Details

sample36.0ms

Algorithm

intervals

Results

20.0ms

496×

body

valid

simplify70.0ms

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 (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: 7.3b

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)))
6.9b	(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

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))

series151.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* z z) t)
71.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
60.0ms	(* (* 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

prune114.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	6	64

Merged error: 2.9b

Counts

64 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
11.0b	(* (* y 4.0) (* z z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

8.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
7.0ms	(* (* y 4.0) (* z z))

series101.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
31.0ms	(* (* y 4.0) (* z z))

simplify36.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	253	365
1	1088	292
2	5002	288

prune73.0ms

Filtered

45 candidates to 24 candidates (53.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0.0b

Counts

51 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

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

series100.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
29.0ms	(* (* (* y 4.0) z) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	265	362
1	1254	302
2	5001	295

prune82.0ms

Filtered

44 candidates to 26 candidates (59.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize14.0ms

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)

series697.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt z) (cbrt z))
168.0ms	(cbrt z)
166.0ms	(cbrt z)
164.0ms	(cbrt z)

simplify94.0ms

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

prune208.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

regimes324.0ms

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	20	9
1	24	9
2	31	9
3	31	9

end0.0ms

sample988.0ms

Algorithm

intervals

Results

587.0ms

15783×

body

valid