Details

sample80.0ms

Algorithm

intervals

Results

41.0ms

539×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.0b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.9b	(* (* (* x 18.0) y) z)

rewrite41.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
25.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
33.0ms	(* (* (* x 18.0) y) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364

prune360.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
4.0b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.9b	(* (* (* x 18.0) y) z)

rewrite36.0ms

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*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
21.0ms	(* (* (* x 18.0) y) z)

series2.9s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
32.0ms	(* j (* 27.0 k))
2.8s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
30.0ms	(* (* (* x 18.0) y) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	318	446
1	1546	363
2	5002	363

prune346.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.9b

localize28.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* (* x 18.0) y) z)
16.5b	(cbrt (* (* (* x 18.0) y) z))
16.5b	(cbrt (* (* (* x 18.0) y) z))
16.5b	(cbrt (* (* (* x 18.0) y) z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

21.0ms	(* (* (* x 18.0) y) z)
19.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))

series396.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* (* x 18.0) y) z)
121.0ms	(cbrt (* (* (* x 18.0) y) z))
121.0ms	(cbrt (* (* (* x 18.0) y) z))
125.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	246	412
1	1058	357
2	5002	348

prune455.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.9b

localize31.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
12.2b	(cbrt (* (* x 18.0) y))
12.2b	(cbrt (* (* x 18.0) y))
12.2b	(cbrt (* (* x 18.0) y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

62.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
5.0ms	(cbrt (* (* x 18.0) y))
5.0ms	(cbrt (* (* x 18.0) y))
5.0ms	(cbrt (* (* x 18.0) y))

series414.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
108.0ms	(cbrt (* (* x 18.0) y))
108.0ms	(cbrt (* (* x 18.0) y))
109.0ms	(cbrt (* (* x 18.0) y))

simplify125.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	216	582
1	838	444
2	4378	357
3	5001	350

prune384.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.9b

regimes1.1s

Accuracy

21% (2.6b remaining)

Error of 4.6b against oracle of 2.1b and baseline of 5.3b

bsearch290.0ms

Steps

Iters	Range		Point
10	7.320640770367206e-77	3.336902614120168e-65	7.732515616110861e-74
9	-1.914745193141477e-208	-2.399680721891628e-217	-1.8302124763685636e-208

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	44
1	65	44
2	65	44

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16045×

body

valid