Details

sample46.0ms

Algorithm

intervals

Results

26.0ms

359×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
6.6b	(* (* (* y 9.0) z) t)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
7.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

series140.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
17.0ms	(* (* y 9.0) z)
25.0ms	(* (* a 27.0) b)
26.0ms	(* (* (* y 9.0) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	371	417
1	1863	351
2	5001	351

prune250.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.6b	(* (* (* y 9.0) z) t)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
7.0ms	(* (* y 9.0) z)
6.0ms	(* 27.0 (* a b))
26.0ms	(* (* (* y 9.0) z) t)

series136.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
21.0ms	(* (* y 9.0) z)
20.0ms	(* 27.0 (* a b))
25.0ms	(* (* (* y 9.0) z) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	359	416
1	1685	350
2	5001	350

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
3.5b	(* (* (* y 9.0) z) (+ (- t) t))
6.6b	(* t (* z y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r`
16×	`*-un-lft-identity`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-l`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `*-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (* y 9.0) z)
7.0ms	(* 27.0 (* a b))
41.0ms	(* (* (* y 9.0) z) (+ (- t) t))
6.0ms	(* t (* z y))

series73.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* y 9.0) z)
22.0ms	(* 27.0 (* a b))
1.0ms	(* (* (* y 9.0) z) (+ (- t) t))
28.0ms	(* t (* z y))

simplify87.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	446	466
1	2520	347
2	5001	279

prune324.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y (* 9.0 z)) t))
0.2b	(* y (* 9.0 z))
0.3b	(* 27.0 (* a b))
6.6b	(* (* y (* 9.0 z)) t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
6.0ms	(* y (* 9.0 z))
7.0ms	(* 27.0 (* a b))
19.0ms	(* (* y (* 9.0 z)) t)

series140.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
18.0ms	(* y (* 9.0 z))
23.0ms	(* 27.0 (* a b))
26.0ms	(* (* y (* 9.0 z)) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	356	416
1	1622	350
2	5002	350

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes513.0ms

Accuracy

65.7% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	29
1	58	29

end0.0ms

sample1.2s

Algorithm

intervals

Results

818.0ms

11033×

body

valid