Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

303×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	71	4
3	136	4
4	211	4
5	285	4
6	350	4
7	396	4
8	408	4
9	408	4

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

6.0ms	(- x (/ 16.0 116.0))
9.0ms	(* (- x (/ 16.0 116.0)) 3.0)
9.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series102.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- x (/ 16.0 116.0))
38.0ms	(* (- x (/ 16.0 116.0)) 3.0)
38.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify96.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	223	336
1	883	287
2	4460	287
3	5001	287

prune109.0ms

Filtered

67 candidates to 45 candidates (67.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(- (* 3.0 x) 0.41379310344827586)
6.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series83.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* 3.0 x) 0.41379310344827586)
42.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify53.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	137	189
1	512	167
2	1828	166
3	5001	166

prune57.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `times-frac` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 38

Calls

2 calls:

6.0ms	(- x (/ 16.0 116.0))
9.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- x (/ 16.0 116.0))
34.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	232
1	601	197
2	2588	197
3	5002	197

prune61.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.1b	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

6.0ms	(- x (/ 16.0 116.0))
12.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
16.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
14.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series344.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- x (/ 16.0 116.0))
116.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
92.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
115.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	358	854
1	1703	656
2	5002	612

prune158.0ms

Filtered

103 candidates to 65 candidates (63.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Merged error: 0b

Counts

109 → 6

regimes70.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample364.0ms

Algorithm

intervals

Results

219.0ms

9132×

body

valid