Details

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify67.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log` `add-cbrt-cube`
56×	`*-un-lft-identity`
49×	`times-frac`
32×	`add-sqr-sqrt`
30×	`prod-exp` `cbrt-unprod`
28×	`add-cube-cbrt`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l`
18×	`pow1` `associate-/r/`
12×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
9×	`div-inv`
6×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 176

Calls

4 calls:

2.0ms	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 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)))))
28.0ms	(* (/ (* 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)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
114.0ms	(/ (+ 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)))))
49.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
47.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	619	2260
1	3084	1819
2	5001	1769

prune316.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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)))
0.1b	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

149×	`add-exp-log` `add-cbrt-cube`
71×	`*-un-lft-identity`
60×	`times-frac` `prod-exp` `cbrt-unprod`
48×	`cbrt-undiv` `div-exp`
36×	`swap-sqr`
35×	`add-sqr-sqrt`
33×	`pow1`
30×	`associate-r` `associate-l`
29×	`add-cube-cbrt`
24×	`associate-/r/`
18×	`distribute-lft-out`
12×	`flip3-+` `flip-+` `div-inv`
10×	`pow-exp` `rem-cube-cbrt`
6×	`pow-pow`
4×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`cube-div` `pow-unpow` `*-commutative` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`

Counts

4 → 246

Calls

4 calls:

28.0ms	(* (/ (* 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)))
28.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

series222.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (/ (* 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)))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
74.0ms	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

simplify92.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	564	1958
1	3094	1547
2	5002	1492

prune575.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms

sample524.0ms

Algorithm

intervals

Results

434.0ms

8000×

body

valid