Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

306×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

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

3.0ms	(+ (* x y) (* (- 1.0 x) z))
10.0ms	(* (- 1.0 x) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* (- 1.0 x) z))
29.0ms	(* (- 1.0 x) z)

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune70.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(sqrt (- 1.0 x))
0.1b	(* (sqrt (- 1.0 x)) z)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

4.0ms	(sqrt (- 1.0 x))
3.0ms	(sqrt (- 1.0 x))
11.0ms	(* (sqrt (- 1.0 x)) z)
26.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series182.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (- 1.0 x))
33.0ms	(sqrt (- 1.0 x))
86.0ms	(* (sqrt (- 1.0 x)) z)
29.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify108.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	329	600
1	1114	526
2	4727	512
3	5001	512

prune224.0ms

Filtered

103 candidates to 70 candidates (68.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x y) 3)
0.8b	(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
1.3b	(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
39.4b	(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

rewrite99.0ms

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:

2.0ms	(pow (* x y) 3)
26.0ms	(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
7.0ms	(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
61.0ms	(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

series583.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(pow (* x y) 3)
107.0ms	(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
152.0ms	(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
273.0ms	(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

simplify102.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	448	1632
1	2413	1490
2	5001	1485

prune257.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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

sample412.0ms

Algorithm

intervals

Results

225.0ms

10066×

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