Details

analyze49.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	950	9
1	950	9

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`associate-l`
6×	`add-cube-cbrt` `associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`times-frac` `*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

6.0ms	(- x (/ 16.0 116.0))
9.0ms	(* (- x (/ 16.0 116.0)) 3.0)
10.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series12.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(- x (/ 16.0 116.0))
4.0ms	(* (- x (/ 16.0 116.0)) 3.0)
6.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5099	586

prune105.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	58	10	68

Merged error: 0b

Counts

68 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `times-frac` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 37

Calls

2 calls:

6.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(- x (/ 16.0 116.0))
8.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5099	401

prune68.0ms

Filtered

25 candidates to 43 candidates (-72.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	43	10	53

Merged error: 0b

Counts

53 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
10.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
12.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
14.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4939	1310
1	4939	1310

prune221.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	84	10	94

Merged error: 0b

Counts

94 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
9.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
9.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
9.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
21.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
24.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
21.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4967	1624
1	4967	1624

prune213.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	84	10	94

Merged error: 0b

Counts

94 → 10

regimes314.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample358.0ms

Algorithm

intervals

Results

231.0ms	8000×	body	80	valid
2.0ms	82×	body	80	invalid

Details

analyze49.0ms

sample18.0ms

simplify45.0ms

prune8.0ms

localize6.0ms

rewrite27.0ms

series12.0ms

simplify47.0ms

prune105.0ms

localize6.0ms

rewrite18.0ms

series10.0ms

simplify34.0ms

prune68.0ms

localize11.0ms

rewrite32.0ms

series45.0ms

simplify57.0ms

prune221.0ms

localize11.0ms

rewrite36.0ms

series102.0ms

simplify57.0ms

prune213.0ms

regimes314.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample358.0ms

Profiling