Details

sample44.0ms

Algorithm

intervals

Results

25.0ms

355×

body

valid

simplify95.0ms

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: 2.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
4.7b	(* (* (* y 9.0) z) t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

series294.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
170.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
20.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	306	456
1	1445	388
2	5001	388

prune238.0ms

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	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
4.6b	(* t (* z y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
18.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

series168.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
34.0ms	(* 9.0 (* t (* z y)))
22.0ms	(* 27.0 (* a b))
28.0ms	(* t (* z y))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	315	429
1	1266	366
2	5002	366

prune246.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.3b	(* (sqrt 27.0) (* a b))
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
4.6b	(* t (* z y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

15.0ms	(* 9.0 (* t (* z y)))
11.0ms	(* (sqrt 27.0) (* a b))
20.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
6.0ms	(* t (* z y))

series193.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 9.0 (* t (* z y)))
48.0ms	(* (sqrt 27.0) (* a b))
83.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
28.0ms	(* t (* z y))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	316	457
1	1313	362
2	5002	362

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
4.7b	(* (* (* y 9.0) z) t)

rewrite52.0ms

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))
9.0ms	(* (* y 9.0) z)
6.0ms	(* (* a 27.0) b)
21.0ms	(* (* (* y 9.0) z) t)

series231.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
29.0ms	(* (* (* y 9.0) z) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (63.0ms)

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

prune249.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes553.0ms

Accuracy

82.2% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	19
1	45	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

814.0ms

11017×

body

valid