Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

295×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

5.0ms	(- (* (+ x 1.0) y) x)
10.0ms	(* (+ x 1.0) y)

series50.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(- (* (+ x 1.0) y) x)
27.0ms	(* (+ x 1.0) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3110	145
3	5001	145

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
0.0b	(* (sqrt (+ x 1.0)) y)
0.1b	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--`

Counts

4 → 83

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
22.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
12.0ms	(* (sqrt (+ x 1.0)) y)
28.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series163.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (+ x 1.0))
24.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
82.0ms	(* (sqrt (+ x 1.0)) y)
26.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	358	619
1	1221	517
2	5001	503

prune187.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* 1.0 (- 1.0 x)) (pow x 2))) x)
0.0b	(+ (* 1.0 (- 1.0 x)) (pow x 2))
3.3b	(* (+ (pow x 3) (pow 1.0 3)) y)
19.4b	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* 1.0 (- 1.0 x)) (pow x 2)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

80.0ms	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* 1.0 (- 1.0 x)) (pow x 2))) x)
7.0ms	(+ (* 1.0 (- 1.0 x)) (pow x 2))
54.0ms	(* (+ (pow x 3) (pow 1.0 3)) y)
29.0ms	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* 1.0 (- 1.0 x)) (pow x 2)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* 1.0 (- 1.0 x)) (pow x 2))) x)
24.0ms	(+ (* 1.0 (- 1.0 x)) (pow x 2))
37.0ms	(* (+ (pow x 3) (pow 1.0 3)) y)
78.0ms	(/ (* (+ (pow x 3) (pow 1.0 3)) y) (+ (* 1.0 (- 1.0 x)) (pow x 2)))

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	388	825
1	1728	734
2	5002	734

prune248.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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	8	3
1	8	3

end0.0ms

sample309.0ms

Algorithm

intervals

Results

169.0ms	9157×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid