Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

315×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify114.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

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

prune53.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

5.0ms	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
5.0ms	(+ (sqrt 1.0) (sqrt x))
9.0ms	(* (- (sqrt 1.0) (sqrt x)) z)
15.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

series62.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
4.0ms	(+ (sqrt 1.0) (sqrt x))
11.0ms	(* (- (sqrt 1.0) (sqrt x)) z)
30.0ms	(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

simplify76.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	518	822
1	2483	666
2	5001	648

prune157.0ms

Filtered

70 candidates to 90 candidates (-28.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

4.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
7.0ms	(* (- 1.0 x) (sqrt z))
9.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* x y) (* (* (- 1.0 x) (sqrt z)) (sqrt z)))
7.0ms	(* (- 1.0 x) (sqrt z))
6.0ms	(* (* (- 1.0 x) (sqrt z)) (sqrt z))

simplify53.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	350	436
1	1486	373
2	5002	362

prune71.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 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

sample578.0ms

Algorithm

intervals

Results

300.0ms

10064×

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

Details

sample27.0ms

simplify34.0ms

prune4.0ms

localize7.0ms

rewrite12.0ms

series13.0ms

simplify114.0ms

prune53.0ms

localize11.0ms

rewrite40.0ms

series62.0ms

simplify76.0ms

prune157.0ms

localize9.0ms

rewrite23.0ms

series24.0ms

simplify53.0ms

prune71.0ms

regimes193.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample578.0ms

Profiling

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