Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify66.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite92.0ms

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))
11.0ms	(/ (+ 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)))))
31.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
35.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* 2.0 t) (+ 1.0 t))
119.0ms	(/ (+ 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)))))
51.0ms	(* (/ (* 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)))

simplify93.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (73.0ms)

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

prune323.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-exp-log` `add-cbrt-cube`
85×	`*-un-lft-identity`
82×	`times-frac`
65×	`add-sqr-sqrt`
54×	`associate-r`
47×	`prod-exp` `cbrt-unprod`
43×	`add-cube-cbrt`
37×	`cbrt-undiv` `div-exp`
36×	`swap-sqr` `associate-l`
27×	`pow1`
26×	`associate-/r/`
18×	`distribute-lft-out`
17×	`sqrt-prod`
15×	`flip3-+` `flip-+`
13×	`div-inv`
9×	`unswap-sqr`
5×	`frac-times` `associate-*l/`
4×	`sqrt-div` `associate-r/` `pow-prod-down` `-commutative` `add-log-exp`
3×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 255

Calls

4 calls:

26.0ms	(* (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (/ (sqrt (+ 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))))))
30.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
32.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
30.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (/ (sqrt (+ 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))))))
51.0ms	(* (/ (* 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)))
46.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify108.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	725	3719
1	3687	2909
2	5001	2830

prune495.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms

sample308.0ms

Algorithm

intervals

Results

225.0ms

8000×

body

valid