Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify120.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
131.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
16.0ms	(* x (+ 0.99229 (* x 0.04481)))
24.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 0.99229 (* x 0.04481))
90.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
52.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	512	893
1	2220	827
2	5001	827

prune228.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
15.1b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

194.0ms	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
15.0ms	(* x (+ 0.99229 (* x 0.04481)))
19.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
33.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* 0.70711 (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
52.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify97.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	804	2202
1	3892	1937
2	5002	1934

prune353.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt 0.70711) (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
0.1b	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)))
0.2b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
15.1b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 181

Calls

4 calls:

193.0ms	(* (sqrt 0.70711) (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
168.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)))
19.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
33.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (sqrt 0.70711) (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x))
136.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)))
56.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
53.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify93.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	812	2677
1	3852	2325
2	5001	2322

prune395.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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	27	10
1	27	10

end0.0ms

sample383.0ms

Algorithm

intervals

Results

263.0ms

8000×

body

valid