Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

365×

body

valid

simplify129.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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:

13.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series234.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
19.0ms	(* (* y 9.0) z)
32.0ms	(* (* (* y 9.0) z) t)

simplify80.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (72.0ms)

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

prune277.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
5.7b	(* (* (* y 9.0) z) t)

rewrite30.0ms

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) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series223.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
25.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	225	316
1	1077	256
2	5001	256

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

13.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
6.0ms	(* y (* 9.0 z))
18.0ms	(* (* y (* 9.0 z)) t)

series241.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
24.0ms	(* y (* 9.0 z))
29.0ms	(* (* y (* 9.0 z)) t)

simplify85.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	388	503
1	1988	422
2	5001	418

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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:

13.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series237.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify88.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (74.0ms)

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

prune254.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes690.0ms

Accuracy

88% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	27
1	47	27

end0.0ms

sample841.0ms

Algorithm

intervals

Results

466.0ms

11072×

body

valid