Details

analyze5.0ms

Algorithm: search

sample27.0ms

Algorithm

intervals

Results

20.0ms

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

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 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)))

rewrite53.0ms

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))
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)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* 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)))

simplify102.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (76.0ms)

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

prune376.0ms

Filtered

122 candidates to 202 candidates (-65.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	2	203

Merged error: 0b

Counts

203 → 2

localize19.0ms

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

853×	`add-exp-log` `add-cbrt-cube`
445×	`prod-exp` `cbrt-unprod`
276×	`cbrt-undiv` `div-exp`
137×	`pow1`
49×	`*-un-lft-identity`
40×	`times-frac`
39×	`pow-prod-up`
26×	`pow-prod-down`
25×	`add-sqr-sqrt` `swap-sqr` `pow-sqr`
21×	`add-cube-cbrt` `pow-plus` `associate-r` `associate-l`
20×	`frac-times`
16×	`pow2` `associate-/r/`
14×	`associate-r/` `associate-l/`
12×	`distribute-lft-out`
10×	`pow-exp` `rem-cube-cbrt`
8×	`flip3-+` `flip-+` `div-inv`
6×	`pow-pow`
4×	`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 → 449

Calls

4 calls:

17.0ms	(* (/ (* 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)))
30.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
14.0ms	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 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)))
12.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
4.0ms	(pow (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) 3)

simplify81.0ms

Algorithm

egg-herbie

Counts

461 → 461

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1434	5924
1	5001	2464

prune859.0ms

Filtered

117 candidates to 461 candidates (-294.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	461	0	461
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	461	2	463

Merged error: 0b

Counts

463 → 2

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-exp-log`
91×	`add-cbrt-cube`
70×	`*-un-lft-identity`
60×	`times-frac`
54×	`prod-exp`
46×	`associate-l`
43×	`add-sqr-sqrt`
42×	`div-exp`
35×	`cbrt-unprod`
32×	`add-cube-cbrt`
30×	`associate-r`
28×	`cbrt-undiv`
26×	`associate-/r/`
24×	`swap-sqr`
21×	`unpow-prod-down` `cube-prod`
20×	`pow1`
17×	`distribute-lft-out`
13×	`flip3-+` `flip-+` `div-inv`
12×	`pow-exp`
6×	`unswap-sqr`
4×	`pow-to-exp` `add-log-exp`
3×	`cube-div` `frac-times` `pow-unpow` `pow-plus` `associate-r/` `associate-l/` `*-commutative` `pow-prod-up` `rem-cube-cbrt` `sqr-pow`
2×	`pow2` `cube-mult` `unpow3` `pow-prod-down` `pow-sqr`
1×	`pow-pow`

Counts

4 → 247

Calls

4 calls:

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)))
19.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 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)))
5.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
4.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	801	1786
1	5001	1538

prune600.0ms

Filtered

135 candidates to 259 candidates (-91.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	259	2	261

Merged error: 0b

Counts

261 → 2

regimes86.0ms

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	26	46
1	26	46

end0.0ms

analyze5.0ms

Algorithm: search

sample759.0ms

Algorithm

intervals

Results

657.0ms

8000×

body

valid

Details

analyze5.0ms

sample27.0ms

simplify66.0ms

prune3.0ms

localize9.0ms

rewrite53.0ms

series17.0ms

simplify102.0ms

prune376.0ms

localize19.0ms

rewrite115.0ms

series24.0ms

simplify81.0ms

prune859.0ms

localize15.0ms

rewrite64.0ms

series15.0ms

simplify50.0ms

prune600.0ms

regimes86.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze5.0ms

sample759.0ms

Profiling