Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 18.436034%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

9.0ms	38×	body	1280	valid
8.0ms	175×	body	80	valid
5.0ms	27×	body	640	valid
4.0ms	24×	body	1280	nan
2.0ms	18×	body	640	nan
2.0ms	13×	body	320	valid
1.0ms	12×	body	320	nan
1.0ms	9×	body	160	nan
0.0ms	10×	body	80	nan
0.0ms	3×	body	160	valid

simplify17.0ms

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

prune3.0ms

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: 20.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
1.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.3b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite40.0ms

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 → 85

Calls

3 calls:

7.0ms	(/ (- x y) (- 1.0 y))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
17.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify41.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	404	711
1	1152	666
2	5001	659

prune161.0ms

Filtered

69 candidates to 94 candidates (-36.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.4b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
5.3b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`log-prod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

5.0ms	(/ 1 (- 1.0 y))
12.0ms	(* (- x y) (/ 1 (- 1.0 y)))
3.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
2.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (- 1.0 y))
6.0ms	(* (- x y) (/ 1 (- 1.0 y)))
9.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
12.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	487	838
1	2073	735
2	5001	686

prune153.0ms

Filtered

82 candidates to 129 candidates (-57.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	129	4	133

Merged error: 0.0b

Counts

133 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (pow y 2)) (/ 1 y))
2.4b	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
3.5b	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
9.7b	(/ x (pow y 2))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
48×	`times-frac`
34×	`*-un-lft-identity`
22×	`add-cube-cbrt`
15×	`unpow-prod-down` `difference-of-squares`
10×	`add-exp-log`
8×	`associate-/r*` `add-log-exp`
7×	`unpow2` `sqr-pow`
6×	`associate-*r/` `frac-add` `add-cbrt-cube`
5×	`pow1` `log-div`
4×	`associate-+l+`
3×	`sub-neg` `log-prod` `flip3--` `div-exp` `frac-sub` `flip--` `associate-/l*` `distribute-lft-out--`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `diff-log` `rem-log-exp` `pow-exp` `clear-num` `sum-log` `log-pow`

Counts

4 → 115

Calls

4 calls:

20.0ms	(- (/ x (pow y 2)) (/ 1 y))
24.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
27.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
5.0ms	(/ x (pow y 2))

series31.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (/ x (pow y 2)) (/ 1 y))
12.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
8.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
5.0ms	(/ x (pow y 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	526	1123
1	1933	1013
2	5001	1004

prune182.0ms

Filtered

82 candidates to 127 candidates (-54.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	127	4	131

Merged error: 0.0b

Counts

131 → 4

localize212.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
1.2b	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
2.4b	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
5.4b	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

240×	`*-un-lft-identity`
166×	`add-sqr-sqrt`
152×	`times-frac`
76×	`distribute-lft-out--`
58×	`add-cube-cbrt`
55×	`swap-sqr`
50×	`difference-of-squares`
31×	`associate-r` `associate-l`
18×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1`
8×	`log-prod` `associate-/r/`
6×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `log-div` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`rem-log-exp` `log-pow`
1×	`pow2` `frac-times` `sub-neg` `flip3-+` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `distribute-lft-out`

Counts

4 → 188

Calls

4 calls:

28.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
3.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
3.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
11.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))
25.0ms	(- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))))
41.0ms	(log (- (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y)))))
16.0ms	(log (+ 1.0 (/ (- x y) (- 1.0 y))))

simplify108.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	902	2342
1	4091	2154
2	5003	2099

prune322.0ms

Filtered

116 candidates to 200 candidates (-72.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	200	4	204

Merged error: 0.0b

Counts

204 → 4

regimes195.0ms

Accuracy

97.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 17.6b

bsearch103.0ms

Steps

Iters	Range		Point
11	2.0081774965400134e-05	2056216811318328.0	65972997.63194346
8	-2.003189631329489e+27	-1.0443659578001168e+23	-1.065374522029206e+23

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 18.436034%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

280.0ms	5717×	body	80	valid
198.0ms	818×	body	1280	valid
141.0ms	796×	body	640	valid
131.0ms	689×	body	1280	nan
119.0ms	813×	body	640	nan
60.0ms	428×	body	320	valid
49.0ms	472×	body	320	nan
21.0ms	241×	body	160	valid
17.0ms	247×	body	160	nan
12.0ms	318×	body	80	nan

Details

sample1.7s

simplify17.0ms

prune3.0ms

localize9.0ms

rewrite40.0ms

series28.0ms

simplify41.0ms

prune161.0ms

localize11.0ms

rewrite26.0ms

series29.0ms

simplify59.0ms

prune153.0ms

localize12.0ms

rewrite83.0ms

series31.0ms

simplify59.0ms

prune182.0ms

localize212.0ms

rewrite59.0ms

series95.0ms

simplify108.0ms

prune322.0ms

regimes195.0ms

bsearch103.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling