Details

analyze5.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.996948%

sample26.0ms

Algorithm

intervals

Results

20.0ms

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

prune3.0ms

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)))

rewrite50.0ms

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)))))
14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
19.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify93.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (68.0ms)

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

prune337.0ms

Filtered

114 candidates to 188 candidates (-64.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	186	3	189

Merged error: 0b

Counts

189 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(/ 1 (/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 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)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

130×	`times-frac`
100×	`*-un-lft-identity`
89×	`add-exp-log`
83×	`add-cbrt-cube`
76×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
32×	`div-exp`
30×	`prod-exp` `cbrt-unprod`
28×	`cbrt-undiv`
27×	`associate-/r/`
24×	`swap-sqr`
20×	`associate-r` `associate-l`
19×	`pow1`
18×	`associate-/r*`
14×	`flip3-+` `flip-+` `div-inv`
12×	`distribute-lft-out`
6×	`associate-/l*`
4×	`add-log-exp`
2×	`pow2` `frac-times` `rec-exp` `frac-2neg` `pow-plus` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 249

Calls

4 calls:

7.0ms	(/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
7.0ms	(/ 1 (/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 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)))
17.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
7.0ms	(/ 1 (/ (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 1.0 (* (/ (* 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)))
4.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify136.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	877	4722
1	4629	4093
2	5002	4064

prune625.0ms

Filtered

155 candidates to 261 candidates (-68.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	261	3	264

Merged error: 0b

Counts

264 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.1b	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
12.9b	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
48×	`add-exp-log`
42×	`add-cbrt-cube`
40×	`times-frac`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
20×	`unpow-prod-down`
16×	`prod-exp`
15×	`div-exp` `cbrt-unprod`
14×	`cbrt-prod` `associate-/r/`
13×	`cbrt-undiv`
12×	`pow1` `swap-sqr` `distribute-lft-out`
10×	`associate-r` `associate-l`
8×	`flip3-+` `flip-+`
7×	`div-inv`
4×	`associate-/r*` `add-log-exp`
3×	`pow-unpow` `pow-exp` `associate-/l*`
2×	`associate-/l/` `sqr-pow`
1×	`pow2` `frac-times` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

14.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))))
14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
7.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

series18.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))))
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
4.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
4.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

simplify103.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	763	1831
1	3873	1583
2	5002	1532

prune310.0ms

Filtered

101 candidates to 162 candidates (-60.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	162	3	165

Merged error: 0b

Counts

165 → 3

localize14.0ms

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)))
0.1b	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
12.9b	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
76×	`add-cbrt-cube`
58×	`*-un-lft-identity`
48×	`times-frac`
31×	`prod-exp`
30×	`add-sqr-sqrt` `cbrt-unprod`
26×	`add-cube-cbrt` `div-exp`
24×	`cbrt-undiv` `swap-sqr`
20×	`unpow-prod-down` `associate-r` `associate-l` `associate-/r/`
19×	`pow1`
14×	`cbrt-prod` `distribute-lft-out`
10×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `pow-exp`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3`

Counts

4 → 182

Calls

4 calls:

14.0ms	(* (/ (* 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 (/ (* 2.0 t) (+ 1.0 t)) 6)
5.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
4.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 6)
4.0ms	(cbrt (pow (/ (* 2.0 t) (+ 1.0 t)) 6))

simplify85.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	583	1588
1	3048	1243
2	5001	1164

prune455.0ms

Filtered

109 candidates to 194 candidates (-78.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	194	3	197

Merged error: 0b

Counts

197 → 3

regimes85.0ms

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	18	18
1	18	18

end0.0ms

analyze5.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.996948%

sample693.0ms

Algorithm

intervals

Results

601.0ms

8000×

body

valid

Details

analyze5.0ms

sample26.0ms

simplify67.0ms

prune3.0ms

localize9.0ms

rewrite50.0ms

series18.0ms

simplify93.0ms

prune337.0ms

localize10.0ms

rewrite57.0ms

series21.0ms

simplify136.0ms

prune625.0ms

localize12.0ms

rewrite48.0ms

series18.0ms

simplify103.0ms

prune310.0ms

localize14.0ms

rewrite48.0ms

series17.0ms

simplify85.0ms

prune455.0ms

regimes85.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze5.0ms

sample693.0ms

Profiling