Details

sample76.0ms

Algorithm

intervals

Results

40.0ms

495×

body

valid

simplify77.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.4b	(* (* x 18.0) y)
1.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.4b	(* (* (* 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:

10.0ms	(* (* j 27.0) k)
7.0ms	(* (* x 18.0) y)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
22.0ms	(* (* (* x 18.0) y) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
3.0s	(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)

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

prune363.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.4b	(* (* x 18.0) y)
3.4b	(* (* (* (* x 18.0) y) z) t)
6.4b	(* (* (* x 18.0) y) z)

rewrite115.0ms

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:

6.0ms	(* (* x 4.0) i)
7.0ms	(* (* x 18.0) y)
78.0ms	(* (* (* (* x 18.0) y) z) t)
21.0ms	(* (* (* x 18.0) y) z)

series126.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 4.0) i)
22.0ms	(* (* x 18.0) y)
52.0ms	(* (* (* (* x 18.0) y) z) t)
30.0ms	(* (* (* x 18.0) y) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	363	453
1	2132	350
2	5002	350

prune375.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.4b	(* j (* 27.0 k))
1.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
6.4b	(* (* (* x 18.0) y) z)

rewrite40.0ms

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:

7.0ms	(* (* 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)))))
25.0ms	(* (* (* x 18.0) y) z)

series3.0s

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 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)))))
30.0ms	(* (* (* x 18.0) y) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

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

prune370.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

6.4b	(* (* (* x 18.0) y) z)
9.4b	(cbrt (* j (* 27.0 k)))
9.4b	(cbrt (* j (* 27.0 k)))
9.4b	(cbrt (* j (* 27.0 k)))

rewrite36.0ms

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)
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))
5.0ms	(cbrt (* j (* 27.0 k)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* (* x 18.0) y) z)
108.0ms	(cbrt (* j (* 27.0 k)))
108.0ms	(cbrt (* j (* 27.0 k)))
107.0ms	(cbrt (* j (* 27.0 k)))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	239	349
1	984	300
2	5001	276

prune400.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

regimes1.0s

Accuracy

20.9% (4.3b remaining)

Error of 5.1b against oracle of 0.8b and baseline of 6.2b

bsearch349.0ms

Steps

Iters	Range	Point
6	2.723856949694799e-105	2.551025948086839e-104	8.871261806498495e-105
9	3.2424715349567815e-197	2.5782657933187486e-192	4.814264278569085e-197
5	-4.314990309868086e-122	-1.1368067314492313e-122	-1.6754953310686585e-122

Iters

Range

Point

2.723856949694799e-105

2.551025948086839e-104

8.871261806498495e-105

3.2424715349567815e-197

2.5782657933187486e-192

4.814264278569085e-197

-4.314990309868086e-122

-1.1368067314492313e-122

-1.6754953310686585e-122

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	74
1	78	74

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

16194×

body

valid