Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	278×	body	80	valid
8.0ms	271×	body	80	nan

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	7
9	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
155.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
12.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (sqrt x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
71.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))
46.0ms	(* 3.0 (sqrt x))

simplify70.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484

prune237.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ 1 x) (/ 1.0 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ 1 x) (/ 1.0 9.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
33×	`add-exp-log`
26×	`*-un-lft-identity`
25×	`times-frac`
24×	`associate-r`
23×	`add-cbrt-cube`
22×	`add-cube-cbrt`
17×	`associate-l`
13×	`pow1`
12×	`prod-exp`
8×	`div-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative`
2×	`sub-neg` `rec-exp` `1-exp` `associate--l+` `div-inv`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `associate-*l/` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

6.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
64.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
10.0ms	(* 3.0 (sqrt x))
25.0ms	(* (/ 1 x) (/ 1.0 9.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (* (/ 1 x) (/ 1.0 9.0)))
74.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 x) (/ 1.0 9.0))) 1.0))
40.0ms	(* 3.0 (sqrt x))
18.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	680	801
1	3353	677
2	5001	667

prune323.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (/ 1.0 9.0) x) y)
0.1b	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
0.3b	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
0.4b	(/ (/ 1.0 9.0) x)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
6×	`add-log-exp`
5×	`div-inv`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r*` `sqrt-prod`
2×	`sub-neg` `flip3--` `associate-l/` `associate--l+` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `associate-/l/` `difference-of-squares` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

37.0ms	(+ (/ (/ 1.0 9.0) x) y)
473.0ms	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
542.0ms	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
15.0ms	(/ (/ 1.0 9.0) x)

series152.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (/ (/ 1.0 9.0) x) y)
36.0ms	(* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0))
68.0ms	(* (* 3.0 (- (+ (/ (/ 1.0 9.0) x) y) 1.0)) (sqrt x))
20.0ms	(/ (/ 1.0 9.0) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	642	971
1	2784	894
2	5001	894

prune442.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x))) 3.0)
0.0b	(+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x)))
0.3b	(* 0.3333333333333333 (/ 1 x))
0.3b	(* (- (+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x))) 3.0) (sqrt x))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-r`
15×	`add-exp-log` `add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube` `add-log-exp`
8×	`pow1` `associate-l`
5×	`prod-exp` `unswap-sqr`
4×	`sqrt-prod`
3×	`cbrt-unprod`
2×	`flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `associate--l+` `un-div-inv` `flip-+` `div-inv`

Counts

4 → 89

Calls

4 calls:

38.0ms	(- (+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x))) 3.0)
8.0ms	(+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x)))
15.0ms	(* 0.3333333333333333 (/ 1 x))
113.0ms	(* (- (+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x))) 3.0) (sqrt x))

series179.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x))) 3.0)
39.0ms	(+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x)))
19.0ms	(* 0.3333333333333333 (/ 1 x))
84.0ms	(* (- (+ (* 3.0 y) (* 0.3333333333333333 (/ 1 x))) 3.0) (sqrt x))

simplify65.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	406	648
1	1714	560
2	5001	542

prune268.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample917.0ms

Algorithm

intervals

Results

272.0ms	8490×	body	80	valid
265.0ms	8354×	body	80	nan