Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

315×

body

valid

simplify33.0ms

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

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))

rewrite18.0ms

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:

12.0ms	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))

series22.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
15.0ms	(+ (* x y) (* (- x 1.0) z))

simplify103.0ms

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

prune51.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

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: 0b

Counts

40 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

5.0ms	(+ (sqrt x) (sqrt 1.0))
9.0ms	(* (- (sqrt x) (sqrt 1.0)) z)
14.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

series41.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (sqrt x) (sqrt 1.0))
10.0ms	(* (- (sqrt x) (sqrt 1.0)) z)
27.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

simplify59.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	625
1	2032	506
2	5002	506

prune131.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))
0.1b	(pow (+ (* x y) (* (- x 1.0) z)) 3)
40.8b	(cbrt (pow (+ (* x y) (* (- x 1.0) z)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))
5.0ms	(pow (+ (* x y) (* (- x 1.0) z)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* (- x 1.0) z)) 3))

series51.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- x 1.0) z)
10.0ms	(+ (* x y) (* (- x 1.0) z))
28.0ms	(pow (+ (* x y) (* (- x 1.0) z)) 3)
8.0ms	(cbrt (pow (+ (* x y) (* (- x 1.0) z)) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	329	623
1	1614	585
2	5001	579

prune110.0ms

Filtered

56 candidates to 93 candidates (-66.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes193.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample576.0ms

Algorithm

intervals

Results

299.0ms

10064×

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

sample21.0ms

simplify33.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series22.0ms

simplify103.0ms

prune51.0ms

localize10.0ms

rewrite30.0ms

series41.0ms

simplify59.0ms

prune131.0ms

localize10.0ms

rewrite21.0ms

series51.0ms

simplify60.0ms

prune110.0ms

regimes193.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample576.0ms

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