Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

339×

body

valid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	5001	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+ x (* (* (- y x) 6.0) z))
20.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) z)

series105.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (* (* (- y x) 6.0) z))
26.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	259	314
1	1122	267
2	5002	265

prune133.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- y x) (* 6.0 z) x)

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (- y x) (* 6.0 z) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53

prune33.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.2b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity`
12×	`associate-*l/`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `fma-def` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

7.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
134.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
26.0ms	(* (- y x) (sqrt 6.0))
42.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series444.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
142.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
55.0ms	(* (- y x) (sqrt 6.0))
89.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	352	652
1	1746	516
2	5003	497

prune189.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
0.2b	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
0.3b	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
0.5b	(* (- y x) (sqrt 6.0))

rewrite748.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`associate-r`
22×	`sqrt-prod`
20×	`add-sqr-sqrt` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
8×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

529.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
147.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
46.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
23.0ms	(* (- y x) (sqrt 6.0))

series476.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
87.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
175.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
57.0ms	(* (- y x) (sqrt 6.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	415	1006
1	2344	789
2	5001	730

prune240.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample486.0ms

Algorithm

intervals

Results

217.0ms

10154×

body

valid