Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	197×	body	80	valid
3.0ms	26×	body	640	valid
2.0ms	16×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	6×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 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: 22.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
1.6b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite23.0ms

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:

6.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- 1.0 x) y)
65.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
41.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (11.0ms)

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

prune129.0ms

Filtered

72 candidates to 51 candidates (70.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
1.6b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite23.0ms

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:

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ y (+ y 1.0))
42.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
67.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (14.0ms)

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

prune137.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) (cbrt (pow (/ y (+ y 1.0)) 3)))
0.0b	(pow (/ y (+ y 1.0)) 3)
1.6b	(- 1.0 (* (- 1.0 x) (cbrt (pow (/ y (+ y 1.0)) 3))))
22.0b	(cbrt (pow (/ y (+ y 1.0)) 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
90×	`cbrt-prod`
74×	`add-sqr-sqrt` `times-frac`
57×	`add-cube-cbrt`
56×	`unpow-prod-down` `cube-prod`
45×	`associate-r`
18×	`distribute-lft-out`
12×	`associate-/r/`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
5×	`cube-div` `associate-l`
4×	`cbrt-div` `sqr-pow`
3×	`cube-mult` `pow-unpow` `flip3--` `unpow3` `flip--`
2×	`frac-times` `associate-*l/` `pow-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 193

Calls

4 calls:

21.0ms	(* (- 1.0 x) (cbrt (pow (/ y (+ y 1.0)) 3)))
9.0ms	(pow (/ y (+ y 1.0)) 3)
3.0ms	(- 1.0 (* (- 1.0 x) (cbrt (pow (/ y (+ y 1.0)) 3))))
8.0ms	(cbrt (pow (/ y (+ y 1.0)) 3))

series252.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- 1.0 x) (cbrt (pow (/ y (+ y 1.0)) 3)))
72.0ms	(pow (/ y (+ y 1.0)) 3)
73.0ms	(- 1.0 (* (- 1.0 x) (cbrt (pow (/ y (+ y 1.0)) 3))))
48.0ms	(cbrt (pow (/ y (+ y 1.0)) 3))

simplify97.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	695	1353
1	3215	1228
2	5001	1213

prune244.0ms

Filtered

205 candidates to 104 candidates (50.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	206	5	211

Merged error: 0.0b

Counts

211 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

8.0b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0b	(/ (* (- 1.0 x) y) (+ y 1.0))
9.7b	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

11.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
12.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series509.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
40.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
43.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
381.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify66.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	431	1543
1	2019	1406
2	5002	1406

prune213.0ms

Filtered

134 candidates to 98 candidates (73.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Merged error: 0.0b

Counts

139 → 5

regimes139.0ms

Accuracy

98.1% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 14.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	18
1	31	18

end0.0ms

sample500.0ms

Algorithm

intervals

Results

183.0ms	6089×	body	80	valid
73.0ms	718×	body	640	valid
51.0ms	396×	body	1280	valid
41.0ms	528×	body	320	valid
14.0ms	269×	body	160	valid

Details

sample23.0ms

simplify70.0ms

prune2.0ms

localize6.0ms

rewrite23.0ms

series137.0ms

simplify49.0ms

prune129.0ms

localize7.0ms

rewrite23.0ms

series146.0ms

simplify55.0ms

prune137.0ms

localize9.0ms

rewrite49.0ms

series252.0ms

simplify97.0ms

prune244.0ms

localize11.0ms

rewrite43.0ms

series509.0ms

simplify66.0ms

prune213.0ms

regimes139.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample500.0ms

Profiling