Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

334×

body

valid

simplify97.0ms

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: 2.2b

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)
5.2b	(* (* (* y 9.0) z) t)

rewrite56.0ms

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	(* (* a 27.0) b)
7.0ms	(* (* y 9.0) z)
26.0ms	(* (* (* y 9.0) z) t)

series220.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
24.0ms	(* (* a 27.0) b)
18.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* 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

prune290.0ms

Pruning

14 alts after pruning (14 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)) (pow (* 27.0 (* a b)) 1))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
5.2b	(* (* (* 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`
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)

series224.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
18.0ms	(* (* y 9.0) z)
21.0ms	(* 27.0 (* a b))
30.0ms	(* (* (* y 9.0) z) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (57.0ms)

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

prune318.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))
5.2b	(* (* y (* 9.0 z)) t)

rewrite40.0ms

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))
6.0ms	(* 27.0 (* a b))
22.0ms	(* (* y (* 9.0 z)) t)

series142.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
22.0ms	(* y (* 9.0 z))
21.0ms	(* 27.0 (* a b))
27.0ms	(* (* y (* 9.0 z)) t)

simplify63.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (12.0ms)

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

prune274.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
1.7b	(* (* y (* 9.0 z)) (+ (- t) t))
5.3b	(* t (* z y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`-un-lft-identity` `associate-r*`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`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 → 100

Calls

4 calls:

16.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 27.0 (* a b))
35.0ms	(* (* y (* 9.0 z)) (+ (- t) t))
6.0ms	(* t (* z y))

series84.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 9.0 (* t (* z y)))
22.0ms	(* 27.0 (* a b))
1.0ms	(* (* y (* 9.0 z)) (+ (- t) t))
31.0ms	(* t (* z y))

simplify92.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	484	507
1	2603	377
2	5001	308

prune347.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes559.0ms

Accuracy

42.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	17
1	41	17

end0.0ms

sample810.0ms

Algorithm

intervals

Results

434.0ms

10927×

body

valid