Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

338×

body

valid

simplify91.0ms

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: 2.4b

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)
6.4b	(* (* (* y 9.0) z) t)

rewrite50.0ms

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

series204.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
17.0ms	(* (* y 9.0) z)
25.0ms	(* (* (* y 9.0) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (59.0ms)

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

prune259.0ms

Pruning

10 alts after pruning (10 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)) (pow (* 27.0 (* a b)) 1))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.4b	(* (* (* y 9.0) z) t)

rewrite51.0ms

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:

13.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
6.0ms	(* (* y 9.0) z)
6.0ms	(* 27.0 (* a b))
23.0ms	(* (* (* y 9.0) z) t)

series203.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
17.0ms	(* (* y 9.0) z)
22.0ms	(* 27.0 (* a b))
26.0ms	(* (* (* y 9.0) z) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (54.0ms)

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

prune285.0ms

Pruning

10 alts after pruning (10 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))
6.4b	(* (* 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))
18.0ms	(* (* y (* 9.0 z)) t)

series211.0ms

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)
17.0ms	(* y (* 9.0 z))
28.0ms	(* (* y (* 9.0 z)) t)

simplify72.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (65.0ms)

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

prune260.0ms

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) (fma (* t (* y 9.0)) z (* (- 27.0) (* a b))))
0.2b	(* t (* y 9.0))
0.3b	(* (- 27.0) (* a b))
2.8b	(fma (* t (* y 9.0)) z (* (- 27.0) (* a b)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-diff`
2×	`associate-r` `*-commutative` `fma-udef`
1×	`distribute-lft-neg-out` `neg-mul-1` `sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `associate--r+`

Counts

4 → 77

Calls

4 calls:

3.0ms	(- (* x 2.0) (fma (* t (* y 9.0)) z (* (- 27.0) (* a b))))
6.0ms	(* t (* y 9.0))
8.0ms	(* (- 27.0) (* a b))
0.0ms	(fma (* t (* y 9.0)) z (* (- 27.0) (* a b)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- (* x 2.0) (fma (* t (* y 9.0)) z (* (- 27.0) (* a b))))
20.0ms	(* t (* y 9.0))
21.0ms	(* (- 27.0) (* a b))
77.0ms	(fma (* t (* y 9.0)) z (* (- 27.0) (* a b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	363	613
1	1344	495
2	5001	489

prune248.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes547.0ms

Accuracy

2.8% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 3.5b

bsearch121.0ms

Steps

Iters	Range		Point
8	1.3375994405378646e+71	5.57034571070559e+75	2.897729085206546e+73
8	-2.6017636446768606e-257	-1.4385590641224804e-261	-1.1154914213683659e-260

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	26
1	58	26
2	65	26
3	65	26

end0.0ms

sample824.0ms

Algorithm

intervals

Results

453.0ms

11068×

body

valid