Details

sample56.0ms

Algorithm

intervals

Results

29.0ms	74×	body	10240	exit
9.0ms	255×	body	80	valid
2.0ms	3×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	4×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
1.1b	(log (+ 1.0 (exp x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

15.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(+ 1.0 (exp x))
60.0ms	(log (+ 1.0 (exp x)))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	105	724
1	237	686
2	579	635
3	1595	618
4	3745	590
done	5000	589

prune178.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.7b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
6.2b	(- (exp x) 1.0)
7.2b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`log-prod`
9×	`prod-diff`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-neg`
2×	`log-div` `rem-log-exp` `log-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `flip-+` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

4.0ms	(pow (exp x) 3)
18.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
14.0ms	(- (exp x) 1.0)
2.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (exp x) 3)
87.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
15.0ms	(- (exp x) 1.0)
107.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify788.0ms

Counts

104 → 104

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	183	1228
1	376	1016
2	1017	893
done	5000	890

prune331.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(exp (log (log (+ 1.0 (exp x)))))
0.0b	(log (log (+ 1.0 (exp x))))
1.1b	(log (+ 1.0 (exp x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow`
4×	`expm1-log1p-u` `exp-prod` `exp-sum` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`log-div` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

6.0ms	(+ 1.0 (exp x))
3.0ms	(exp (log (log (+ 1.0 (exp x)))))
5.0ms	(log (log (+ 1.0 (exp x))))
6.0ms	(log (+ 1.0 (exp x)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
63.0ms	(exp (log (log (+ 1.0 (exp x)))))
129.0ms	(log (log (+ 1.0 (exp x))))
65.0ms	(log (+ 1.0 (exp x)))

simplify2.1s

Counts

79 → 79

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	110	725
1	217	657
2	508	598
3	1367	589
4	4516	572
done	5000	572

prune211.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ x (log 2.0)))
0.2b	(/ x (log 2.0))
0.2b	(/ x (log 2.0))
0.2b	(* (* x (/ x (log 2.0))) (- 0.25 (+ (/ 0.125 (log 2.0)) (/ 1/2 (pow 2.0 2)))))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
61×	`times-frac`
57×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
36×	`prod-diff`
28×	`pow1`
22×	`add-exp-log` `associate-r` `add-cbrt-cube`
20×	`distribute-rgt-in` `distribute-lft-in`
19×	`distribute-lft-out`
17×	`log-pow`
8×	`associate-/r*`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r/` `associate-/l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`frac-times` `sub-neg` `flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`associate-*l/` `difference-of-squares`

Counts

4 → 173

Calls

4 calls:

16.0ms	(* x (/ x (log 2.0)))
5.0ms	(/ x (log 2.0))
5.0ms	(/ x (log 2.0))
393.0ms	(* (* x (/ x (log 2.0))) (- 0.25 (+ (/ 0.125 (log 2.0)) (/ 1/2 (pow 2.0 2)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

168.0ms	(* x (/ x (log 2.0)))
212.0ms	(/ x (log 2.0))
211.0ms	(/ x (log 2.0))
450.0ms	(* (* x (/ x (log 2.0))) (- 0.25 (+ (/ 0.125 (log 2.0)) (/ 1/2 (pow 2.0 2)))))

simplify947.0ms

Counts

185 → 185

Iterations

Useful iterations: done (940.0ms)

Iter	Nodes	Cost
0	212	4624
1	513	3731
2	1712	3011
done	5000	2555

prune529.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes65.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	34
1	28	34
done	28	34

end0.0ms

sample1.7s

Algorithm

intervals

Results

926.0ms	2370×	body	10240	exit
302.0ms	8352×	body	80	valid
68.0ms	251×	body	640	valid
61.0ms	127×	body	1280	valid
31.0ms	185×	body	320	valid
9.0ms	104×	body	160	valid