Details

sample40.0ms

Algorithm

intervals

Results

6.0ms	175×	body	80	valid
5.0ms	25×	body	1280	valid
3.0ms	132×	body	80	nan
3.0ms	9×	body	320	nan
3.0ms	19×	body	640	valid
2.0ms	14×	body	1280	nan
2.0ms	18×	body	640	nan
2.0ms	18×	body	320	valid
1.0ms	19×	body	160	valid
0.0ms	3×	body	160	nan

simplify18.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

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))
5.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
6.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite77.0ms

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:

25.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
10.0ms	(/ (- x y) (- 1.0 y))
19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
19.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
42.0ms	(/ (- x y) (- 1.0 y))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

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

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.1b	(- 1.0 (/ (- x y) (- 1.0 y)))
6.2b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
6.2b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
12×	`sqrt-prod`
8×	`pow1` `add-cube-cbrt` `add-log-exp` `difference-of-squares`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3--` `times-frac` `sqrt-div` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 76

Calls

4 calls:

19.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
21.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
20.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
20.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series372.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
135.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
130.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	228	854
1	533	780
2	2128	776
3	5001	768

prune279.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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))))
5.1b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite100.0ms

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:

23.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
10.0ms	(/ (- x y) (- 1.0 y))
39.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
22.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
37.0ms	(/ (- x y) (- 1.0 y))
133.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
51.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (39.0ms)

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

prune398.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite49.0ms

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:

15.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
15.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
18.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series370.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
96.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
92.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	326	591
1	1456	505
2	5001	464

prune127.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 18.3b

bsearch113.0ms

Steps

Iters	Range		Point
9	0.006665254470786589	16112908.465778163	15857199.25534847
9	-4638439513302.711	-14674.600957416102	-150668776.17725816

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	16
1	34	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

224.0ms	5700×	body	80	valid
164.0ms	828×	body	1280	valid
105.0ms	760×	body	640	valid
102.0ms	3696×	body	80	nan
57.0ms	370×	body	1280	nan
51.0ms	438×	body	640	nan
45.0ms	454×	body	320	valid
20.0ms	223×	body	320	nan
17.0ms	258×	body	160	valid
6.0ms	120×	body	160	nan