Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

334×

body

valid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	65	4
3	128	4
4	174	4
5	189	4
6	206	4
7	255	4
8	350	4
9	625	4
10	1352	4
11	1953	4
12	2733	4
13	3707	4
14	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

2.0ms	(+ x (* (* (- y x) 6.0) z))
10.0ms	(* (- y x) 6.0)
18.0ms	(* (* (- y x) 6.0) z)

series116.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (* (* (- y x) 6.0) z))
29.0ms	(* (- y x) 6.0)
38.0ms	(* (* (- y x) 6.0) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	246	290
1	1073	249
2	5001	249

prune125.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.3b	(* (- y x) (* 6.0 z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ x (* (- y x) (* 6.0 z)))
13.0ms	(* (- y x) (* 6.0 z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (- y x) (* 6.0 z)))
37.0ms	(* (- y x) (* 6.0 z))

simplify107.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	210
1	717	179
2	3878	179
3	5003	179

prune76.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* y y) (* x x)) 6.0)
0.3b	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
1.9b	(- (* y y) (* x x))
26.5b	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
14×	`associate-l`
11×	`add-cube-cbrt`
8×	`pow1` `times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*l/`
4×	`cbrt-undiv` `div-exp` `associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

13.0ms	(* (- (* y y) (* x x)) 6.0)
22.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
3.0ms	(- (* y y) (* x x))
9.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series202.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* y y) (* x x)) 6.0)
63.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
34.0ms	(- (* y y) (* x x))
57.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify60.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	415	746
1	2201	614
2	5001	606

prune222.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 6.0 (* (- y x) z)))
0.0b	(* (- y x) z)
0.3b	(* 6.0 (* (- y x) z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`-un-lft-identity` `associate-l*`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

3.0ms	(+ x (* 6.0 (* (- y x) z)))
11.0ms	(* (- y x) z)
13.0ms	(* 6.0 (* (- y x) z))

series122.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (* 6.0 (* (- y x) z)))
28.0ms	(* (- y x) z)
43.0ms	(* 6.0 (* (- y x) z))

simplify39.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	238	290
1	905	247
2	5002	247

prune117.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample424.0ms

Algorithm

intervals

Results

223.0ms

10116×

body

valid