Details

sample85.0ms

Algorithm

intervals

Results

46.0ms

527×

body

valid

simplify72.0ms

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: 5.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.8b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
3.8b	(* (* (* x 18.0) y) z)

rewrite20.0ms

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:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
1.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
7.0ms	(* (* (* x 18.0) y) z)

series2.9s

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 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))))
29.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune353.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.8b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.8b	(* (* (* x 18.0) y) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
10.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series198.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
121.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
33.0ms	(* (* (* x 18.0) y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	428	526
1	2218	446
2	5001	446

prune423.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
3.8b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
3.8b	(* (* (* x 18.0) y) z)

rewrite20.0ms

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:

5.0ms	(* (* x 18.0) y)
5.0ms	(* j (* 27.0 k))
1.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
7.0ms	(* (* (* 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))
2.9s	(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)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune346.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.5b

localize34.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (* (* x 18.0) y) z)
15.4b	(cbrt (* (* (* x 18.0) y) z))
15.4b	(cbrt (* (* (* x 18.0) y) z))
15.4b	(cbrt (* (* (* x 18.0) y) z))

rewrite26.0ms

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:

7.0ms	(* (* (* x 18.0) y) z)
6.0ms	(cbrt (* (* (* x 18.0) y) z))
6.0ms	(cbrt (* (* (* x 18.0) y) z))
6.0ms	(cbrt (* (* (* x 18.0) y) z))

series404.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (* x 18.0) y) z)
122.0ms	(cbrt (* (* (* x 18.0) y) z))
122.0ms	(cbrt (* (* (* x 18.0) y) z))
124.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (35.0ms)

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

prune415.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.5b

regimes1.3s

Accuracy

46.3% (1.9b remaining)

Error of 4.2b against oracle of 2.3b and baseline of 5.8b

bsearch270.0ms

Steps

Iters	Range		Point
6	1.068006089451715e-105	6.0260947684503345e-105	4.593777986709948e-105
10	-1.9228342056802042e+112	-3.1235673205625167e+96	-3.688828535302609e+97

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	24
1	54	24

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

16051×

body

valid