Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	17
1	44	17
2	126	17
3	328	17
4	602	17
5	780	17
6	1010	17
7	1482	17
8	5001	17

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

localize8.0ms

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)))

rewrite54.0ms

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×	`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:

6.0ms	(/ (* 2.0 t) (+ 1.0 t))
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)))))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
18.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (* 2.0 t) (+ 1.0 t))
122.0ms	(/ (+ 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)))
52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify101.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	641	2230
1	3358	1791
2	5002	1752

prune364.0ms

Filtered

202 candidates to 122 candidates (60.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	1	203

Merged error: 0b

Counts

203 → 1

localize16.0ms

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))))

rewrite48.0ms

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`
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 → 154

Calls

4 calls:

5.0ms	(exp (/ (* 2.0 t) (+ 1.0 t)))
16.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (log (exp (/ (* 2.0 t) (+ 1.0 t)))))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
6.0ms	(log (exp (/ (* 2.0 t) (+ 1.0 t))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp (/ (* 2.0 t) (+ 1.0 t)))
50.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (log (exp (/ (* 2.0 t) (+ 1.0 t)))))
47.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
43.0ms	(log (exp (/ (* 2.0 t) (+ 1.0 t))))

simplify75.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	650	1363
1	2982	1094
2	5003	1035

prune342.0ms

Filtered

166 candidates to 110 candidates (66.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	166	1	167

Merged error: 0b

Counts

167 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms

sample299.0ms

Algorithm

intervals

Results

218.0ms

8000×

body

valid