Details

analyze546.0ms

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

sample47.0ms

Algorithm

intervals

Results

8.0ms	170×	body	80	valid
7.0ms	29×	body	1280	valid
6.0ms	26×	body	640	nan
6.0ms	33×	body	640	valid
4.0ms	24×	body	1280	nan
2.0ms	20×	body	320	nan
2.0ms	14×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	10×	body	160	nan
1.0ms	17×	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: 21.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.3b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
27×	`times-frac`
16×	`add-cube-cbrt` `difference-of-squares`
14×	`distribute-lft-out--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `div-inv` `associate--r-`

Counts

3 → 84

Calls

3 calls:

7.0ms	(/ (- x y) (- 1.0 y))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- x y) (- 1.0 y))
11.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5817	1253

prune172.0ms

Filtered

71 candidates to 93 candidates (-31.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Merged error: 0.1b

Counts

94 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
4.2b	(- 1.0 (* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
4.6b	(log (- 1.0 (* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))))
13.0b	(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`times-frac`
27×	`add-cube-cbrt`
26×	`associate-l`
20×	`difference-of-squares`
12×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`distribute-lft-out--`
7×	`pow1`
6×	`add-log-exp`
5×	`flip3--` `flip--` `associate-/l*`
4×	`associate-r` `associate-/r*` `associate-/r/`
3×	`log-prod`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `log-div` `distribute-lft-in` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `rem-log-exp` `pow-prod-down` `associate-l/` `clear-num` `log-pow` `-commutative` `distribute-lft-out`

Counts

4 → 125

Calls

4 calls:

17.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
3.0ms	(- 1.0 (* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
3.0ms	(log (- 1.0 (* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))))
8.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
36.0ms	(- 1.0 (* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
39.0ms	(log (- 1.0 (* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))))
12.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5021	2049

prune205.0ms

Filtered

109 candidates to 137 candidates (-25.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	137	3	140

Merged error: 0.1b

Counts

140 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1)))))
0.1b	(* (/ 1.0 y) (+ (/ x y) -1))
2.9b	(log (+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1))))
3.0b	(+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`frac-add`
14×	`add-cube-cbrt` `log-div`
13×	`associate-l`
11×	`flip3-+` `times-frac` `flip-+`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1` `frac-times` `associate-*r/`
7×	`associate--r-` `add-log-exp`
6×	`log-prod` `associate-r`
4×	`associate-*l/`
3×	`associate--r+`
2×	`difference-of-sqr--1` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `prod-exp` `log-pow` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `sum-log` `*-commutative` `flip--` `div-inv` `distribute-lft-out` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

9.0ms	(- 1.0 (log (+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1)))))
12.0ms	(* (/ 1.0 y) (+ (/ x y) -1))
6.0ms	(log (+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1))))
8.0ms	(+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- 1.0 (log (+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1)))))
5.0ms	(* (/ 1.0 y) (+ (/ x y) -1))
12.0ms	(log (+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1))))
8.0ms	(+ (/ x y) (* (/ 1.0 y) (+ (/ x y) -1)))

simplify51.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5006	2043

prune183.0ms

Filtered

96 candidates to 114 candidates (-18.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	113	4	117

Merged error: 0.1b

Counts

117 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (/ x y) -1) y)
0.8b	(/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y))))
3.0b	(+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y)))
14.8b	(log (/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
30×	`add-cube-cbrt`
16×	`log-prod`
9×	`add-exp-log` `associate-/l*`
8×	`difference-of-sqr--1` `add-cbrt-cube`
6×	`associate-/r*` `associate-/r/` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `flip-+` `distribute-lft-out`
3×	`associate-*r/` `div-exp` `frac-add` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `log-div` `sum-log` `log-pow`

Counts

4 → 110

Calls

4 calls:

9.0ms	(/ (+ (/ x y) -1) y)
8.0ms	(/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y))))
7.0ms	(+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y)))
7.0ms	(log (/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y)))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ (/ x y) -1) y)
16.0ms	(/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y))))
8.0ms	(+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y)))
17.0ms	(log (/ (exp 1.0) (+ (/ x y) (* 1.0 (/ (+ (/ x y) -1) y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5486	2273

prune200.0ms

Filtered

97 candidates to 122 candidates (-25.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Merged error: 0.1b

Counts

126 → 4

regimes116.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.1b

bsearch93.0ms

Steps

Iters	Range		Point
9	975.8669630407379	194497911.87751025	85028056.792489
9	-520887720802.61694	-371826.0962995759	-93755730.34262806

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	181	46
1	181	46

end0.0ms

sample1.2s

Algorithm

intervals

Results

271.0ms	5690×	body	80	valid
187.0ms	796×	body	1280	valid
137.0ms	797×	body	640	valid
117.0ms	674×	body	1280	nan
100.0ms	736×	body	640	nan
57.0ms	449×	body	320	valid
45.0ms	442×	body	320	nan
26.0ms	268×	body	160	valid
14.0ms	208×	body	160	nan
11.0ms	331×	body	80	nan

Details

analyze546.0ms

sample47.0ms

simplify114.0ms

prune6.0ms

localize9.0ms

rewrite37.0ms

series29.0ms

simplify51.0ms

prune172.0ms

localize13.0ms

rewrite35.0ms

series99.0ms

simplify54.0ms

prune205.0ms

localize10.0ms

rewrite39.0ms

series41.0ms

simplify51.0ms

prune183.0ms

localize12.0ms

rewrite37.0ms

series46.0ms

simplify53.0ms

prune200.0ms

regimes116.0ms

bsearch93.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling