Details

sample54.0ms

Algorithm

intervals

Results

35.0ms

324×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
5.7b	(* (* (* y 9.0) z) t)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

15.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
7.0ms	(* (* y 9.0) z)
10.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

series232.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
28.0ms	(* (* (* y 9.0) z) t)

simplify79.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	391	503
1	2058	422
2	5002	418

prune307.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* y (* 9.0 z)) t))
0.2b	(* (* a 27.0) b)
0.2b	(* y (* 9.0 z))
5.7b	(* (* 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))
8.0ms	(* (* a 27.0) b)
7.0ms	(* y (* 9.0 z))
23.0ms	(* (* y (* 9.0 z)) t)

series150.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
22.0ms	(* (* a 27.0) b)
19.0ms	(* y (* 9.0 z))
30.0ms	(* (* y (* 9.0 z)) t)

simplify76.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	368	417
1	1800	351
2	5001	351

prune297.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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	(* 27.0 (* a b))
5.7b	(* (* 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-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))
7.0ms	(* y (* 9.0 z))
11.0ms	(* 27.0 (* a b))
20.0ms	(* (* y (* 9.0 z)) t)

series148.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
18.0ms	(* y (* 9.0 z))
21.0ms	(* 27.0 (* a b))
29.0ms	(* (* y (* 9.0 z)) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (15.0ms)

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

prune311.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
5.7b	(* (* (* y 9.0) z) t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma a (* 27.0 b) (- (* (* (* y 9.0) z) t)))
12.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

series140.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(fma a (* 27.0 b) (- (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
29.0ms	(* (* (* y 9.0) z) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	217	297
1	1075	241
2	5001	241

prune189.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes632.0ms

Accuracy

85.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.9b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	29
1	69	29
2	75	29
3	75	29

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

10888×

body

valid