Details

sample99.0ms

Algorithm

intervals

Results

53.0ms	77×	body	10240	exit
19.0ms	278×	body	80	valid
5.0ms	6×	body	1280	valid
4.0ms	9×	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: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.7b	(log (+ 1.0 (exp x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ 1.0 (exp x))
84.0ms	(log (+ 1.0 (exp x)))

simplify2.9s

Counts

33 → 33

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	61	292
1	129	279
2	289	257
3	608	255
4	1250	253
5	2434	253
done	5000	251

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.6b	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
0.7b	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
4.1b	(- (exp x) 1.0)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
54×	`times-frac`
37×	`add-sqr-sqrt`
35×	`add-cube-cbrt` `distribute-lft-out`
33×	`log-prod`
31×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `associate-/l*`
7×	`sum-cubes` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`pow-pow` `associate-/r/`
3×	`pow-unpow` `exp-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `log-div` `flip3--` `frac-2neg` `diff-log` `unpow3` `pow-exp` `clear-num` `log-pow` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 139

Calls

4 calls:

5.0ms	(pow (exp x) 3)
108.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
41.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
22.0ms	(- (exp x) 1.0)

series349.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp x) 3)
106.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
202.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
16.0ms	(- (exp x) 1.0)

simplify885.0ms

Counts

151 → 151

Iterations

Useful iterations: done (874.0ms)

Iter	Nodes	Cost
0	219	3892
1	498	3687
2	1605	3522
done	5001	3507

prune516.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 2)
0.6b	(/ (+ (pow 1.0 3) (* (pow (exp x) 2) (exp x))) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
0.7b	(log (/ (+ (pow 1.0 3) (* (pow (exp x) 2) (exp x))) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
4.1b	(- (exp x) 1.0)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt` `times-frac`
18×	`log-prod`
9×	`add-exp-log`
8×	`unpow2`
7×	`pow3` `sum-cubes`
6×	`pow1` `add-cbrt-cube` `add-log-exp`
4×	`pow-pow` `associate-/r/` `associate-/l*`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `log-div` `flip3--` `frac-2neg` `diff-log` `pow-exp` `clear-num` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

5.0ms	(pow (exp x) 2)
110.0ms	(/ (+ (pow 1.0 3) (* (pow (exp x) 2) (exp x))) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
38.0ms	(log (/ (+ (pow 1.0 3) (* (pow (exp x) 2) (exp x))) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
11.0ms	(- (exp x) 1.0)

series385.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (exp x) 2)
128.0ms	(/ (+ (pow 1.0 3) (* (pow (exp x) 2) (exp x))) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
222.0ms	(log (/ (+ (pow 1.0 3) (* (pow (exp x) 2) (exp x))) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
16.0ms	(- (exp x) 1.0)

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	214	2868
1	484	2515
2	1468	2334
done	5000	2254

prune618.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 1 expressions with local error:

7.5b	(log (+ 2.0 (* x (+ (* 0.5 x) 1.0))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-prod`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div` `*-un-lft-identity`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 14

Calls

1 calls:

7.0ms

(log (+ 2.0 (* x (+ (* 0.5 x) 1.0))))

series109.0ms

Counts

1 → 3

Calls

1 calls:

109.0ms

(log (+ 2.0 (* x (+ (* 0.5 x) 1.0))))

simplify1.6s

Counts

17 → 17

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	72	353
1	178	341
2	552	300
3	2071	297
done	5001	287

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes37.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	23	28
done	23	28

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	2432×	body	10240	exit
1.2s	8361×	body	80	valid
144.0ms	256×	body	640	valid
102.0ms	134×	body	1280	valid
48.0ms	186×	body	320	valid
16.0ms	103×	body	160	valid