Details

sample43.0ms

Algorithm

intervals

Results

25.0ms

359×

body

valid

simplify83.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize13.0ms

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	(* (* a 27.0) b)
6.6b	(* (* (* y 9.0) z) t)

rewrite39.0ms

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:

2.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
7.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
21.0ms	(* (* (* y 9.0) z) t)

series141.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
17.0ms	(* (* y 9.0) z)
24.0ms	(* (* 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

prune191.0ms

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	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* 27.0 (* a b))
6.6b	(* (* (* 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-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

2.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
6.0ms	(* (* y 9.0) z)
6.0ms	(* 27.0 (* a b))
21.0ms	(* (* (* y 9.0) z) t)

series136.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
17.0ms	(* (* y 9.0) z)
23.0ms	(* 27.0 (* a b))
25.0ms	(* (* (* y 9.0) z) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	336	370
1	1577	308
2	5001	308

prune210.0ms

Pruning

8 alts after pruning (8 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))
6.6b	(* t (* z y))

rewrite31.0ms

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))))
15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

series149.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* 2.0 x) (* 9.0 (* t (* z y))))
28.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* 27.0 (* a b))
29.0ms	(* t (* z y))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

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

prune205.0ms

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	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (pow (* 27.0 (* a b)) 1))
0.0b	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
0.3b	(* 27.0 (* a b))
6.6b	(* (* 9.0 t) (* z y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

17.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (pow (* 27.0 (* a b)) 1))
3.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
6.0ms	(* 27.0 (* a b))
10.0ms	(* (* 9.0 t) (* z y))

series281.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (pow (* 27.0 (* a b)) 1))
74.0ms	(- (* 2.0 x) (* (* 9.0 t) (* z y)))
20.0ms	(* 27.0 (* a b))
29.0ms	(* (* 9.0 t) (* z y))

simplify59.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	370	516
1	1629	451
2	5001	451

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes552.0ms

Accuracy

85.6% (0.5b remaining)

Error of 0.5b 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	56	30
1	56	30

end0.0ms

sample1.2s

Algorithm

intervals

Results

796.0ms

11033×

body

valid