Details

sample48.0ms

Algorithm

intervals

Results

8.0ms	184×	body	80	valid
8.0ms	33×	body	1280	valid
4.0ms	24×	body	640	valid
3.0ms	20×	body	1280	nan
3.0ms	23×	body	640	nan
3.0ms	84×	body	80	nan
2.0ms	18×	body	320	nan
1.0ms	7×	body	320	valid
1.0ms	12×	body	160	nan
1.0ms	8×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 17.8b

Counts

2 → 1

localize9.0ms

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))
1.8b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite50.0ms

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 → 108

Calls

4 calls:

15.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
7.0ms	(/ (- x y) (- 1.0 y))
12.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
5.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	495	950
1	1433	898
2	5002	876

prune201.0ms

Filtered

120 candidates to 88 candidates (26.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	3	121

Merged error: 0.2b

Counts

121 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.8b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

15.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
9.0ms	(/ (- x y) (- 1.0 y))
16.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
12.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms	(/ (- x y) (- 1.0 y))
15.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	621	1546
1	1974	1467
2	5001	1448

prune269.0ms

Filtered

156 candidates to 118 candidates (24.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	155	4	159

Merged error: 0b

Counts

159 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
0.0b	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
0.3b	(* (* 1.0 (exp 1.0)) (- x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

9.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
9.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
11.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
10.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
10.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	326	591
1	1456	505
2	5002	464

prune103.0ms

Filtered

64 candidates to 43 candidates (32.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
1.8b	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
10.4b	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
12.6b	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
73×	`difference-of-squares`
72×	`log-prod`
54×	`unpow-prod-down` `cube-prod`
42×	`*-un-lft-identity`
33×	`associate--l+`
30×	`sqr-pow`
24×	`times-frac`
19×	`distribute-lft-out--`
10×	`pow1`
8×	`add-cube-cbrt` `log-div`
6×	`add-exp-log` `log-pow` `add-log-exp`
4×	`flip3--` `add-cbrt-cube` `flip--`
3×	`difference-cubes` `associate--r+`
2×	`associate--l-` `sub-neg` `flip3-+` `diff-log` `rem-log-exp` `flip-+` `associate--r-`

Counts

4 → 157

Calls

4 calls:

69.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
44.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
18.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
45.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y)))))))
52.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
34.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))
64.0ms	(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))

simplify75.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	614	3258
1	1888	3145
2	5001	3064

prune468.0ms

Filtered

169 candidates to 107 candidates (36.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	169	4	173

Merged error: 0b

Counts

173 → 4

regimes234.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 17.9b

bsearch82.0ms

Steps

Iters	Range		Point
11	2.077047617275485	2.9434032555578894e+20	3275091158.0087776
8	-399038245441.6171	-81569296.22560106	-160434533.41617155

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	16
1	34	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

274.0ms	5738×	body	80	valid
201.0ms	824×	body	1280	valid
132.0ms	760×	body	640	valid
129.0ms	685×	body	1280	nan
119.0ms	775×	body	640	nan
88.0ms	2542×	body	80	nan
55.0ms	433×	body	320	valid
47.0ms	450×	body	320	nan
21.0ms	245×	body	160	valid
19.0ms	266×	body	160	nan

Details

sample48.0ms

simplify15.0ms

prune6.0ms

localize9.0ms

rewrite50.0ms

series42.0ms

simplify42.0ms

prune201.0ms

localize10.0ms

rewrite57.0ms

series48.0ms

simplify56.0ms

prune269.0ms

localize10.0ms

rewrite30.0ms

series35.0ms

simplify51.0ms

prune103.0ms

localize20.0ms

rewrite183.0ms

series239.0ms

simplify75.0ms

prune468.0ms

regimes234.0ms

bsearch82.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling