prod-up` `rem-exp-log`

Counts

4 → 162

Calls

4 calls:

5.0ms	(exp (/ (* 2.0 t) (+ 1.0 t)))
17.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (log (exp (/ (* 2.0 t) (+ 1.0 t)))))
18.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
6.0ms	(log (exp (/ (* 2.0 t) (+ 1.0 t))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(exp (/ (* 2.0 t) (+ 1.0 t)))
49.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (log (exp (/ (* 2.0 t) (+ 1.0 t)))))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
38.0ms	(log (exp (/ (* 2.0 t) (+ 1.0 t))))

simplify81.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	667	1417
1	3059	1140
2	5001	1081

prune377.0ms

Filtered

174 candidates to 118 candidates (67.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	1	175

Merged error: 0b

Counts

175 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

sample316.0ms

Algorithm

intervals

Results

221.0ms

8000×

body

valid