Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

344×

body

valid

simplify97.0ms

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: 3.9b

localize16.0ms

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)
5.5b	(* (* (* 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:

12.0ms	(+ (- (* 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)

series215.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
21.0ms	(* (* a 27.0) b)
18.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (60.0ms)

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

prune255.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
5.5b	(* (* y (* 9.0 z)) t)

rewrite44.0ms

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))
17.0ms	(* (* y (* 9.0 z)) t)

series212.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
21.0ms	(* y (* 9.0 z))
25.0ms	(* (* y (* 9.0 z)) t)

simplify83.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (72.0ms)

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

prune284.0ms

Pruning

6 alts after pruning (6 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))) (* (* a 27.0) b))
0.2b	(* (* 9.0 z) t)
0.2b	(* (* a 27.0) b)
6.2b	(* 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	(* (* 9.0 z) t)
7.0ms	(* (* a 27.0) b)
20.0ms	(* y (* (* 9.0 z) t))

series227.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
22.0ms	(* (* 9.0 z) t)
21.0ms	(* (* a 27.0) b)
27.0ms	(* y (* (* 9.0 z) t))

simplify79.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (71.0ms)

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

prune297.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 9.0 z))
0.3b	(fma 27.0 (* a b) (* (* y (* 9.0 z)) (+ (- t) t)))
3.5b	(* (* y (* 9.0 z)) (+ (- t) t))
5.5b	(* t (* y (* 9.0 z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`associate-l`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in` `*-commutative`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* y (* 9.0 z))
0.0ms	(fma 27.0 (* a b) (* (* y (* 9.0 z)) (+ (- t) t)))
33.0ms	(* (* y (* 9.0 z)) (+ (- t) t))
15.0ms	(* t (* y (* 9.0 z)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* y (* 9.0 z))
24.0ms	(fma 27.0 (* a b) (* (* y (* 9.0 z)) (+ (- t) t)))
2.0ms	(* (* y (* 9.0 z)) (+ (- t) t))
34.0ms	(* t (* y (* 9.0 z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	366	535
1	2291	404
2	5003	334

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes747.0ms

Accuracy

76.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	23
1	70	23
2	70	23

end0.0ms

sample876.0ms

Algorithm

intervals

Results

474.0ms

10972×

body

valid