Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify65.0ms

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

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

3.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 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)))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
155.0ms	(/ (+ 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)))))
63.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
65.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify88.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	628	2260
1	3153	1815
2	5002	1770

prune749.0ms

Filtered

188 candidates to 114 candidates (39.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	3	189

Merged error: 0b

Counts

189 → 3

localize12.0ms

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)))
0.4b	(pow (/ (+ 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))))) 3)
1.0b	(cbrt (pow (/ (+ 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))))) 3))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log` `add-cbrt-cube`
78×	`*-un-lft-identity`
76×	`times-frac`
54×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod` `prod-exp` `cbrt-unprod`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr` `associate-/r/`
20×	`associate-r` `associate-l`
19×	`pow1`
12×	`flip3-+` `flip-+` `div-inv` `distribute-lft-out`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `pow2` `cube-mult` `frac-times` `pow-plus` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 230

Calls

4 calls:

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)))
7.0ms	(pow (/ (+ 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))))) 3)
7.0ms	(cbrt (pow (/ (+ 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))))) 3))

series473.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
63.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
188.0ms	(pow (/ (+ 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))))) 3)
157.0ms	(cbrt (pow (/ (+ 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))))) 3))

simplify125.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	834	4300
1	4263	3745
2	5001	3711

prune1.4s

Filtered

242 candidates to 122 candidates (49.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	242	3	245

Merged error: 0b

Counts

245 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 t) (+ 1.0 t))
0.0b	(/ (+ 1.0 (/ (* (* 2.0 t) (* 2.0 t)) (* (+ 1.0 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)))
12.4b	(/ (* (* 2.0 t) (* 2.0 t)) (* (+ 1.0 t) (+ 1.0 t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log` `add-cbrt-cube`
61×	`*-un-lft-identity`
37×	`prod-exp` `cbrt-unprod`
33×	`times-frac`
29×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
23×	`cbrt-undiv` `div-exp`
18×	`pow1` `flip3-+` `swap-sqr` `associate-/r/` `flip-+`
16×	`distribute-lft-out`
14×	`associate-r` `associate-l`
9×	`frac-times`
6×	`div-inv`
5×	`associate-r/` `associate-l/` `associate-/l*`
4×	`associate-/r*` `add-log-exp`
2×	`pow2` `frac-2neg` `pow-plus` `pow-prod-down` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 183

Calls

4 calls:

8.0ms	(* (+ 1.0 t) (+ 1.0 t))
11.0ms	(/ (+ 1.0 (/ (* (* 2.0 t) (* 2.0 t)) (* (+ 1.0 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) (* 2.0 t)) (* (+ 1.0 t) (+ 1.0 t)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ 1.0 t) (+ 1.0 t))
153.0ms	(/ (+ 1.0 (/ (* (* 2.0 t) (* 2.0 t)) (* (+ 1.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
62.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
65.0ms	(/ (* (* 2.0 t) (* 2.0 t)) (* (+ 1.0 t) (+ 1.0 t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	925	2123
1	5002	1805

prune980.0ms

Filtered

195 candidates to 103 candidates (47.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	195	3	198

Merged error: 0b

Counts

198 → 3

regimes110.0ms

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

sample398.0ms

Algorithm

intervals

Results

267.0ms

8000×

body

valid

Details

sample19.0ms

simplify65.0ms

prune7.0ms

localize9.0ms

rewrite47.0ms

series347.0ms

simplify88.0ms

prune749.0ms

localize12.0ms

rewrite55.0ms

series473.0ms

simplify125.0ms

prune1.4s

localize13.0ms

rewrite57.0ms

series301.0ms

simplify49.0ms

prune980.0ms

regimes110.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample398.0ms

Profiling