Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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	(+ 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

76×	`add-exp-log` `add-cbrt-cube`
48×	`*-un-lft-identity`
40×	`times-frac`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `add-sqr-sqrt` `swap-sqr` `div-exp`
20×	`add-cube-cbrt` `associate-r` `associate-l`
18×	`pow1`
16×	`associate-/r/`
12×	`distribute-lft-out`
10×	`flip3-+` `flip-+`
8×	`div-inv` `add-log-exp`
2×	`+-commutative` `pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

6.0ms	(+ 1.0 (* (/ (* 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))))
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)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ 1.0 (* (/ (* 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))))
53.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
47.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	542	1582
1	2752	1184
2	5001	1142

prune270.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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:

17.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
18.0ms	(* (/ (* 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)))
7.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

series247.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
47.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
65.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	801	1786
1	5001	1538

prune482.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 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)
0.1b	(* (* 2.0 t) (/ (/ (* 2.0 t) (+ 1.0 t)) (+ 1.0 t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

129×	`add-exp-log`
96×	`times-frac`
95×	`*-un-lft-identity`
87×	`add-cbrt-cube`
66×	`associate-r`
53×	`prod-exp`
52×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
40×	`div-exp`
37×	`associate-l`
34×	`cbrt-unprod`
28×	`associate-/r/`
26×	`cbrt-undiv`
25×	`distribute-lft-out`
21×	`unpow-prod-down` `cube-prod`
18×	`pow1`
14×	`flip3-+` `flip-+` `div-inv`
12×	`swap-sqr` `pow-exp`
5×	`unswap-sqr`
4×	`pow-to-exp` `pow-prod-down` `add-log-exp`
3×	`cube-div` `pow-unpow` `associate-r/` `-commutative` `rem-cube-cbrt` `sqr-pow`
2×	`cube-mult` `frac-times` `pow-plus` `unpow3` `associate-*l/` `pow-prod-up`
1×	`pow2` `pow-pow` `pow-sqr`

Counts

4 → 254

Calls

4 calls:

18.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
18.0ms	(* (* 2.0 t) (/ (/ (* 2.0 t) (+ 1.0 t)) (+ 1.0 t)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
54.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
66.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)
48.0ms	(* (* 2.0 t) (/ (/ (* 2.0 t) (+ 1.0 t)) (+ 1.0 t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1188	1883
1	5001	1637

prune551.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ 2.0 (sqrt (+ 1.0 t)))) (/ t (sqrt (+ 1.0 t))))
0.1b	(/ 2.0 (sqrt (+ 1.0 t)))
0.1b	(* (* 2.0 t) (/ (/ (* 2.0 t) (+ 1.0 t)) (+ 1.0 t)))
0.1b	(/ t (sqrt (+ 1.0 t)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity` `times-frac`
105×	`add-exp-log` `add-cbrt-cube`
73×	`associate-r`
69×	`add-sqr-sqrt` `add-cube-cbrt`
44×	`prod-exp` `sqrt-prod` `cbrt-unprod`
33×	`cbrt-undiv` `div-exp`
25×	`distribute-lft-out`
16×	`associate-/r/`
14×	`pow1` `associate-/r*`
8×	`flip3-+` `flip-+` `div-inv`
6×	`sqrt-div` `pow-prod-down` `associate-/l*`
5×	`frac-times` `associate-*l/`
4×	`associate-*r/` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`

Counts

4 → 237

Calls

4 calls:

21.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ 2.0 (sqrt (+ 1.0 t)))) (/ t (sqrt (+ 1.0 t))))
6.0ms	(/ 2.0 (sqrt (+ 1.0 t)))
22.0ms	(* (* 2.0 t) (/ (/ (* 2.0 t) (+ 1.0 t)) (+ 1.0 t)))
6.0ms	(/ t (sqrt (+ 1.0 t)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ 2.0 (sqrt (+ 1.0 t)))) (/ t (sqrt (+ 1.0 t))))
77.0ms	(/ 2.0 (sqrt (+ 1.0 t)))
48.0ms	(* (* 2.0 t) (/ (/ (* 2.0 t) (+ 1.0 t)) (+ 1.0 t)))
117.0ms	(/ t (sqrt (+ 1.0 t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1222	2548
1	5001	1889

prune637.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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

sample325.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid