Details

sample43.0ms

Algorithm

intervals

Results

25.0ms

349×

body

valid

simplify93.0ms

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: 1.9b

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	(* (* y 9.0) z)
0.2b	(* (* a 27.0) b)
3.8b	(* (* (* 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))
6.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
23.0ms	(* (* (* y 9.0) z) t)

series212.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* y 9.0) z)
20.0ms	(* (* a 27.0) b)
31.0ms	(* (* (* y 9.0) z) t)

simplify92.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (82.0ms)

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

prune267.0ms

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	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* y (* 9.0 z))
3.8b	(* (* 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×	`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))
7.0ms	(* (* a 27.0) b)
9.0ms	(* y (* 9.0 z))
18.0ms	(* (* y (* 9.0 z)) t)

series217.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
19.0ms	(* y (* 9.0 z))
28.0ms	(* (* y (* 9.0 z)) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (61.0ms)

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

prune265.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 9.0 z))
0.2b	(* y (* 9.0 z))
1.7b	(* (* y (* 9.0 z)) (+ (- t) t))
3.8b	(* t (* y (* 9.0 z)))

rewrite66.0ms

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:

6.0ms	(* y (* 9.0 z))
6.0ms	(* y (* 9.0 z))
36.0ms	(* (* y (* 9.0 z)) (+ (- t) t))
15.0ms	(* t (* y (* 9.0 z)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* y (* 9.0 z))
19.0ms	(* y (* 9.0 z))
1.0ms	(* (* y (* 9.0 z)) (+ (- t) t))
29.0ms	(* t (* y (* 9.0 z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	345	510
1	2243	379
2	5001	310

prune333.0ms

Pruning

4 alts after pruning (4 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))) (* (* a 27.0) b))
0.2b	(* (* 9.0 z) t)
0.2b	(* (* a 27.0) b)
4.3b	(* 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	(* (* 9.0 z) t)
7.0ms	(* (* a 27.0) b)
17.0ms	(* y (* (* 9.0 z) t))

series238.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
19.0ms	(* (* 9.0 z) t)
22.0ms	(* (* a 27.0) b)
34.0ms	(* y (* (* 9.0 z) t))

simplify78.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	393	503
1	2046	423
2	5002	420

prune279.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes351.0ms

Accuracy

42.3% (2.2b remaining)

Error of 2.3b against oracle of 0.1b and baseline of 3.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	15
1	32	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

846.0ms

10971×

body

valid