Details

sample75.0ms

Algorithm

intervals

Results

37.0ms

520×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.1b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.4b	(* (* (* x 18.0) y) z)

rewrite42.0ms

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

series2.9s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
20.0ms	(* (* 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))))
28.0ms	(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (14.0ms)

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

prune398.0ms

Filtered

85 candidates to 54 candidates (63.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
3.1b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.4b	(* (* (* x 18.0) y) z)

rewrite39.0ms

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

series3.1s

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
19.0ms	(* j (* 27.0 k))
3.0s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
34.0ms	(* (* (* x 18.0) y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (14.0ms)

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

prune394.0ms

Filtered

85 candidates to 53 candidates (62.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize27.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* x 18.0) y) z)
9.9b	(cbrt (* (* j 27.0) k))
9.9b	(cbrt (* (* j 27.0) k))
9.9b	(cbrt (* (* j 27.0) k))

rewrite44.0ms

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:

26.0ms	(* (* (* x 18.0) y) z)
5.0ms	(cbrt (* (* j 27.0) k))
6.0ms	(cbrt (* (* j 27.0) k))
6.0ms	(cbrt (* (* j 27.0) k))

series360.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* (* x 18.0) y) z)
109.0ms	(cbrt (* (* j 27.0) k))
110.0ms	(cbrt (* (* j 27.0) k))
111.0ms	(cbrt (* (* j 27.0) k))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

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

prune461.0ms

Filtered

68 candidates to 55 candidates (80.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* 18.0 (* x (* z y)))
3.1b	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.6b	(* x (* z y))

rewrite32.0ms

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* j 27.0) k)
16.0ms	(* 18.0 (* x (* z y)))
0.0ms	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.0ms	(* x (* z y))

series3.1s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* j 27.0) k)
31.0ms	(* 18.0 (* x (* z y)))
3.0s	(fma t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
30.0ms	(* x (* z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	305	456
1	1270	370
2	5002	370

prune366.0ms

Filtered

85 candidates to 52 candidates (61.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.2b

regimes1.3s

Accuracy

52.4% (1.6b remaining)

Error of 3.7b against oracle of 2.1b and baseline of 5.5b

bsearch292.0ms

Steps

Iters	Range		Point
6	2.5835108011985435e+43	1.441937794847066e+44	3.140223890519857e+43
10	-4.593434291790004e+143	-4.43326845530808e+129	-4.1584663741439435e+131

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	25
1	60	25

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16184×

body

valid