Details

sample54.0ms

Algorithm

intervals

Results

37.0ms

530×

body

valid

simplify75.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.5b	(* (* y 4.0) (- (* z z) t))

rewrite21.0ms

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:

3.0ms	(- (* z z) t)
3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* 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))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (38.0ms)

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

prune143.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (pow (- (* z z) t) 1)))
7.5b	(* (* y 4.0) (pow (- (* z z) t) 1))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log`
9×	`prod-exp`
8×	`associate-r` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down`
3×	`pow-prod-down` `cbrt-unprod`
2×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--` `difference-of-squares`
1×	`associate-l` `*-commutative` `sqr-pow`

Counts

3 → 52

Calls

3 calls:

3.0ms	(- (* z z) t)
2.0ms	(- (* x x) (* (* y 4.0) (pow (- (* z z) t) 1)))
20.0ms	(* (* y 4.0) (pow (- (* z z) t) 1))

series161.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (* z z) t)
72.0ms	(- (* x x) (* (* y 4.0) (pow (- (* z z) t) 1)))
64.0ms	(* (* y 4.0) (pow (- (* z z) t) 1))

simplify45.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	311	392
1	1355	344
2	5001	341

prune152.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.5b

localize10.0ms

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)))
11.6b	(* (* z z) (* y 4.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`diff-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-r` `associate-l` `*-commutative`

Counts

3 → 50

Calls

3 calls:

3.0ms	(- (* x x) (* (* z z) (* y 4.0)))
16.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
11.0ms	(* (* z z) (* y 4.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (* x x) (* (* z z) (* y 4.0)))
64.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
21.0ms	(* (* z z) (* y 4.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	290	456
1	1320	384
2	5002	373

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))
0.1b	(* z (* z (* y 4.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

3.0ms	(- (* x x) (* z (* z (* y 4.0))))
20.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
15.0ms	(* z (* z (* y 4.0)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x x) (* z (* z (* y 4.0))))
64.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
21.0ms	(* z (* z (* y 4.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	293	450
1	1248	389
2	5001	377

prune122.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

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

sample1.5s

Algorithm

intervals

Results

1.1s

15974×

body

valid