Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	6
1	52	6
2	117	6
3	240	6
4	478	6
5	947	6
6	1844	6
7	5001	6

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 16.3b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (- x y) (+ x y))
16.4b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l/`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `fma-def` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
8.0ms	(* (- x y) (+ x y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (* x x) (* y y))
39.0ms	(* (- x y) (+ x y))
63.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	435	575
1	2499	504
2	5001	494

prune169.0ms

Filtered

89 candidates to 68 candidates (76.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0.2b

Counts

91 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) y)
0.0b	(+ (* (- x y) x) (* (- x y) y))
0.0b	(* (- x y) x)
16.4b	(/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`associate-*l/`
17×	`add-cube-cbrt`
12×	`times-frac`
10×	`add-exp-log` `flip3--` `associate-l` `add-cbrt-cube` `flip--`
8×	`pow1` `frac-add`
6×	`associate-r` `associate-/l/` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* (- x y) y)
7.0ms	(+ (* (- x y) x) (* (- x y) y))
6.0ms	(* (- x y) x)
12.0ms	(/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- x y) y)
30.0ms	(+ (* (- x y) x) (* (- x y) y))
37.0ms	(* (- x y) x)
50.0ms	(/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	495	928
1	2352	820
2	5001	802

prune227.0ms

Filtered

120 candidates to 91 candidates (75.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (+ x y) 1) (hypot x y))
0.0b	(/ (- x y) (hypot x y))
0.0b	(* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`add-exp-log` `*-un-lft-identity`
37×	`times-frac`
31×	`add-cbrt-cube`
26×	`add-cube-cbrt`
19×	`associate-l`
14×	`div-exp` `prod-exp`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
7×	`associate-r` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r` `associate-/l`
5×	`pow1`
4×	`div-inv` `associate-/l/`
3×	`expm1-log1p-u` `1-exp` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`frac-times` `flip3--` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `-commutative` `flip--` `flip-+`

Counts

3 → 122

Calls

3 calls:

6.0ms	(/ (* (+ x y) 1) (hypot x y))
6.0ms	(/ (- x y) (hypot x y))
14.0ms	(* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (* (+ x y) 1) (hypot x y))
90.0ms	(/ (- x y) (hypot x y))
89.0ms	(* (/ (- x y) (hypot x y)) (/ (* (+ x y) 1) (hypot x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	499	1006
1	2193	852
2	5001	845

prune211.0ms

Filtered

131 candidates to 92 candidates (70.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	132	4	136

Merged error: 0b

Counts

136 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (hypot x y))
0.0b	(log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))))
0.0b	(/ (- x y) (hypot x y))
0.0b	(pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
54×	`times-frac`
43×	`add-cube-cbrt`
20×	`pow-pow`
19×	`exp-prod`
16×	`pow-unpow`
9×	`add-exp-log` `associate-/l*`
8×	`add-cbrt-cube`
7×	`log-prod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`unpow-prod-down` `associate-/r*`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
3×	`rem-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-exp` `clear-num` `sqr-pow`
1×	`flip3--` `flip3-+` `div-sub` `log-pow` `flip--` `flip-+`

Counts

4 → 146

Calls

4 calls:

5.0ms	(/ (+ x y) (hypot x y))
7.0ms	(log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))))
6.0ms	(/ (- x y) (hypot x y))
12.0ms	(pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (+ x y) (hypot x y))
178.0ms	(log (pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y))))
85.0ms	(/ (- x y) (hypot x y))
168.0ms	(pow (exp (/ (- x y) (hypot x y))) (/ (+ x y) (hypot x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	460	1213
1	1894	1139
2	5002	1133

prune347.0ms

Filtered

158 candidates to 120 candidates (75.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	158	4	162

Merged error: 0b

Counts

162 → 4

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample617.0ms

Algorithm

intervals

Results

316.0ms	8000×	body	80	valid
156.0ms	8000×	pre	80	true

Details

sample25.0ms

simplify73.0ms

prune7.0ms

localize12.0ms

rewrite26.0ms

series128.0ms

simplify69.0ms

prune169.0ms

localize11.0ms

rewrite38.0ms

series152.0ms

simplify76.0ms

prune227.0ms

localize10.0ms

rewrite31.0ms

series266.0ms

simplify54.0ms

prune211.0ms

localize13.0ms

rewrite38.0ms

series518.0ms

simplify54.0ms

prune347.0ms

regimes37.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample617.0ms

Profiling