Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

500×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 9.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
8.6b	(* (* y 4.0) (- (* z z) t))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
26×	`associate-l`
25×	`difference-of-squares`
24×	`unswap-sqr`
13×	`associate-r`
10×	`distribute-lft-out--`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-commutative` `add-log-exp`
6×	`sub-neg`
5×	`swap-sqr`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/`

Counts

3 → 100

Calls

3 calls:

40.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
9.0ms	(- (* z z) t)
18.0ms	(* (* y 4.0) (- (* z z) t))

series180.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
24.0ms	(- (* z z) t)
74.0ms	(* (* y 4.0) (- (* z z) t))

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	390	756
1	1623	713
2	5001	708

prune164.0ms

Filtered

109 candidates to 62 candidates (43.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	99	10	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	10	110

Merged error: 4.2b

Counts

110 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* z z) (* y 4.0)))
0.0b	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
11.4b	(* (* z z) (* y 4.0))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

234×	`add-sqr-sqrt`
118×	`unswap-sqr`
87×	`*-un-lft-identity`
72×	`associate-l`
58×	`difference-of-squares`
46×	`distribute-lft-out--`
28×	`swap-sqr`
26×	`*-commutative`
18×	`associate-r`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`distribute-rgt-neg-in`
4×	`diff-log`
3×	`sub-neg`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-`

Counts

3 → 171

Calls

3 calls:

38.0ms	(- (* x x) (* (* z z) (* y 4.0)))
119.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
14.0ms	(* (* z z) (* y 4.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* x x) (* (* z z) (* y 4.0)))
74.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
25.0ms	(* (* z z) (* y 4.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	539	1434
1	2339	1361
2	5001	1329

prune214.0ms

Filtered

180 candidates to 75 candidates (58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	175	5	180
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	183	7	190

Merged error: 0.0b

Counts

190 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* z (* (* z y) 4.0)))
0.0b	(* (* z y) 4.0)
0.0b	(- (- (* x x) (* z (* (* z y) 4.0))) (* (- t) (* y 4.0)))
0.1b	(* z (* (* z y) 4.0))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
59×	`associate-l`
51×	`unswap-sqr`
34×	`associate-r`
31×	`distribute-lft-out--`
23×	`difference-of-squares`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
5×	`distribute-rgt-neg-in`
4×	`diff-log` `swap-sqr`
3×	`sub-neg`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-`

Counts

4 → 146

Calls

4 calls:

36.0ms	(- (* x x) (* z (* (* z y) 4.0)))
8.0ms	(* (* z y) 4.0)
74.0ms	(- (- (* x x) (* z (* (* z y) 4.0))) (* (- t) (* y 4.0)))
14.0ms	(* z (* (* z y) 4.0))

series387.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(- (* x x) (* z (* (* z y) 4.0)))
23.0ms	(* (* z y) 4.0)
76.0ms	(- (- (* x x) (* z (* (* z y) 4.0))) (* (- t) (* y 4.0)))
25.0ms	(* z (* (* z y) 4.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	498	1168
1	2240	1066
2	5001	1050

prune255.0ms

Filtered

158 candidates to 94 candidates (40.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	4	158
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Merged error: 0.0b

Counts

165 → 7

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series733.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt z) (cbrt z))
180.0ms	(cbrt z)
174.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify105.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune204.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

regimes305.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	32	9
3	32	9

end0.0ms

sample872.0ms

Algorithm

intervals

Results

478.0ms

15845×

body

valid