Details

sample73.0ms

Algorithm

intervals

Results

36.0ms

524×

body

valid

simplify158.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.0b	(* (* (* x 18.0) y) z)

rewrite27.0ms

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×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series174.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
113.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune343.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.0b	(* (* (* x 18.0) y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 18.0) y)
111.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune343.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.5b

localize25.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (* x 18.0) y) z)
9.6b	(cbrt (* j (* 27.0 k)))
9.6b	(cbrt (* j (* 27.0 k)))
9.6b	(cbrt (* j (* 27.0 k)))

rewrite19.0ms

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×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* (* x 18.0) y) z)
94.0ms	(cbrt (* j (* 27.0 k)))
97.0ms	(cbrt (* j (* 27.0 k)))
93.0ms	(cbrt (* j (* 27.0 k)))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	235	317
1	974	268
2	5002	244

prune397.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.5b

localize38.0ms

Local error

Found 4 expressions with local error:

2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.0b	(* (* (* x 18.0) y) z)
9.6b	(cbrt (* j (* 27.0 k)))
9.6b	(cbrt (* j (* 27.0 k)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`cbrt-prod` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)
4.0ms	(cbrt (* j (* 27.0 k)))
4.0ms	(cbrt (* j (* 27.0 k)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
30.0ms	(* (* (* x 18.0) y) z)
93.0ms	(cbrt (* j (* 27.0 k)))
97.0ms	(cbrt (* j (* 27.0 k)))

simplify52.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	366	464
1	1584	401
2	5001	385

prune412.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.5b

regimes1.2s

Accuracy

-24.2% (4.2b remaining)

Error of 6.2b against oracle of 2.0b and baseline of 5.4b

bsearch203.0ms

Steps

Iters	Range		Point
6	3.408011314678464e-73	2.7379472383092327e-72	4.0059573836352845e-73
8	1.4433187213430084e-221	7.175698411901817e-218	7.066998156185708e-218

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	25
1	72	25
2	75	25
3	75	25

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

15983×

body

valid