Details

sample75.0ms

Algorithm

intervals

Results

37.0ms

553×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
2.5b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.0b	(* (* (* x 18.0) y) z)

rewrite37.0ms

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	(* (* 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)

series2.9s

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
33.0ms	(* (* x 18.0) y)
2.8s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
31.0ms	(* (* (* x 18.0) y) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune371.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
2.5b	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.0b	(* (* x (* 18.0 y)) z)

rewrite33.0ms

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

series2.8s

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
19.0ms	(* x (* 18.0 y))
2.8s	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
27.0ms	(* (* x (* 18.0 y)) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	324	447
1	1471	364
2	5001	364

prune334.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* j (* 27.0 k))
2.5b	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
5.0b	(* (* x (* 18.0 y)) z)

rewrite33.0ms

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:

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

series2.9s

Counts

4 → 12

Calls

4 calls:

33.0ms	(* x (* 18.0 y))
18.0ms	(* 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)))))
29.0ms	(* (* x (* 18.0 y)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	316	446
1	1360	363
2	5001	363

prune351.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)
4.6b	(* (* (* (* x 18.0) y) z) t)
5.0b	(* (* (* x 18.0) y) z)

rewrite119.0ms

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)
7.0ms	(* (* a 4.0) t)
82.0ms	(* (* (* (* x 18.0) y) z) t)
22.0ms	(* (* (* x 18.0) y) z)

series121.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
20.0ms	(* (* a 4.0) t)
44.0ms	(* (* (* (* x 18.0) y) z) t)
31.0ms	(* (* (* x 18.0) y) z)

simplify70.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	453
1	2122	350
2	5002	350

prune334.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes1.2s

Accuracy

23.6% (3.3b remaining)

Error of 4.1b against oracle of 0.8b and baseline of 5.1b

bsearch224.0ms

Steps

Iters	Range		Point
7	9.507611460257847e-263	2.1837404893325915e-260	9.330880948387764e-261
6	-7.6228111104719175e+65	-1.575166489468291e+65	-2.0511004975778285e+65

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	42
1	71	42

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

16100×

body

valid