Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

330×

body

valid

simplify35.0ms

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	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))

series57.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- x 1.0) z)
29.0ms	(+ (* x y) (* (- x 1.0) z))

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166

prune68.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.4b	(* (- (* x x) (* 1.0 1.0)) z)
8.0b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite23.0ms

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:

7.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms	(* (- (* x x) (* 1.0 1.0)) z)
9.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series150.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
38.0ms	(* (- (* x x) (* 1.0 1.0)) z)
57.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	370	531
1	1763	466
2	5001	457

prune115.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(sqrt (* (- x 1.0) z))
0.0b	(sqrt (* (- x 1.0) z))
0.2b	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- x 1.0) z)
5.0ms	(sqrt (* (- x 1.0) z))
5.0ms	(sqrt (* (- x 1.0) z))
14.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- x 1.0) z)
80.0ms	(sqrt (* (- x 1.0) z))
76.0ms	(sqrt (* (- x 1.0) z))
34.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	242	506
1	1072	457
2	5002	434

prune196.0ms

Filtered

117 candidates to 69 candidates (59.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x y) 3)
1.2b	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
3.2b	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
43.2b	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite59.0ms

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:

8.0ms	(pow (* x y) 3)
15.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
7.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
25.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series587.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow (* x y) 3)
105.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
155.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
273.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify103.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	454	1634
1	2437	1489
2	5002	1484

prune251.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

regimes66.0ms

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

sample473.0ms

Algorithm

intervals

Results

274.0ms

10125×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4