Details

analyze741.0ms

Algorithm: search

sample46.0ms

Algorithm

intervals

Results

9.0ms	182×	body	80	valid
7.0ms	27×	body	1280	valid
6.0ms	32×	body	1280	nan
4.0ms	20×	body	640	valid
3.0ms	8×	body	160	nan
2.0ms	18×	body	320	valid
2.0ms	15×	body	640	nan
2.0ms	16×	body	320	nan
1.0ms	9×	body	160	valid
1.0ms	19×	body	80	nan

simplify16.0ms

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: 18.4b

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))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.7b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite56.0ms

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:

18.0ms	(- 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)))
14.0ms	(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)))))
6.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

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

prune205.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Merged error: 0.2b

Counts

121 → 4

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))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.6b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite60.0ms

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)))))
8.0ms	(/ (- x y) (- 1.0 y))
16.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
15.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(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))))
10.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (41.0ms)

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

prune280.0ms

Filtered

118 candidates to 156 candidates (-32.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	156	4	160

Merged error: 0b

Counts

160 → 4

localize9.0ms

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))

rewrite28.0ms

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)))
9.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series36.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(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)))
11.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (41.0ms)

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

prune101.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (pow y 2)) (/ 1 y))
3.3b	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
3.4b	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
8.6b	(/ x (pow y 2))

rewrite85.0ms

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:

23.0ms	(- (/ x (pow y 2)) (/ 1 y))
26.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
27.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
5.0ms	(/ x (pow y 2))

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ x (pow y 2)) (/ 1 y))
13.0ms	(+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y))
19.0ms	(log (+ (* 1.0 (- (/ x (pow y 2)) (/ 1 y))) (/ x y)))
5.0ms	(/ x (pow y 2))

simplify62.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (45.0ms)

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

prune190.0ms

Filtered

82 candidates to 127 candidates (-54.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0b

Counts

131 → 4

regimes289.0ms

Accuracy

99.2% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	19
1	28	19

end0.0ms

analyze558.0ms

Algorithm: search

sample1.2s

Algorithm

intervals

Results

278.0ms	5645×	body	80	valid
210.0ms	833×	body	1280	valid
150.0ms	834×	body	640	valid
129.0ms	698×	body	1280	nan
106.0ms	731×	body	640	nan
56.0ms	437×	body	320	valid
46.0ms	440×	body	320	nan
21.0ms	251×	body	160	valid
16.0ms	222×	body	160	nan
12.0ms	333×	body	80	nan

Details

analyze741.0ms

sample46.0ms

simplify16.0ms

prune3.0ms

localize9.0ms

rewrite56.0ms

series42.0ms

simplify46.0ms

prune205.0ms

localize10.0ms

rewrite60.0ms

series55.0ms

simplify57.0ms

prune280.0ms

localize9.0ms

rewrite28.0ms

series36.0ms

simplify48.0ms

prune101.0ms

localize13.0ms

rewrite85.0ms

series48.0ms

simplify62.0ms

prune190.0ms

regimes289.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze558.0ms

sample1.2s

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