Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

338×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 3.0b

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	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
6.8b	(* (* (* y 9.0) z) t)

rewrite53.0ms

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:

14.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
7.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
23.0ms	(* (* (* y 9.0) z) t)

series209.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
23.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* y 9.0) z) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (59.0ms)

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

prune256.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.8b	(* (* (* y 9.0) z) t)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
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-+` `distribute-lft-out`

Counts

4 → 85

Calls

4 calls:

15.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
7.0ms	(* (* y 9.0) z)
6.0ms	(* 27.0 (* a b))
23.0ms	(* (* (* y 9.0) z) t)

series210.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
17.0ms	(* (* y 9.0) z)
24.0ms	(* 27.0 (* a b))
25.0ms	(* (* (* y 9.0) z) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	384	529
1	1857	442
2	5002	432

prune271.0ms

Pruning

8 alts after pruning (8 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))
0.1b	(fma 27.0 (* a b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
6.8b	(* (* (* y 9.0) z) t)

rewrite34.0ms

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 27.0 (* a b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
22.0ms	(* (* (* y 9.0) z) t)

series260.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
151.0ms	(fma 27.0 (* a b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
17.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	300	456
1	1443	388
2	5001	388

prune241.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.1b	(fma 27.0 (* a b) (- (* 2.0 x) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
6.8b	(* t (* z y))

rewrite27.0ms

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-l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.0ms	(fma 27.0 (* a b) (- (* 2.0 x) (* 9.0 (* t (* z y)))))
16.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series278.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
152.0ms	(fma 27.0 (* a b) (- (* 2.0 x) (* 9.0 (* t (* z y)))))
27.0ms	(* 9.0 (* t (* z y)))
28.0ms	(* t (* z y))

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	273	452
1	1061	384
2	5002	384

prune209.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

84.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	19
1	47	19
2	47	19

end0.0ms

sample876.0ms

Algorithm

intervals

Results

499.0ms

11002×

body

valid