Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	67×	body	640	valid
4.0ms	125×	body	80	valid
3.0ms	19×	body	1280	valid
2.0ms	31×	body	320	valid
1.0ms	14×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
3.0b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
20×	`times-frac`
14×	`add-sqr-sqrt`
10×	`distribute-lft-out--`
9×	`distribute-lft-out` `add-log-exp`
4×	`difference-of-squares`
3×	`frac-add`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-+l+` `flip3--` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 44

Calls

2 calls:

59.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
277.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series239.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
197.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify116.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	303	486
1	914	462
2	4632	451
3	5001	451

prune100.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
17.5b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

7.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
93.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
45.0ms	(* (* (+ x 1.0) x) (- x 1.0))
28.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series209.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
81.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
88.0ms	(* (* (+ x 1.0) x) (- x 1.0))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	997	2264
1	5001	2129

prune419.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

20.0ms	(* (+ x 1.0) x)
34.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))
45.0ms	(* (* (+ x 1.0) x) (- x 1.0))

series209.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ x 1.0) x)
80.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))
86.0ms	(* (* (+ x 1.0) x) (- x 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	430	600
1	2216	516
2	5001	515

prune152.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x 3) (* 1.0 x))
0.1b	(/ 2.0 (- (pow x 3) (* 1.0 x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-out--` `unpow3`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 46

Calls

2 calls:

17.0ms	(- (pow x 3) (* 1.0 x))
25.0ms	(/ 2.0 (- (pow x 3) (* 1.0 x)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(- (pow x 3) (* 1.0 x))
63.0ms	(/ 2.0 (- (pow x 3) (* 1.0 x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	220	357
1	772	329
2	2959	326
3	5001	326

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample620.0ms

Algorithm

intervals

Results

194.0ms	1845×	body	640	valid
117.0ms	4078×	body	80	valid
84.0ms	608×	body	1280	valid
80.0ms	973×	body	320	valid
26.0ms	497×	body	160	valid