Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	276×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.8b	(/ (* 60.0 (- x y)) (- z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
70×	`times-frac`
50×	`add-cube-cbrt`
35×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-l`
18×	`prod-diff`
14×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
7×	`*-commutative` `unswap-sqr`
5×	`pow1` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `fma-udef` `div-inv`

Counts

3 → 165

Calls

3 calls:

7.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

series219.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* 60.0 (- x y))
108.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
76.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify100.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	623	1342
1	2630	1166
2	5001	1164

prune296.0ms

Filtered

174 candidates to 107 candidates (61.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	170	4	174
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	5	175

Merged error: 0.0b

Counts

175 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`div-sub` `fma-udef`

Counts

3 → 222

Calls

3 calls:

9.0ms	(/ (- z t) (- x y))
1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
15.0ms	(/ 60.0 (/ (- z t) (- x y)))

series493.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- z t) (- x y))
118.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
319.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	700	1932
1	3087	1866
2	5001	1862

prune465.0ms

Filtered

231 candidates to 158 candidates (68.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	231	5	236

Merged error: 0.0b

Counts

236 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
29×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`pow1`
4×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`expm1-log1p-u` `associate-l` `clear-num` `un-div-inv` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative` `fma-udef`

Counts

3 → 133

Calls

3 calls:

9.0ms	(/ (- x y) (- z t))
1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
17.0ms	(* 60.0 (/ (- x y) (- z t)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (- x y) (- z t))
113.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
79.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	439	799
1	1747	745
2	5001	743

prune286.0ms

Filtered

142 candidates to 96 candidates (67.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	143	4	147

Merged error: 0.0b

Counts

147 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- z t)) (/ y (- z t)))
0.0b	(/ x (- z t))
0.0b	(fma 120.0 a (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
0.3b	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

2197×	`*-un-lft-identity`
2155×	`add-sqr-sqrt`
1956×	`times-frac`
1323×	`prod-diff`
1255×	`add-cube-cbrt`
465×	`distribute-lft-out--`
445×	`difference-of-squares`
443×	`distribute-rgt-in` `distribute-lft-in`
264×	`associate-/r/`
261×	`associate-/r*`
242×	`frac-sub`
136×	`associate-*r/`
135×	`associate-/l*`
134×	`flip3--` `flip--`
132×	`div-inv`
49×	`frac-2neg`
45×	`clear-num`
26×	`sub-div`
21×	`fma-neg`
18×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `associate-l`
1×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 1731

Calls

4 calls:

53.0ms	(- (/ x (- z t)) (/ y (- z t)))
6.0ms	(/ x (- z t))
1.0ms	(fma 120.0 a (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
93.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(- (/ x (- z t)) (/ y (- z t)))
43.0ms	(/ x (- z t))
130.0ms	(fma 120.0 a (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
181.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

simplify533.0ms

Algorithm

egg-herbie

Counts

1743 → 1743

Iterations

Useful iterations: 1 (90.0ms)

Iter	Nodes	Cost
0	3138	50669
1	5001	43567

prune2.7s

Filtered

1743 candidates to 570 candidates (32.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1742	1	1743
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	1742	5	1747

Merged error: 0b

Counts

1747 → 5

regimes323.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5

end0.0ms

sample638.0ms

Algorithm

intervals

Results

329.0ms	8525×	body	80	valid
9.0ms	50×	body	1280	valid
5.0ms	37×	body	640	valid
4.0ms	21×	body	2560	valid
3.0ms	31×	body	320	valid
1.0ms	12×	body	160	valid