Details

sample57.0ms

Algorithm

intervals

Results

21.0ms

350×

body

valid

simplify99.0ms

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: 5.6b

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)
0.5b	(* (* a 27.0) b)
8.1b	(* (* (* y 9.0) z) t)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
16.0ms	(* (* y 9.0) z)
18.0ms	(* (* a 27.0) b)
56.0ms	(* (* (* y 9.0) z) t)

series133.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
17.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
26.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	348	371
1	1755	309
2	5001	309

prune194.0ms

Pruning

9 alts after pruning (9 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))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.5b	(* (* a 27.0) b)
7.3b	(* (* y 9.0) (* z t))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r`
2×	`sub-neg` `associate-+l+` `diff-log` `associate-l` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 67

Calls

4 calls:

32.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
8.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
17.0ms	(* (* a 27.0) b)
29.0ms	(* (* y 9.0) (* z t))

series265.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
71.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
20.0ms	(* (* a 27.0) b)
27.0ms	(* (* y 9.0) (* z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	385	495
1	1778	438
2	5002	438

prune188.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.3b	(* 27.0 (* a b))
7.3b	(* (* y 9.0) (* z t))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l`
2×	`sub-neg` `associate-+l+` `diff-log` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 67

Calls

4 calls:

30.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
10.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
15.0ms	(* 27.0 (* a b))
25.0ms	(* (* y 9.0) (* z t))

series258.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
67.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
22.0ms	(* 27.0 (* a b))
26.0ms	(* (* y 9.0) (* z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	371	494
1	1500	437
2	5001	437

prune179.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))
7.9b	(* t (* z y))

rewrite81.0ms

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:

10.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
40.0ms	(* 9.0 (* t (* z y)))
15.0ms	(* 27.0 (* a b))
15.0ms	(* t (* z y))

series151.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
28.0ms	(* 9.0 (* t (* z y)))
20.0ms	(* 27.0 (* a b))
28.0ms	(* t (* z y))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

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

prune162.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes613.0ms

Accuracy

74.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	28
1	52	28

end0.0ms

sample900.0ms

Algorithm

intervals

Results

410.0ms

10971×

body

valid