Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	190×	body	80	valid
3.0ms	26×	body	640	valid
2.0ms	16×	body	1280	valid
1.0ms	13×	body	320	valid
1.0ms	11×	body	160	valid

simplify66.0ms

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	5001	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: 22.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.9b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.8b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
46.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	287	314
1	1151	281
2	5001	280

prune97.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	4	48

Merged error: 0.1b

Counts

48 → 4

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)))
2.9b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite26.0ms

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))
15.0ms	(* (- 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:

34.0ms	(/ y (+ y 1.0))
47.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
65.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	400	572
1	1790	526
2	5002	526

prune144.0ms

Filtered

97 candidates to 70 candidates (72.2%)

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

localize11.0ms

Local error

Found 4 expressions with local error:

2.9b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.8b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.8b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.8b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite37.0ms

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)))
9.0ms	(/ (* (- 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))

series207.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
47.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
42.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
47.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

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

prune239.0ms

Filtered

107 candidates to 79 candidates (73.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	107	4	111

Merged error: 0.1b

Counts

111 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

3.9b	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
6.8b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.8b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.9b	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
30×	`*-un-lft-identity`
26×	`add-cbrt-cube`
20×	`times-frac`
18×	`associate-r`
16×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`prod-exp`
10×	`associate-*l/`
9×	`pow1`
8×	`div-exp` `associate-/r*` `cbrt-unprod`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `associate-/r/` `add-log-exp`
5×	`flip3--` `flip--`
4×	`associate-/l/`
3×	`flip3-+` `pow-prod-down` `flip-+` `div-inv`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l*`
1×	`sub-neg` `diff-log` `associate-r/` `associate-l` `un-div-inv` `-commutative`

Counts

4 → 113

Calls

4 calls:

3.0ms	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
9.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
17.0ms	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- 1.0 (* (* (- 1.0 x) y) (/ 1 (+ y 1.0))))
43.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
47.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
43.0ms	(* (* (- 1.0 x) y) (/ 1 (+ y 1.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	530	794
1	2671	679
2	5001	661

prune285.0ms

Filtered

125 candidates to 85 candidates (68.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	124	5	129

Merged error: 0.1b

Counts

129 → 5

regimes134.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 14.7b

bsearch82.0ms

Steps

Iters	Range		Point
9	24829118.025328	89835997810550.58	164524904.2284338
10	-421140047755963.56	-6.238959787773506	-168452353.48782256

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	10
1	29	10

end0.0ms

sample513.0ms

Algorithm

intervals

Results

178.0ms	6048×	body	80	valid
85.0ms	740×	body	640	valid
55.0ms	388×	body	1280	valid
40.0ms	503×	body	320	valid
18.0ms	321×	body	160	valid

Details

sample20.0ms

simplify66.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series115.0ms

simplify39.0ms

prune97.0ms

localize7.0ms

rewrite26.0ms

series146.0ms

simplify57.0ms

prune144.0ms

localize11.0ms

rewrite37.0ms

series207.0ms

simplify43.0ms

prune239.0ms

localize15.0ms

rewrite40.0ms

series203.0ms

simplify72.0ms

prune285.0ms

regimes134.0ms

bsearch82.0ms

simplify1.0ms

end0.0ms

sample513.0ms

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