Details

sample55.0ms

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

simplify7.0ms

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: 1.2b

localize7.0ms

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)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

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:

63.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
61.0ms	(log (+ 1.0 (exp x)))

simplify1.5s

Counts

54 → 54

Iterations

Useful iterations: 4 (701.0ms)

Iter	Nodes	Cost
0	92	575
1	208	544
2	499	514
3	1201	508
4	2613	506
done	5000	506

prune127.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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 (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

5.0ms	(pow (exp x) 3)
19.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
12.0ms	(- (exp x) 1.0)
22.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (exp x) 3)
91.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
15.0ms	(- (exp x) 1.0)
107.0ms	(log (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))

simplify679.0ms

Counts

86 → 86

Iterations

Useful iterations: done (677.0ms)

Iter	Nodes	Cost
0	163	1025
1	343	918
2	1005	841
done	5000	828

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

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)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

6.0ms	(+ 1.0 (exp x))
3.0ms	(exp (log (log (+ 1.0 (exp x)))))
1.0ms	(log (log (+ 1.0 (exp x))))
8.0ms	(log (+ 1.0 (exp x)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
66.0ms	(exp (log (log (+ 1.0 (exp x)))))
141.0ms	(log (log (+ 1.0 (exp x))))
60.0ms	(log (+ 1.0 (exp x)))

simplify2.2s

Counts

68 → 68

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	102	673
1	202	616
2	464	558
3	1239	548
4	3859	531
done	5000	531

prune194.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (log 2.0)) (* 0.5 (/ x (log 2.0))))
0.2b	(/ (pow x 2) (log 2.0))
0.2b	(/ x (log 2.0))
0.2b	(* (/ (pow x 2) (log 2.0)) (- (+ (/ 0.125 (log 2.0)) (/ 1/2 (pow 2.0 2))) 0.25))

rewrite746.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
65×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
36×	`associate-l`
28×	`pow1` `unpow-prod-down`
22×	`log-pow`
21×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/l*`
10×	`unpow2` `sqr-pow`
8×	`associate-/r*`
7×	`div-exp`
6×	`associate-r`
5×	`add-log-exp` `unswap-sqr`
4×	`associate-+l+` `log-prod` `prod-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-inv`
2×	`frac-times` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `associate-*r/` `pow-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `difference-of-squares`

Counts

4 → 177

Calls

4 calls:

8.0ms	(+ (log (log 2.0)) (* 0.5 (/ x (log 2.0))))
9.0ms	(/ (pow x 2) (log 2.0))
5.0ms	(/ x (log 2.0))
717.0ms	(* (/ (pow x 2) (log 2.0)) (- (+ (/ 0.125 (log 2.0)) (/ 1/2 (pow 2.0 2))) 0.25))

series1.4s

Counts

4 → 12

Calls

4 calls:

617.0ms	(+ (log (log 2.0)) (* 0.5 (/ x (log 2.0))))
152.0ms	(/ (pow x 2) (log 2.0))
200.0ms	(/ x (log 2.0))
443.0ms	(* (/ (pow x 2) (log 2.0)) (- (+ (/ 0.125 (log 2.0)) (/ 1/2 (pow 2.0 2))) 0.25))

simplify897.0ms

Counts

189 → 189

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	237	3085
1	581	2953
2	2009	2665
done	5001	2656

prune615.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes35.0ms

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	25	35
1	30	35
done	30	35

end0.0ms

sample1.7s

Algorithm

intervals

Results

921.0ms	2370×	body	10240	exit
305.0ms	8352×	body	80	valid
67.0ms	251×	body	640	valid
62.0ms	127×	body	1280	valid
28.0ms	185×	body	320	valid
9.0ms	104×	body	160	valid