Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

324×

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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))

series60.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- 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

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.3b	(* (- (* x x) (* 1.0 1.0)) z)
6.0b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite22.0ms

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))

series145.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
39.0ms	(* (- (* x x) (* 1.0 1.0)) z)
56.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (43.0ms)

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

prune129.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x y) (* (- x 1.0) z))
3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
10.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x y) (* (- x 1.0) z))
79.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
80.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
30.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	264	946
1	991	850
2	5002	818

prune186.0ms

Filtered

110 candidates to 63 candidates (57.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

6.0b	(/ (* (sqrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))) (sqrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))) (* (sqrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z))))) (sqrt (- (* x y) (* (- x 1.0) z)))))
12.5b	(sqrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))
13.6b	(sqrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))
25.6b	(sqrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-div`
16×	`add-exp-log` `add-cbrt-cube`
12×	`sqrt-prod`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`frac-times` `flip3-+` `associate-/r/` `flip-+` `associate-/l/`
7×	`pow1` `add-cube-cbrt` `flip3--` `flip--`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`sqrt-unprod`
1×	`sqrt-undiv` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `div-inv` `distribute-lft-out` `associate-/l` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

36.0ms	(/ (* (sqrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))) (sqrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))) (* (sqrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z))))) (sqrt (- (* x y) (* (- x 1.0) z)))))
6.0ms	(sqrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))
11.0ms	(sqrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))
14.0ms	(sqrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.4s	(/ (* (sqrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))) (sqrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))) (* (sqrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z))))) (sqrt (- (* x y) (* (- x 1.0) z)))))
288.0ms	(sqrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))
866.0ms	(sqrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))
206.0ms	(sqrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	635	2741
1	2872	2413
2	5001	2413

prune455.0ms

Filtered

98 candidates to 78 candidates (79.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

regimes91.0ms

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

sample423.0ms

Algorithm

intervals

Results

227.0ms

10106×

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