Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

334×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5189	11

prune11.0ms

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ t y) y)
0.0b	(+ x (/ (- (/ t y) y) (* z 3.0)))
3.9b	(/ (- (/ t y) y) (* z 3.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`associate-/l*` `difference-of-squares`
5×	`add-cube-cbrt`
3×	`pow1` `distribute-lft-out--`
2×	`cbrt-undiv` `flip3--` `div-sub` `div-exp` `flip--` `associate-/l/`
1×	`+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 58

Calls

3 calls:

10.0ms	(- (/ t y) y)
10.0ms	(+ x (/ (- (/ t y) y) (* z 3.0)))
10.0ms	(/ (- (/ t y) y) (* z 3.0))

series34.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (/ t y) y)
19.0ms	(+ x (/ (- (/ t y) y) (* z 3.0)))
11.0ms	(/ (- (/ t y) y) (* z 3.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5385	754

prune94.0ms

Filtered

49 candidates to 67 candidates (-36.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ t y) y)
0.0b	(+ x (/ (/ (- (/ t y) y) z) 3.0))
0.3b	(/ (/ (- (/ t y) y) z) 3.0)
3.6b	(/ (- (/ t y) y) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
163×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
78×	`add-cube-cbrt`
34×	`difference-of-squares`
28×	`associate-/l*`
17×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`associate-/r*` `div-inv`
5×	`div-sub`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 177

Calls

4 calls:

7.0ms	(- (/ t y) y)
24.0ms	(+ x (/ (/ (- (/ t y) y) z) 3.0))
13.0ms	(/ (/ (- (/ t y) y) z) 3.0)
9.0ms	(/ (- (/ t y) y) z)

series44.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (/ t y) y)
19.0ms	(+ x (/ (/ (- (/ t y) y) z) 3.0))
11.0ms	(/ (/ (- (/ t y) y) z) 3.0)
9.0ms	(/ (- (/ t y) y) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5424	2874

prune203.0ms

Filtered

142 candidates to 189 candidates (-33.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	190	5	195

Merged error: 0.0b

Counts

195 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (* 3.0 (/ z (- (/ t y) y)))))
0.3b	(* 3.0 (/ z (- (/ t y) y)))
0.4b	(/ 1 (* 3.0 (/ z (- (/ t y) y))))
3.7b	(/ z (- (/ t y) y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
47×	`times-frac`
45×	`*-un-lft-identity`
32×	`add-exp-log`
28×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
14×	`difference-of-squares`
11×	`div-exp`
9×	`pow1`
8×	`prod-exp`
7×	`associate-/r*` `distribute-lft-out--`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp`
5×	`associate-/r/`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `associate-l`
2×	`flip3--` `pow-flip` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `flip--` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

6.0ms	(+ x (/ 1 (* 3.0 (/ z (- (/ t y) y)))))
13.0ms	(* 3.0 (/ z (- (/ t y) y)))
12.0ms	(/ 1 (* 3.0 (/ z (- (/ t y) y))))
8.0ms	(/ z (- (/ t y) y))

series52.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ x (/ 1 (* 3.0 (/ z (- (/ t y) y)))))
11.0ms	(* 3.0 (/ z (- (/ t y) y)))
12.0ms	(/ 1 (* 3.0 (/ z (- (/ t y) y))))
10.0ms	(/ z (- (/ t y) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4967	1549
1	4967	1549

prune131.0ms

Filtered

97 candidates to 142 candidates (-46.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	142	5	147

Merged error: 0.0b

Counts

147 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* z (sqrt 3.0)))
0.4b	(* z (sqrt 3.0))
0.4b	(/ (- (/ t y) y) (sqrt 3.0))
3.8b	(* (/ (- (/ t y) y) (sqrt 3.0)) (/ 1 (* z (sqrt 3.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
93×	`times-frac`
77×	`*-un-lft-identity`
64×	`add-exp-log`
51×	`add-cube-cbrt`
44×	`sqrt-prod`
43×	`associate-l`
34×	`add-cbrt-cube`
26×	`difference-of-squares`
24×	`prod-exp`
20×	`div-exp`
13×	`associate-r` `distribute-lft-out--`
11×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
9×	`associate-/l*`
7×	`associate-/r*`
6×	`rec-exp` `1-exp`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3--` `div-sub` `associate-r/` `associate-l/` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 196

Calls

4 calls:

5.0ms	(/ 1 (* z (sqrt 3.0)))
5.0ms	(* z (sqrt 3.0))
10.0ms	(/ (- (/ t y) y) (sqrt 3.0))
22.0ms	(* (/ (- (/ t y) y) (sqrt 3.0)) (/ 1 (* z (sqrt 3.0))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 1 (* z (sqrt 3.0)))
4.0ms	(* z (sqrt 3.0))
10.0ms	(/ (- (/ t y) y) (sqrt 3.0))
30.0ms	(* (/ (- (/ t y) y) (sqrt 3.0)) (/ 1 (* z (sqrt 3.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6160	2376

prune245.0ms

Filtered

119 candidates to 208 candidates (-74.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	208	5	213

Merged error: 0.0b

Counts

213 → 5

regimes488.0ms

Accuracy

89.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 4.0b

bsearch50.0ms

Steps

Iters	Range		Point
8	1.5396940515912984e+25	1.4512583055483518e+29	4.6861036274789447e+27
8	-1.8826083126211023e-07	-1.932975031255036e-10	-1.8595142289576375e-07

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	35
1	48	35

end0.0ms

sample1.0s

Algorithm

intervals

Results

494.0ms

11043×

body

valid

Details

sample34.0ms

simplify68.0ms

prune11.0ms

localize9.0ms

rewrite32.0ms

series34.0ms

simplify41.0ms

prune94.0ms

localize9.0ms

rewrite64.0ms

series44.0ms

simplify52.0ms

prune203.0ms

localize10.0ms

rewrite47.0ms

series52.0ms

simplify70.0ms

prune131.0ms

localize14.0ms

rewrite52.0ms

series50.0ms

simplify56.0ms

prune245.0ms

regimes488.0ms

bsearch50.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling