Details

sample134.0ms

Algorithm

intervals

Results

75.0ms	81×	body	10240	exit
22.0ms	272×	body	80	valid
7.0ms	7×	body	1280	valid
4.0ms	8×	body	640	valid
2.0ms	6×	body	320	valid
1.0ms	3×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log-prod` `*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `log-div` `associate--l+`
3×	`pow1` `add-exp-log` `add-log-exp`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

2 → 33

Calls

2 calls:

20.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(- (log (+ 1.0 (exp x))) (* x y))
77.0ms	(log (+ 1.0 (exp x)))

simplify1.4s

Counts

39 → 39

Iterations

Useful iterations: 3 (563.0ms)

Iter	Nodes	Cost
0	83	463
1	181	437
2	517	415
3	2417	409
done	5001	409

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
0.7b	(log (sqrt (+ 1.0 (exp x))))
0.7b	(log (sqrt (+ 1.0 (exp x))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`log-prod`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `sqrt-div`
9×	`pow1` `add-cube-cbrt`
8×	`log-div`
7×	`add-log-exp`
6×	`add-exp-log` `log-pow`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `add-cbrt-cube`
3×	`sqrt-pow1` `pow1/2` `distribute-lft-out`
2×	`associate-+l-` `associate-+r-` `diff-log` `rem-log-exp`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 74

Calls

4 calls:

18.0ms	(sqrt (+ 1.0 (exp x)))
143.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (+ 1.0 (exp x)))
181.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
155.0ms	(log (sqrt (+ 1.0 (exp x))))
154.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify534.0ms

Counts

86 → 86

Iterations

Useful iterations: done (531.0ms)

Iter	Nodes	Cost
0	127	1216
1	283	1045
2	982	915
done	5001	907

prune364.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* x y) 3)
0.6b	(* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))
0.7b	(pow (log (+ 1.0 (exp x))) 3)
13.9b	(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0))) (* (* x y) (* x y))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`times-frac`
32×	`difference-of-squares`
30×	`add-cube-cbrt`
26×	`sqr-pow`
13×	`pow1` `unpow-prod-down` `cube-prod` `associate-/l*`
12×	`add-exp-log` `add-cbrt-cube`
8×	`log-prod`
6×	`pow-unpow`
4×	`difference-cubes` `distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out--` `add-log-exp`
3×	`pow-pow` `associate-l` `pow-exp` `associate-/r*` `log-pow` `rem-cube-cbrt`
2×	`cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-prod-down` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `*-commutative` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

6.0ms	(pow (* x y) 3)
46.0ms	(* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))
4.0ms	(pow (log (+ 1.0 (exp x))) 3)
98.0ms	(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0))) (* (* x y) (* x y))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (* x y) 3)
172.0ms	(* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))
132.0ms	(pow (log (+ 1.0 (exp x))) 3)
304.0ms	(/ (- (pow (log (+ 1.0 (exp x))) 3) (pow (* x y) 3)) (+ (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0))) (* (* x y) (* x y))))

simplify3.3s

Counts

160 → 160

Iterations

Useful iterations: 2 (749.0ms)

Iter	Nodes	Cost
0	277	5917
1	779	5606
2	4605	5138
done	5000	5138

prune801.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))
0.7b	(pow (log (+ (exp x) 1.0)) 3)
2.2b	(/ (pow (log (+ (exp x) 1.0)) 3) (+ (pow (* x y) 2) (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))))
13.9b	(/ (pow (* x y) 3) (+ (pow (* x y) 2) (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
55×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
22×	`associate-/l*`
20×	`add-exp-log`
18×	`pow1`
11×	`log-pow` `add-cbrt-cube`
9×	`cube-mult` `unpow3` `sqr-pow`
8×	`log-prod`
7×	`div-exp`
6×	`associate-/r*`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `pow-exp` `associate-/r/` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `div-inv` `distribute-lft-out`
1×	`pow-pow` `pow-prod-down` `*-commutative` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 181

Calls

4 calls:

44.0ms	(* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))
4.0ms	(pow (log (+ (exp x) 1.0)) 3)
42.0ms	(/ (pow (log (+ (exp x) 1.0)) 3) (+ (pow (* x y) 2) (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))))
18.0ms	(/ (pow (* x y) 3) (+ (pow (* x y) 2) (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))
197.0ms	(pow (log (+ (exp x) 1.0)) 3)
376.0ms	(/ (pow (log (+ (exp x) 1.0)) 3) (+ (pow (* x y) 2) (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))))
344.0ms	(/ (pow (* x y) 3) (+ (pow (* x y) 2) (* (+ (log (+ 1.0 (exp x))) (* x y)) (log (+ (exp x) 1.0)))))

simplify625.0ms

Counts

193 → 193

Iterations

Useful iterations: done (617.0ms)

Iter	Nodes	Cost
0	307	7281
1	806	6880
done	5001	6527

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	12	17
done	12	17

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.3s	2412×	body	10240	exit
619.0ms	8357×	body	80	valid
132.0ms	135×	body	1280	valid
118.0ms	270×	body	640	valid
56.0ms	205×	body	320	valid
17.0ms	105×	body	160	valid