Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	23	3
2	30	3
3	31	3
4	31	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: 4.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.0b	(* x (+ 1.0 (* y y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* x (+ 1.0 (* y y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	148	123
1	742	103
2	3453	100
3	5001	100

prune54.0ms

Filtered

27 candidates to 22 candidates (81.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Merged error: 4.2b

Counts

28 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.0b	(sqrt (+ 1.0 (* y y)))
4.0b	(sqrt (+ 1.0 (* y y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`sqrt-div`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* x (sqrt (+ 1.0 (* y y))))
10.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (sqrt (+ 1.0 (* y y))))
56.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
42.0ms	(sqrt (+ 1.0 (* y y)))
46.0ms	(sqrt (+ 1.0 (* y y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	318	722
1	1367	620
2	5002	595

prune206.0ms

Filtered

105 candidates to 84 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Merged error: 4.2b

Counts

111 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

2.0b	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.2b	(cbrt (+ 1.0 (* y y)))
4.2b	(cbrt (+ 1.0 (* y y)))
4.2b	(cbrt (+ 1.0 (* y y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

10.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
171.0ms	(cbrt (+ 1.0 (* y y)))
170.0ms	(cbrt (+ 1.0 (* y y)))
167.0ms	(cbrt (+ 1.0 (* y y)))

simplify111.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	308	733
1	1005	669
2	3500	640
3	5001	634

prune224.0ms

Filtered

86 candidates to 76 candidates (88.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	86	6	92

Merged error: 4.2b

Counts

92 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (+ 1.0 (* y y))))
4.0b	(* x (+ 1.0 (* y y)))
4.0b	(* x (+ 1.0 (* y y)))
4.0b	(* x (+ 1.0 (* y y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`associate-*r/`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 85

Calls

4 calls:

4.0ms	(cbrt (* x (+ 1.0 (* y y))))
5.0ms	(* x (+ 1.0 (* y y)))
5.0ms	(* x (+ 1.0 (* y y)))
5.0ms	(* x (+ 1.0 (* y y)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (* x (+ 1.0 (* y y))))
59.0ms	(* x (+ 1.0 (* y y)))
54.0ms	(* x (+ 1.0 (* y y)))
56.0ms	(* x (+ 1.0 (* y y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	272	514
1	1093	438
2	4567	421
3	5001	421

prune226.0ms

Filtered

97 candidates to 81 candidates (83.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Merged error: 4.2b

Counts

103 → 6

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 5.6b against oracle of 5.4b and baseline of 5.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample406.0ms

Algorithm

intervals

Results

236.0ms

10728×

body

valid