Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

486×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune3.0ms

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: 5.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.7b	(* (* y 4.0) (- (* z z) t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

4.0ms	(- (* z z) t)
4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))

series161.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* z z) t)
77.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
64.0ms	(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	385
1	1348	342
2	5001	337

prune137.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	8	64

Merged error: 2.7b

Counts

64 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* z z) (* y 4.0)))
0.0b	(- (- (* x x) (* (* z z) (* y 4.0))) (* (* y 4.0) (- t)))
0.2b	(* (* y 4.0) (- t))
7.9b	(* (* z z) (* y 4.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`diff-log`
3×	`distribute-lft-neg-in` `sub-neg` `distribute-rgt-neg-in`
2×	`flip3--` `associate-l` `associate--l+` `*-commutative` `flip--`
1×	`associate--l-` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 76

Calls

4 calls:

3.0ms	(- (* x x) (* (* z z) (* y 4.0)))
6.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (* y 4.0) (- t)))
6.0ms	(* (* y 4.0) (- t))
7.0ms	(* (* z z) (* y 4.0))

series160.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* x x) (* (* z z) (* y 4.0)))
60.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (* y 4.0) (- t)))
21.0ms	(* (* y 4.0) (- t))
21.0ms	(* (* z z) (* y 4.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	390	569
1	1950	490
2	5002	473

prune175.0ms

Filtered

88 candidates to 54 candidates (61.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x x) (* z (* z (* y 4.0)))) (* (* y 4.0) (- t)))
0.2b	(* z (* z (* y 4.0)))
0.2b	(* (* y 4.0) (- t))
0.2b	(* z (* y 4.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
7×	`associate-l`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `diff-log` `*-commutative`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `neg-mul-1` `flip3--` `distribute-rgt-neg-out` `flip--`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (* y 4.0) (- t)))
6.0ms	(* z (* z (* y 4.0)))
6.0ms	(* (* y 4.0) (- t))
5.0ms	(* z (* y 4.0))

series298.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (* y 4.0) (- t)))
21.0ms	(* z (* z (* y 4.0)))
194.0ms	(* (* y 4.0) (- t))
19.0ms	(* z (* y 4.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	365	527
1	1806	436
2	5001	424

prune174.0ms

Filtered

93 candidates to 54 candidates (58.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 0.0b

Counts

98 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series715.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt z) (cbrt z))
179.0ms	(cbrt z)
170.0ms	(cbrt z)
170.0ms	(cbrt z)

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune238.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

regimes431.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	23	9
2	30	9
3	30	9

end0.0ms

sample893.0ms

Algorithm

intervals

Results

490.0ms

15600×

body

valid