Details

sample887.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 88.28125%

Guaranteed chance to sample good point: 4.0625%

Results

31.0ms	298×	body	80	invalid
30.0ms	256×	body	80	valid

simplify172.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.6b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.2b	(* (* (* x 18.0) y) z)

rewrite26.0ms

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)
8.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)

series54.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
37.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)

simplify82.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (16.0ms)

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

prune171.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 2.7b

Counts

94 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.2b	(* (* (* x 18.0) y) z)

rewrite29.0ms

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:

7.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* j (* 27.0 k))
3.0ms	(* (* x 18.0) y)
23.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)

simplify75.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (15.0ms)

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

prune151.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 2.7b

Counts

101 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x 4.0) i) (* (* j 27.0) k))
0.4b	(* (* j 27.0) k)
2.9b	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
5.3b	(* (* x 18.0) (* y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (* (* x 4.0) i) (* (* j 27.0) k))
5.0ms	(* (* j 27.0) k)
8.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
6.0ms	(* (* x 18.0) (* y z))

series45.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* (* x 4.0) i) (* (* j 27.0) k))
3.0ms	(* (* j 27.0) k)
24.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
6.0ms	(* (* x 18.0) (* y z))

simplify75.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	456	517
1	2097	440
2	5001	440

prune154.0ms

Filtered

50 candidates to 87 candidates (-74.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	86	9	95

Merged error: 2.7b

Counts

95 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 27.0 (* k j)) (* 4.0 (* i x)))
0.2b	(* 27.0 (* k j))
2.9b	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
5.3b	(* (* x 18.0) (* y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

5.0ms	(+ (* 27.0 (* k j)) (* 4.0 (* i x)))
4.0ms	(* 27.0 (* k j))
9.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
8.0ms	(* (* x 18.0) (* y z))

series45.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* 27.0 (* k j)) (* 4.0 (* i x)))
3.0ms	(* 27.0 (* k j))
23.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
6.0ms	(* (* x 18.0) (* y z))

simplify68.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	441	516
1	2024	439
2	5002	439

prune89.0ms

Filtered

51 candidates to 87 candidates (-70.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	86	10	96

Merged error: 2.7b

Counts

96 → 10

regimes2.5s

Accuracy

46.6% (2.1b remaining)

Error of 4.3b against oracle of 2.2b and baseline of 6.1b

bsearch82.0ms

Steps

Iters	Range		Point
10	1.6084155688125507e+32	5.522544869746599e+48	3.6526659970394976e+40

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	33
1	66	33

end0.0ms

sample3.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 88.28125%

Guaranteed chance to sample good point: 4.0625%

Results

752.0ms	8313×	body	80	invalid
720.0ms	8000×	body	80	valid

Details

sample887.0ms

simplify172.0ms

prune15.0ms

localize23.0ms

rewrite26.0ms

series54.0ms

simplify82.0ms

prune171.0ms

localize20.0ms

rewrite29.0ms

series36.0ms

simplify75.0ms

prune151.0ms

localize21.0ms

rewrite28.0ms

series45.0ms

simplify75.0ms

prune154.0ms

localize21.0ms

rewrite28.0ms

series45.0ms

simplify68.0ms

prune89.0ms

regimes2.5s

bsearch82.0ms

simplify2.0ms

end0.0ms

sample3.5s

Profiling