Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

334×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

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	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
5.2b	(* (* (* 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`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

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

series215.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
18.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5001	383

prune237.0ms

Pruning

15 alts after pruning (15 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))
0.2b	(* (* a 27.0) b)
0.2b	(* y (* 9.0 z))
5.2b	(* (* y (* 9.0 z)) t)

rewrite42.0ms

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-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
7.0ms	(* (* a 27.0) b)
6.0ms	(* y (* 9.0 z))
24.0ms	(* (* y (* 9.0 z)) t)

series138.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
25.0ms	(* (* a 27.0) b)
18.0ms	(* y (* 9.0 z))
27.0ms	(* (* y (* 9.0 z)) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	345	371
1	1692	309
2	5002	309

prune228.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite37.0ms

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`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
7.0ms	(* y (* 9.0 z))
6.0ms	(* 27.0 (* a b))
19.0ms	(* (* y (* 9.0 z)) t)

series145.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
17.0ms	(* y (* 9.0 z))
25.0ms	(* 27.0 (* a b))
27.0ms	(* (* y (* 9.0 z)) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	370
1	1514	308
2	5001	308

prune226.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
5.3b	(* t (* z y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
17.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 27.0 (* a b))
7.0ms	(* t (* z y))

series156.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
28.0ms	(* 9.0 (* t (* z y)))
24.0ms	(* 27.0 (* a b))
26.0ms	(* t (* z y))

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	306	366
1	1203	304
2	5002	304

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes299.0ms

Accuracy

64% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.8b

bsearch141.0ms

Steps

Iters	Range		Point
7	7.536207518846309e-153	1.4128383543043707e-150	1.3766689574579702e-150
10	-3.4093036795145216e+151	-6.684113373660279e+140	-1.4345514448623531e+141

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	17
1	50	17

end0.0ms

sample777.0ms

Algorithm

intervals

Results

422.0ms

10927×

body

valid