Details

sample128.0ms

Algorithm

intervals

Results

88.0ms

516×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
2.9b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.9b	(* (* (* 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:

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)

series3.0s

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
35.0ms	(* (* 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)

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

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

prune386.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x (* z y)))
0.4b	(* (* j 27.0) k)
2.9b	(fma t (- (* 18.0 (* x (* z y))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.8b	(* x (* z y))

rewrite30.0ms

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:

15.0ms	(* 18.0 (* x (* z y)))
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* 18.0 (* x (* z y))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.0ms	(* x (* z y))

series3.0s

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 18.0 (* x (* z y)))
19.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* 18.0 (* x (* z y))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms	(* x (* z y))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	301	443
1	1223	360
2	5002	360

prune380.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* x z) y))
0.4b	(* (* j 27.0) k)
2.9b	(fma t (- (* 18.0 (* (* x z) y)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.9b	(* (* x z) y)

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:

17.0ms	(* 18.0 (* (* x z) y))
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* 18.0 (* (* x z) y)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* (* x z) y)

series3.0s

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 18.0 (* (* x z) y))
33.0ms	(* (* j 27.0) k)
2.9s	(fma t (- (* 18.0 (* (* x z) y)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
28.0ms	(* (* x z) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	317	445
1	1491	362
2	5001	362

prune377.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.7b

localize32.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* x z) y)
13.8b	(cbrt (* (* x z) y))
13.8b	(cbrt (* (* x z) y))
13.8b	(cbrt (* (* x z) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
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` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (* x z) y)
5.0ms	(cbrt (* (* x z) y))
5.0ms	(cbrt (* (* x z) y))
5.0ms	(cbrt (* (* x z) y))

series336.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x z) y)
96.0ms	(cbrt (* (* x z) y))
105.0ms	(cbrt (* (* x z) y))
107.0ms	(cbrt (* (* x z) y))

simplify82.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	188	316
1	732	268
2	3240	259
3	5001	240

prune430.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.7b

regimes1.0s

Accuracy

21.4% (2.7b remaining)

Error of 4.8b against oracle of 2.0b and baseline of 5.5b

bsearch351.0ms

Steps

Iters	Range		Point
8	4.772047540529305e-08	3.277893638731771e-05	4.827186882040516e-08
10	-8.815481095108949e-65	-8.515155140134488e-80	-3.8707220913250884e-78

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	42
1	67	42
2	67	42

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.7s

16423×

body

valid