Details

sample16.0ms

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

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

localize11.0ms

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))))
8.0ms	(/ (+ 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)))))
16.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
126.0ms	(/ (+ 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)))))
49.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
54.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify96.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (70.0ms)

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

prune268.0ms

Filtered

188 candidates to 114 candidates (60.6%)

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

localize11.0ms

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	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b	(* (sqrt (/ (+ 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)))))) (sqrt (/ (+ 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)))))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

114×	`add-exp-log` `add-cbrt-cube`
102×	`*-un-lft-identity` `times-frac`
94×	`add-sqr-sqrt`
74×	`sqrt-prod`
60×	`add-cube-cbrt`
56×	`swap-sqr`
48×	`associate-r` `associate-l`
46×	`prod-exp` `cbrt-unprod`
40×	`pow1`
36×	`cbrt-undiv` `div-exp`
32×	`associate-/r/`
18×	`distribute-lft-out`
16×	`flip3-+` `flip-+` `div-inv`
12×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `pow-prod-up`
6×	`pow-prod-down` `pow-sqr`
4×	`pow2` `frac-times` `pow-plus` `sqrt-div` `associate-r/` `associate-l/` `*-commutative` `add-log-exp`
1×	`sqrt-unprod` `rem-square-sqrt`

Counts

4 → 294

Calls

4 calls:

19.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
20.0ms	(* (sqrt (/ (+ 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)))))) (sqrt (/ (+ 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)))))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
53.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
53.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
127.0ms	(* (sqrt (/ (+ 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)))))) (sqrt (/ (+ 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)))))))

simplify141.0ms

Algorithm

egg-herbie

Counts

306 → 306

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	686	4959
1	3706	4180
2	5003	4027

prune551.0ms

Filtered

306 candidates to 169 candidates (55.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	306	3	309

Merged error: 0b

Counts

309 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))
0.6b	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
41×	`add-exp-log`
40×	`add-cbrt-cube`
39×	`unpow-prod-down`
34×	`exp-prod`
32×	`times-frac`
30×	`sqrt-prod`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`log-pow`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1` `associate-/r/`
12×	`cbrt-undiv` `swap-sqr` `div-exp`
10×	`associate-r` `associate-l`
9×	`distribute-lft-out`
7×	`flip3-+` `flip-+` `div-inv`
5×	`add-log-exp`
3×	`pow-unpow` `log-prod` `pow-pow` `sqr-pow`
1×	`pow2` `frac-times` `pow-to-exp` `sqrt-pow1` `pow-plus` `pow1/2` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2` `rem-exp-log` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

8.0ms	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
16.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
9.0ms	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))
12.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

series731.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
205.0ms	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))
206.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

simplify102.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	778	1380
1	3593	1107
2	5002	1063

prune390.0ms

Filtered

163 candidates to 108 candidates (66.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	163	3	166

Merged error: 0b

Counts

166 → 3

localize9.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (+ (* 1.0 (pow t 2)) 0.5) (* 2.0 (pow t 3)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

7.0ms

(- (+ (* 1.0 (pow t 2)) 0.5) (* 2.0 (pow t 3)))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(- (+ (* 1.0 (pow t 2)) 0.5) (* 2.0 (pow t 3)))

simplify112.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	105	155
1	444	141
2	2883	134
3	5002	134

prune32.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	17	3	20

Merged error: 0b

Counts

20 → 3

regimes64.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	16	37

end0.0ms

sample357.0ms

Algorithm

intervals

Results

265.0ms

8000×

body

valid