Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

531×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	21	3
3	48	3
4	133	3
5	437	3
6	1926	3
7	5002	3

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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* y y))
0.3b	(* x (exp (* y y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-r` `associate-l`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

2 → 28

Calls

2 calls:

2.0ms	(exp (* y y))
4.0ms	(* x (exp (* y y)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(exp (* y y))
31.0ms	(* x (exp (* y y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	89	130
1	321	114
2	1270	114
3	5001	114

prune58.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.3b

Counts

35 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
0.0b	(* x (sqrt (exp (* y y))))
0.2b	(sqrt (exp (* y y)))
0.2b	(sqrt (exp (* y y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`sqrt-pow1` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `exp-prod` `exp-to-pow` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
5.0ms	(* x (sqrt (exp (* y y))))
2.0ms	(sqrt (exp (* y y)))
2.0ms	(sqrt (exp (* y y)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
39.0ms	(* x (sqrt (exp (* y y))))
22.0ms	(sqrt (exp (* y y)))
20.0ms	(sqrt (exp (* y y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	164	464
1	785	404
2	3042	392
3	5001	392

prune133.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.3b

Counts

89 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (exp (pow y 2))) 3)
0.2b	(cbrt (pow (sqrt (exp (pow y 2))) 3))
0.2b	(sqrt (exp (* y y)))
0.2b	(sqrt (exp (pow y 2)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`sqrt-pow1`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
17×	`exp-prod`
12×	`cube-prod`
11×	`pow-pow`
8×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqr-pow`
3×	`pow-unpow` `pow1/2`
2×	`cube-mult` `rem-sqrt-square` `unpow3` `unpow2`
1×	`pow-to-exp` `exp-to-pow` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 103

Calls

4 calls:

6.0ms	(pow (sqrt (exp (pow y 2))) 3)
4.0ms	(cbrt (pow (sqrt (exp (pow y 2))) 3))
2.0ms	(sqrt (exp (* y y)))
3.0ms	(sqrt (exp (pow y 2)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (sqrt (exp (pow y 2))) 3)
23.0ms	(cbrt (pow (sqrt (exp (pow y 2))) 3))
19.0ms	(sqrt (exp (* y y)))
20.0ms	(sqrt (exp (pow y 2)))

simplify36.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	234	508
1	871	475
2	5001	449

prune231.0ms

Filtered

115 candidates to 70 candidates (60.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	115	5	120

Merged error: 0.3b

Counts

120 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow y 2) (+ (* 1/2 (pow y 4)) 1))
0.0b	(* 1/2 (pow y 4))
0.0b	(* x (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`associate-r`
10×	`add-exp-log`
8×	`add-cube-cbrt` `add-log-exp`
7×	`add-cbrt-cube`
6×	`associate-l`
5×	`pow1`
4×	`unpow-prod-down` `prod-exp` `unswap-sqr`
3×	`sum-log`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-prod-down` `pow-exp`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+ (pow y 2) (+ (* 1/2 (pow y 4)) 1))
5.0ms	(* 1/2 (pow y 4))
9.0ms	(* x (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (pow y 2) (+ (* 1/2 (pow y 4)) 1))
35.0ms	(* 1/2 (pow y 4))
87.0ms	(* x (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	284	431
1	1387	386
2	5001	381

prune123.0ms

Filtered

71 candidates to 45 candidates (63.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	0	1
Picked	1	0	1
Done	1	2	3
Total	72	4	76

Merged error: 0.2b

Counts

76 → 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	6	3
1	6	3

end0.0ms

sample636.0ms

Algorithm

intervals

Results

385.0ms

16026×

body

valid