Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

506×

body

valid

simplify79.0ms

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: 5.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.0b	(* (* 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))

series153.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* z z) t)
74.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
59.0ms	(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (35.0ms)

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

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (pow z 2))
0.0b	(+ (* x x) (* (* y 4.0) (- t (pow z 2))))
5.0b	(* (* y 4.0) (- t (pow z 2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `difference-of-squares`
7×	`add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `associate-+r+` `distribute-lft-in`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`unpow-prod-down` `flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `unpow2` `sqr-pow`
1×	`+-commutative` `flip3-+` `diff-log` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

3 → 61

Calls

3 calls:

7.0ms	(- t (pow z 2))
4.0ms	(+ (* x x) (* (* y 4.0) (- t (pow z 2))))
9.0ms	(* (* y 4.0) (- t (pow z 2)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- t (pow z 2))
81.0ms	(+ (* x x) (* (* y 4.0) (- t (pow z 2))))
71.0ms	(* (* y 4.0) (- t (pow z 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	331	412
1	1465	365
2	5001	362

prune168.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.5b

localize16.0ms

Local error

Found 4 expressions with local error:

2.7b	(cbrt (+ (* x x) (* (* y 4.0) (- t (pow z 2)))))
5.0b	(* (* y 4.0) (- t (pow z 2)))
5.0b	(* (* y 4.0) (- t (pow z 2)))
5.0b	(* (* y 4.0) (- t (pow z 2)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`associate-r`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`difference-of-squares`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `unpow2` `sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 100

Calls

4 calls:

3.0ms	(cbrt (+ (* x x) (* (* y 4.0) (- t (pow z 2)))))
9.0ms	(* (* y 4.0) (- t (pow z 2)))
9.0ms	(* (* y 4.0) (- t (pow z 2)))
9.0ms	(* (* y 4.0) (- t (pow z 2)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (+ (* x x) (* (* y 4.0) (- t (pow z 2)))))
75.0ms	(* (* y 4.0) (- t (pow z 2)))
72.0ms	(* (* y 4.0) (- t (pow z 2)))
73.0ms	(* (* y 4.0) (- t (pow z 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	348	727
1	1420	646
2	5002	640

prune313.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.5b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (* t (* y 4.0)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x x) (* t (* y 4.0)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ (* x x) (* t (* y 4.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	107	97
1	555	87
2	2426	87
3	5002	87

prune34.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.5b

regimes372.0ms

Accuracy

87.1% (0.4b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 5.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	17
1	37	17
2	37	17

end0.0ms

sample898.0ms

Algorithm

intervals

Results

510.0ms

15697×

body

valid