Details

analyze556.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

sample53.0ms

Algorithm

intervals

Results

11.0ms	179×	body	80	valid
7.0ms	25×	body	1280	valid
7.0ms	31×	body	640	valid
6.0ms	38×	body	640	nan
4.0ms	19×	body	1280	nan
2.0ms	13×	body	320	valid
2.0ms	18×	body	320	nan
1.0ms	8×	body	160	nan
1.0ms	8×	body	160	valid
1.0ms	15×	body	80	nan

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5039	12

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 19.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 106

Calls

4 calls:

16.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms	(/ (- x y) (- 1.0 y))
12.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5428	1660

prune225.0ms

Filtered

93 candidates to 118 candidates (-26.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Merged error: 0.1b

Counts

119 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b	(+ 1.0 (/ (- y x) (- 1.0 y)))
1.7b	(+ 1.0 (/ (- y x) (- 1.0 y)))
4.1b	(log (sqrt (+ 1.0 (/ (- y x) (- 1.0 y)))))
4.1b	(log (sqrt (+ 1.0 (/ (- y x) (- 1.0 y)))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`+-commutative` `associate-+r-` `sqrt-pow1` `pow1/2` `div-sub` `rem-log-exp` `sum-log`

Counts

4 → 66

Calls

4 calls:

12.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))
13.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))
15.0ms	(log (sqrt (+ 1.0 (/ (- y x) (- 1.0 y)))))
13.0ms	(log (sqrt (+ 1.0 (/ (- y x) (- 1.0 y)))))

series54.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))
8.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))
18.0ms	(log (sqrt (+ 1.0 (/ (- y x) (- 1.0 y)))))
18.0ms	(log (sqrt (+ 1.0 (/ (- y x) (- 1.0 y)))))

simplify32.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5180	1204

prune172.0ms

Filtered

60 candidates to 78 candidates (-30.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.1b

Counts

84 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y)))))
0.0b	(/ (- y x) (- 1.0 y))
0.1b	(/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y))))
1.7b	(+ 1.0 (/ (- y x) (- 1.0 y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
49×	`times-frac`
33×	`add-cube-cbrt`
18×	`log-prod`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `associate-/r*`
8×	`add-cbrt-cube` `distribute-lft-out` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1`
3×	`flip3-+` `div-exp` `flip-+` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `flip--` `associate-/l/`
1×	`+-commutative` `associate-+r-` `log-div` `sum-log` `log-pow`

Counts

4 → 127

Calls

4 calls:

14.0ms	(log (/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y)))))
8.0ms	(/ (- y x) (- 1.0 y))
15.0ms	(/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y))))
12.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y)))))
5.0ms	(/ (- y x) (- 1.0 y))
13.0ms	(/ (exp 1.0) (+ 1.0 (/ (- y x) (- 1.0 y))))
8.0ms	(+ 1.0 (/ (- y x) (- 1.0 y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5611	2124

prune219.0ms

Filtered

101 candidates to 139 candidates (-37.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	140	5	145

Merged error: 0b

Counts

145 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (* 1.0 (* (exp 1.0) (- (+ x 1) y))))
0.2b	(* (exp 1.0) (- (+ x 1) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`*-un-lft-identity`
8×	`add-exp-log` `add-sqr-sqrt`
6×	`associate-r/` `associate-r*`
4×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `add-cbrt-cube`
3×	`rem-log-exp` `associate-l` `log-pow`
2×	`distribute-rgt-in` `sub-neg` `log-div` `flip3--` `distribute-lft-in` `associate--l+` `flip--` `distribute-lft-out--` `add-log-exp`
1×	`log-prod` `*-commutative` `cbrt-unprod` `distribute-lft-out` `difference-of-squares` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

10.0ms	(log (* 1.0 (* (exp 1.0) (- (+ x 1) y))))
10.0ms	(* (exp 1.0) (- (+ x 1) y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(log (* 1.0 (* (exp 1.0) (- (+ x 1) y))))
6.0ms	(* (exp 1.0) (- (+ x 1) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4967	503
1	4967	503

prune71.0ms

Filtered

36 candidates to 49 candidates (-36.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	49	5	54

Merged error: 0b

Counts

54 → 5

regimes112.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.7b

bsearch128.0ms

Steps

Iters	Range		Point
11	0.006357285062649068	2.947188502345038e+19	80890530.29556468
9	-312962240713.9442	-113880.89430470162	-1217757162.996135

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	50
1	73	50

end0.0ms

sample1.3s

Algorithm

intervals

Results

289.0ms	5641×	body	80	valid
211.0ms	843×	body	1280	valid
157.0ms	812×	body	640	valid
143.0ms	735×	body	1280	nan
117.0ms	785×	body	640	nan
62.0ms	444×	body	320	valid
50.0ms	464×	body	320	nan
23.0ms	260×	body	160	valid
14.0ms	191×	body	160	nan
13.0ms	351×	body	80	nan

Details

analyze556.0ms

sample53.0ms

simplify114.0ms

prune6.0ms

localize12.0ms

rewrite53.0ms

series46.0ms

simplify43.0ms

prune225.0ms

localize11.0ms

rewrite55.0ms

series54.0ms

simplify32.0ms

prune172.0ms

localize11.0ms

rewrite55.0ms

series44.0ms

simplify51.0ms

prune219.0ms

localize10.0ms

rewrite21.0ms

series18.0ms

simplify46.0ms

prune71.0ms

regimes112.0ms

bsearch128.0ms

simplify2.0ms

end0.0ms

sample1.3s

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