Details

sample48.0ms

Algorithm

intervals

Results

8.0ms	169×	body	80	valid
6.0ms	27×	body	1280	valid
5.0ms	32×	body	640	valid
4.0ms	32×	body	640	nan
4.0ms	22×	body	1280	nan
3.0ms	99×	body	80	nan
3.0ms	23×	body	320	valid
1.0ms	15×	body	320	nan
1.0ms	8×	body	160	nan
0.0ms	5×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 21.5b

Counts

2 → 1

localize8.0ms

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))
1.4b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite58.0ms

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:

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

series258.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
36.0ms	(/ (- x y) (- 1.0 y))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
82.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify44.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	488	942
1	1388	894
2	5001	876

prune272.0ms

Filtered

120 candidates to 88 candidates (73.3%)

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: 0.0b

Counts

121 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.8b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.1b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`associate-r`
17×	`times-frac`
16×	`add-cube-cbrt`
14×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
7×	`flip3--` `flip--` `add-log-exp`
6×	`log-prod` `distribute-lft-out--`
5×	`associate-l` `difference-of-squares`
4×	`log-div` `prod-exp`
3×	`associate--r+` `unswap-sqr`
2×	`frac-times` `sub-neg` `diff-log` `div-exp` `associate-*l/` `associate-/r/` `log-pow` `cbrt-unprod` `associate--r-`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `rem-log-exp` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 96

Calls

4 calls:

5.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
13.0ms	(* (- x y) (/ 1 (- 1.0 y)))
2.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
39.0ms	(* (- x y) (/ 1 (- 1.0 y)))
82.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
49.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	516	863
1	2086	789
2	5003	762

prune201.0ms

Filtered

108 candidates to 80 candidates (74.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Merged error: 0.0b

Counts

111 → 3

localize13.0ms

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)))
2.8b	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
8.3b	(/ x (pow y 2))

rewrite89.0ms

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:

22.0ms	(- (/ x (pow y 2)) (/ 1 y))
27.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
31.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
5.0ms	(/ x (pow y 2))

series152.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ x (pow y 2)) (/ 1 y))
63.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
32.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
26.0ms	(/ x (pow y 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	519	1121
1	1896	1014
2	5002	1005

prune242.0ms

Filtered

127 candidates to 82 candidates (64.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	126	4	130

Merged error: 0.0b

Counts

130 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

8.3b	(/ x (pow y 2))
8.3b	(/ x (pow y 2))
15.9b	(cbrt (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
15.9b	(cbrt (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
40×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
16×	`associate-/r*`
14×	`add-exp-log`
10×	`cbrt-div`
8×	`add-cbrt-cube` `unpow2` `sqr-pow`
6×	`cbrt-prod` `associate-r/` `div-exp` `frac-add` `associate-/l`
4×	`pow1` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `flip3-+` `pow1/3` `pow-exp` `clear-num` `frac-sub` `flip--` `flip-+` `div-inv`

Counts

4 → 130

Calls

4 calls:

5.0ms	(/ x (pow y 2))
6.0ms	(/ x (pow y 2))
27.0ms	(cbrt (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
30.0ms	(cbrt (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (pow y 2))
22.0ms	(/ x (pow y 2))
129.0ms	(cbrt (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
136.0ms	(cbrt (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	431	1196
1	1659	1114
2	5002	1092

prune464.0ms

Filtered

142 candidates to 98 candidates (69.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	142	4	146

Merged error: 0.0b

Counts

146 → 4

regimes87.0ms

Accuracy

96.7% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 18.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

264.0ms	5644×	body	80	valid
200.0ms	840×	body	1280	valid
143.0ms	845×	body	640	valid
132.0ms	754×	body	1280	nan
98.0ms	727×	body	640	nan
86.0ms	2586×	body	80	nan
54.0ms	451×	body	320	valid
41.0ms	415×	body	320	nan
18.0ms	220×	body	160	valid
15.0ms	225×	body	160	nan