Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

319×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series62.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) y)
32.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify104.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
3.3b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))
5.5b	(* (- (* 1.0 1.0) (* x x)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

9.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
9.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))
6.0ms	(* (- (* 1.0 1.0) (* x x)) y)

series148.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
55.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))
38.0ms	(* (- (* 1.0 1.0) (* x x)) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	366	532
1	1792	470
2	5002	461

prune138.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x z) 3)
1.2b	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
2.5b	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
37.7b	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

4.0ms	(pow (* x z) 3)
14.0ms	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
8.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
24.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (* x z) 3)
124.0ms	(+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z)))
226.0ms	(+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3))
300.0ms	(/ (+ (pow (* (- 1.0 x) y) 3) (pow (* x z) 3)) (+ (* (* y (- 1.0 x)) (- (* (- 1.0 x) y) (* x z))) (* (* x z) (* x z))))

simplify99.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	470	1633
1	2330	1495
2	5001	1491

prune291.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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	11	4
1	11	4

end0.0ms

sample455.0ms

Algorithm

intervals

Results

251.0ms

10166×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4