Details

sample32.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize8.0ms

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)))

rewrite44.0ms

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	(+ 1.0 (* (/ (* 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)))))
14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ 1.0 (* (/ (* 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)))))
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
6.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (67.0ms)

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

prune333.0ms

Filtered

188 candidates to 115 candidates (38.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	4	189

Merged error: 0b

Counts

189 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(/ (/ (- (/ (* 1.0 1.0) 1) (/ (pow (/ (* 2.0 t) (+ 1.0 t)) 4) 1)) (- 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	(/ (- (/ (* 1.0 1.0) 1) (/ (pow (/ (* 2.0 t) (+ 1.0 t)) 4) 1)) (- 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 4)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

1546×	`times-frac`
1213×	`add-sqr-sqrt`
676×	`*-un-lft-identity`
572×	`difference-of-squares`
282×	`add-cube-cbrt`
136×	`unpow-prod-down` `associate-/l*`
127×	`sqr-pow`
53×	`add-exp-log` `div-inv`
47×	`add-cbrt-cube`
22×	`associate-/r/`
21×	`distribute-rgt-out--` `distribute-lft-out--`
18×	`div-exp`
16×	`cbrt-undiv` `prod-exp`
15×	`cbrt-unprod`
12×	`pow1` `swap-sqr`
10×	`associate-r` `associate-l`
7×	`associate-/r*` `distribute-lft-out`
6×	`flip3--` `flip3-+` `flip--` `flip-+`
5×	`associate-/l/`
4×	`add-log-exp`
3×	`pow-unpow` `div-sub` `pow-exp`
2×	`frac-2neg` `clear-num`
1×	`pow2` `frac-times` `pow-to-exp` `pow-pow` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub` `sub-div` `unswap-sqr`

Counts

4 → 707

Calls

4 calls:

17.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
45.0ms	(/ (/ (- (/ (* 1.0 1.0) 1) (/ (pow (/ (* 2.0 t) (+ 1.0 t)) 4) 1)) (- 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)))))
33.0ms	(/ (- (/ (* 1.0 1.0) 1) (/ (pow (/ (* 2.0 t) (+ 1.0 t)) 4) 1)) (- 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
7.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 4)

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
11.0ms	(/ (/ (- (/ (* 1.0 1.0) 1) (/ (pow (/ (* 2.0 t) (+ 1.0 t)) 4) 1)) (- 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)))))
8.0ms	(/ (- (/ (* 1.0 1.0) 1) (/ (pow (/ (* 2.0 t) (+ 1.0 t)) 4) 1)) (- 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
4.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 4)

simplify271.0ms

Algorithm

egg-herbie

Counts

719 → 719

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	3170	27034
1	5001	24665

prune3.9s

Filtered

719 candidates to 355 candidates (50.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	718	1	719
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	720	3	723

Merged error: 0b

Counts

723 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
0.0b	(* (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (- (* 2.0 2.0) (* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t))))) (- 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-exp-log`
60×	`add-cbrt-cube`
56×	`*-un-lft-identity`
51×	`associate-l`
50×	`times-frac`
47×	`add-sqr-sqrt`
41×	`prod-exp`
32×	`add-cube-cbrt`
31×	`div-exp`
24×	`associate-r`
22×	`cbrt-unprod`
21×	`unpow-prod-down` `cube-prod`
20×	`associate-/r/`
17×	`cbrt-undiv`
15×	`pow1`
12×	`swap-sqr` `pow-exp`
11×	`distribute-lft-out`
10×	`div-inv`
9×	`flip3-+` `flip-+`
7×	`unswap-sqr`
4×	`frac-times` `pow-to-exp` `associate-*r/` `add-log-exp`
3×	`cube-div` `pow-unpow` `flip3--` `associate-l/` `-commutative` `flip--` `rem-cube-cbrt` `sqr-pow`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `distribute-lft-in` `pow-plus` `unpow3` `pow-prod-down` `pow-prod-up`
1×	`pow2` `pow-pow` `pow-sqr` `difference-of-squares`

Counts

4 → 223

Calls

4 calls:

14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
11.0ms	(* (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (- (* 2.0 2.0) (* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t))))) (- 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
20.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
11.0ms	(* (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (- (* 2.0 2.0) (* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t))))) (- 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
5.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1101	2882
1	5002	2523

prune665.0ms

Filtered

235 candidates to 136 candidates (42.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	235	3	238

Merged error: 0b

Counts

238 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 2)
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 2)
0.0b	(/ 1 (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 2.0))
0.5b	(* (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 1.0) (/ 1 (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
34×	`times-frac`
29×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`unpow-prod-down`
18×	`associate-r`
11×	`add-cbrt-cube`
10×	`distribute-lft-out`
9×	`pow1`
8×	`div-exp` `associate-/r/`
6×	`pow-unpow` `flip3-+` `pow-exp` `prod-exp` `flip-+`
4×	`associate-l` `associate-/r*` `div-inv` `add-log-exp`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `pow-to-exp` `rec-exp` `pow-pow` `1-exp` `associate-*l/` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 137

Calls

4 calls:

7.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 2)
6.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 2)
10.0ms	(/ 1 (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 2.0))
23.0ms	(* (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 1.0) (/ 1 (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 2.0)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 2)
3.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 2)
6.0ms	(/ 1 (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 2.0))
7.0ms	(* (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 1.0) (/ 1 (+ (pow (/ (* 2.0 t) (+ 1.0 t)) 2) 2.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	563	1457
1	2499	1297
2	5001	1260

prune422.0ms

Filtered

149 candidates to 89 candidates (40.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	149	3	152

Merged error: 0b

Counts

152 → 3

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	26
1	23	26

end0.0ms

sample750.0ms

Algorithm

intervals

Results

603.0ms

8000×

body

valid

Details

sample32.0ms

simplify68.0ms

prune3.0ms

localize8.0ms

rewrite44.0ms

series20.0ms

simplify89.0ms

prune333.0ms

localize16.0ms

rewrite168.0ms

series25.0ms

simplify271.0ms

prune3.9s

localize15.0ms

rewrite60.0ms

series22.0ms

simplify62.0ms

prune665.0ms

localize11.0ms

rewrite50.0ms

series20.0ms

simplify71.0ms

prune422.0ms

regimes59.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample750.0ms

Profiling