Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	212×	body	80	valid
2.0ms	19×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	3×	body	1280	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	35	5
2	74	5
3	128	5
4	252	5
5	374	5
6	514	5
7	642	5
8	777	5
9	1010	5
10	1686	5
11	5002	5

prune3.0ms

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: 19.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
3.4b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.3b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

10.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (- 1.0 x) y)
11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	338	401
1	1456	359
2	5001	359

prune109.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.1b

Counts

73 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
0.0b	(/ y (+ y 1.0))
3.4b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

12.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
5.0ms	(/ y (+ y 1.0))
3.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series22.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
2.0ms	(/ y (+ y 1.0))
13.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	400	572
1	1790	526
2	5001	526

prune115.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Merged error: 0.1b

Counts

101 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

3.4b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.3b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.3b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.3b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt` `times-frac` `associate-/r*`
10×	`add-cube-cbrt`
6×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/` `associate-/l/` `distribute-lft-out` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*`
1×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series33.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	287	648
1	1151	575
2	5001	574

prune234.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0.1b

Counts

111 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

8.3b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.3b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.3b	(/ (* (- 1.0 x) y) (+ y 1.0))
13.4b	(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (+ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (+ (/ (* (- 1.0 x) y) (+ y 1.0)) 1.0)) (* 1.0 1.0)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
87×	`times-frac`
64×	`difference-of-squares`
48×	`unpow-prod-down` `cube-prod`
40×	`add-cube-cbrt`
32×	`sqr-pow`
28×	`associate-/l*`
21×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--`
15×	`associate-/r*`
8×	`associate-/r/` `associate-/l/`
7×	`cbrt-undiv` `div-exp`
6×	`associate-*l/` `distribute-lft-out`
4×	`pow1` `difference-cubes` `flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 201

Calls

4 calls:

8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
44.0ms	(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (+ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (+ (/ (* (- 1.0 x) y) (+ y 1.0)) 1.0)) (* 1.0 1.0)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
6.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
153.0ms	(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (+ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (+ (/ (* (- 1.0 x) y) (+ y 1.0)) 1.0)) (* 1.0 1.0)))

simplify117.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	660	4788
1	2954	4635
2	5001	4633

prune646.0ms

Filtered

135 candidates to 213 candidates (-57.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	213	4	217

Merged error: 0.1b

Counts

217 → 4

regimes277.0ms

Accuracy

96.8% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 14.3b

bsearch28.0ms

Steps

Iters	Range		Point
10	0.0364262917160445	10141565854128.094	236034278.43614227
5	-1.1493549481802984e+31	-4.946792646205334e+30	-4.9936238512859334e+30

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	10
1	29	10

end0.0ms

sample574.0ms

Algorithm

intervals

Results

178.0ms	6096×	body	80	valid
84.0ms	735×	body	640	valid
51.0ms	370×	body	1280	valid
45.0ms	509×	body	320	valid
16.0ms	290×	body	160	valid

Details

sample19.0ms

simplify62.0ms

prune3.0ms

localize7.0ms

rewrite27.0ms

series22.0ms

simplify43.0ms

prune109.0ms

localize7.0ms

rewrite22.0ms

series22.0ms

simplify49.0ms

prune115.0ms

localize12.0ms

rewrite35.0ms

series33.0ms

simplify39.0ms

prune234.0ms

localize16.0ms

rewrite80.0ms

series171.0ms

simplify117.0ms

prune646.0ms

regimes277.0ms

bsearch28.0ms

simplify1.0ms

end0.0ms

sample574.0ms

Profiling