Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
12.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*r/` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
32.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
13.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 2.30753 (* x 0.27061))
104.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
72.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	441	781
1	1821	736
2	5002	736

prune211.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
12.0b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
74×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`difference-of-squares`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-flip` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

62.0ms	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
10.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
14.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
56.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
58.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify89.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	718	2127
1	3434	1881
2	5001	1875

prune317.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(/ 1 (+ 2.30753 (* x 0.27061)))
0.4b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.5b	(/ (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ 1 (+ 2.30753 (* x 0.27061))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
248×	`add-sqr-sqrt`
246×	`add-cube-cbrt` `*-un-lft-identity`
69×	`associate-/r/`
54×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
22×	`add-cbrt-cube`
21×	`associate-/r` `associate-/l`
10×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num`
2×	`pow-flip` `associate-*r/` `inv-pow`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 375

Calls

4 calls:

10.0ms	(* x (+ 0.99229 (* x 0.04481)))
4.0ms	(/ 1 (+ 2.30753 (* x 0.27061)))
4.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.0ms	(/ (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ 1 (+ 2.30753 (* x 0.27061))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* x (+ 0.99229 (* x 0.04481)))
35.0ms	(/ 1 (+ 2.30753 (* x 0.27061)))
37.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
61.0ms	(/ (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ 1 (+ 2.30753 (* x 0.27061))))

simplify97.0ms

Algorithm

egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1845	6655
1	5002	6116

prune728.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

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	28	11
1	28	11

end0.0ms

sample426.0ms

Algorithm

intervals

Results

323.0ms

8000×

body

valid