Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

315×

body

valid

simplify31.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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))

series70.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- x 1.0) z)
36.0ms	(+ (* x y) (* (- x 1.0) z))

simplify94.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

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

prune92.0ms

Filtered

39 candidates to 28 candidates (28.2%)

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 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
4.1b	(* (- (* x x) (* 1.0 1.0)) z)
6.7b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
6.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms	(* (- (* x x) (* 1.0 1.0)) z)
8.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series252.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* x x) (* 1.0 1.0))
54.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
73.0ms	(* (- (* x x) (* 1.0 1.0)) z)
70.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	380	611
1	1779	535
2	5001	526

prune339.0ms

Filtered

84 candidates to 60 candidates (28.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
0.1b	(* (- x 1.0) (sqrt z))
0.2b	(* (* (- x 1.0) (sqrt z)) (sqrt z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
7.0ms	(* (- x 1.0) (sqrt z))
9.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

series187.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
70.0ms	(* (- x 1.0) (sqrt z))
58.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	355	436
1	1496	377
2	5002	365

prune215.0ms

Filtered

69 candidates to 46 candidates (33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x y) 3)
1.8b	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
2.0b	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
37.6b	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite51.0ms

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:

3.0ms	(pow (* x y) 3)
9.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
14.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
22.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series663.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(pow (* x y) 3)
177.0ms	(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
124.0ms	(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
297.0ms	(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify102.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (87.0ms)

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

prune353.0ms

Filtered

101 candidates to 71 candidates (29.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

regimes207.0ms

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

sample606.0ms

Algorithm

intervals

Results

262.0ms

10069×

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

Details

sample23.0ms

simplify31.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series70.0ms

simplify94.0ms

prune92.0ms

localize10.0ms

rewrite25.0ms

series252.0ms

simplify51.0ms

prune339.0ms

localize8.0ms

rewrite21.0ms

series187.0ms

simplify46.0ms

prune215.0ms

localize16.0ms

rewrite51.0ms

series663.0ms

simplify102.0ms

prune353.0ms

regimes207.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample606.0ms

Profiling

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