Details

sample79.0ms

Algorithm

intervals

Results

41.0ms

529×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune14.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
5.4b	(* (* (* (* x 18.0) y) z) t)
5.9b	(* (* (* x 18.0) y) z)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
79.0ms	(* (* (* (* x 18.0) y) z) t)
21.0ms	(* (* (* x 18.0) y) z)

series329.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
257.0ms	(* (* (* (* x 18.0) y) z) t)
30.0ms	(* (* (* x 18.0) y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	368	453
1	2141	350
2	5001	350

prune355.0ms

Filtered

101 candidates to 54 candidates (53.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.4b	(* (* j 27.0) k)
5.0b	(* (* x 18.0) (* y z))
5.4b	(* (* (* x 18.0) (* y z)) t)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 97

Calls

4 calls:

1.4s	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* j 27.0) k)
10.0ms	(* (* x 18.0) (* y z))
35.0ms	(* (* (* x 18.0) (* y z)) t)

series519.0ms

Counts

4 → 12

Calls

4 calls:

422.0ms	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
19.0ms	(* (* j 27.0) k)
29.0ms	(* (* x 18.0) (* y z))
48.0ms	(* (* (* x 18.0) (* y z)) t)

simplify88.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	507	818
1	2576	645
2	5002	644

prune429.0ms

Filtered

109 candidates to 60 candidates (55.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.4b	(* (* j 27.0) k)
3.6b	(* (* y z) t)
5.7b	(* (* x 18.0) (* (* y z) t))

rewrite891.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 94

Calls

4 calls:

853.0ms	(- (+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* j 27.0) k)
6.0ms	(* (* y z) t)
21.0ms	(* (* x 18.0) (* (* y z) t))

series529.0ms

Counts

4 → 12

Calls

4 calls:

432.0ms	(- (+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
19.0ms	(* (* j 27.0) k)
29.0ms	(* (* y z) t)
48.0ms	(* (* x 18.0) (* (* y z) t))

simplify84.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	502	778
1	2530	629
2	5003	622

prune462.0ms

Filtered

106 candidates to 63 candidates (59.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.4b	(* j (* 27.0 k))
5.0b	(* (* x 18.0) (* y z))
5.4b	(* (* (* x 18.0) (* y z)) t)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`fma-neg` `prod-diff` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 97

Calls

4 calls:

1.4s	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* j (* 27.0 k))
13.0ms	(* (* x 18.0) (* y z))
33.0ms	(* (* (* x 18.0) (* y z)) t)

series531.0ms

Counts

4 → 12

Calls

4 calls:

431.0ms	(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
20.0ms	(* j (* 27.0 k))
29.0ms	(* (* x 18.0) (* y z))
52.0ms	(* (* (* x 18.0) (* y z)) t)

simplify84.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	499	817
1	2465	644
2	5002	643

prune383.0ms

Filtered

109 candidates to 60 candidates (55.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

76.6% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 6.2b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	66
1	73	66

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

16162×

body

valid