Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify68.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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

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 (* (/ (* 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)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (+ 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)))))
48.0ms	(+ 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)))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify95.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	628	2260
1	3153	1815
2	5001	1770

prune250.0ms

Filtered

188 candidates to 114 candidates (60.6%)

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

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

rewrite70.0ms

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:

15.0ms	(* (/ (* 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)))
18.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
8.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

series238.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
46.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
79.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
63.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

simplify49.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	801	1786
1	5001	1538

prune411.0ms

Filtered

259 candidates to 135 candidates (52.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	259	3	262

Merged error: 0b

Counts

262 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(+ 2.0 (pow (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4) 1))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.6b	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
40×	`add-cbrt-cube`
38×	`*-un-lft-identity`
28×	`times-frac`
21×	`add-sqr-sqrt`
20×	`sqrt-prod`
18×	`add-cube-cbrt`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1`
13×	`unpow-prod-down`
12×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-/r/`
10×	`associate-r` `associate-l`
9×	`distribute-lft-out`
7×	`flip3-+` `flip-+`
6×	`div-inv` `add-log-exp`
3×	`pow-unpow` `pow-pow`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `pow2` `frac-times` `pow-to-exp` `rem-sqrt-square` `pow-plus` `sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2` `unswap-sqr` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

5.0ms	(sqrt (/ (* 2.0 t) (+ 1.0 t)))
11.0ms	(+ 2.0 (pow (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4) 1))
19.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

series487.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(sqrt (/ (* 2.0 t) (+ 1.0 t)))
137.0ms	(+ 2.0 (pow (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4) 1))
52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
197.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

simplify105.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	824	1214
1	3924	985
2	5002	942

prune307.0ms

Filtered

142 candidates to 93 candidates (65.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

regimes56.0ms

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

sample328.0ms

Algorithm

intervals

Results

235.0ms

8000×

body

valid

Details

sample18.0ms

simplify68.0ms

prune2.0ms

localize8.0ms

rewrite47.0ms

series268.0ms

simplify95.0ms

prune250.0ms

localize15.0ms

rewrite70.0ms

series238.0ms

simplify49.0ms

prune411.0ms

localize15.0ms

rewrite49.0ms

series487.0ms

simplify105.0ms

prune307.0ms

regimes56.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample328.0ms

Profiling