Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify115.0ms

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

localize12.0ms

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)))
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite30.0ms

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:

3.0ms	(+ 2.30753 (* x 0.27061))
13.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 2.30753 (* x 0.27061))
84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (10.0ms)

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

prune205.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.7b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
7×	`pow1` `flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `associate-*r/` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

6.0ms	(* x (+ 0.99229 (* x 0.04481)))
11.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series264.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (+ 0.99229 (* x 0.04481)))
83.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
62.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
54.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify90.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	675	1949
1	3285	1824
2	5001	1812

prune355.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
0.3b	(pow (* x 0.27061) 3)
14.1b	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
20.6b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
74×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
16×	`sum-cubes` `distribute-lft-out`
12×	`pow1` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `pow-pow` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `unpow3` `cube-prod` `associate-l` `*-commutative` `flip--` `sqr-pow`

Counts

4 → 189

Calls

4 calls:

8.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
4.0ms	(pow (* x 0.27061) 3)
25.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
46.0ms	(pow (* x 0.27061) 3)
101.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
67.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)))

simplify145.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	859	4006
1	4286	3812
2	5003	3812

prune705.0ms

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	26	11
1	26	11

end0.0ms

sample361.0ms

Algorithm

intervals

Results

269.0ms

8000×

body

valid