Details

sample231.0ms

Algorithm

intervals

Results

136.0ms	108×	body	1280	valid
53.0ms	86×	body	640	valid
17.0ms	38×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	17×	body	160	valid
1.0ms	7×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0b	(log (+ 1.0 x))
6.1b	(log (- 1.0 x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

24.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0ms	(log (+ 1.0 x))
8.0ms	(log (- 1.0 x))

series320.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
68.0ms	(log (+ 1.0 x))
72.0ms	(log (- 1.0 x))

simplify3.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
3	4806
2	1325
1	432
0	185

prune334.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 60.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
6.1b	(log (- 1.0 x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
20×	`times-frac`
16×	`add-sqr-sqrt`
14×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`distribute-lft-out`
5×	`log-prod` `associate-/r*` `add-exp-log`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
2×	`flip3--` `div-sub` `associate-/r/` `flip--` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

64.0ms	(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
4.0ms	(log (- 1.0 x))

series302.0ms

Counts

2 → 6

Calls

2 calls:

223.0ms	(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
80.0ms	(log (- 1.0 x))

simplify2.2s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1449
1	447
0	186

prune278.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-*l/` `distribute-lft-out` `associate-/l/`
6×	`frac-sub`
5×	`pow1` `associate-/r*`
4×	`flip3--` `log-pow` `flip--`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`frac-times` `associate-*r/` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-sub` `div-exp` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

150.0ms

(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

series145.0ms

Counts

1 → 3

Calls

1 calls:

145.0ms

(/ (- (- (log 1.0) (* 1.0 x)) (* (* (/ x 1.0) (/ x 1.0)) 1/2)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

simplify1.8s

Counts

49 → 49

Iterations

Iter	Nodes
done	5006
2	1310
1	312
0	111

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b

(/ 1 (/ (+ (- (* 1.0 x) (/ (* (/ x 1.0) (/ x 1.0)) 2)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (/ (* (/ x 1.0) (/ x 1.0)) 2))))

0.0b

(/ (+ (- (* 1.0 x) (/ (* (/ x 1.0) (/ x 1.0)) 2)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (/ (* (/ x 1.0) (/ x 1.0)) 2)))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

290×	`times-frac`
247×	`*-un-lft-identity`
206×	`add-sqr-sqrt`
102×	`add-cube-cbrt`
62×	`distribute-lft-out`
52×	`difference-of-squares`
44×	`associate-/r*`
34×	`pow1`
31×	`log-pow`
26×	`distribute-lft-out--`
21×	`associate-/r/`
15×	`add-exp-log`
10×	`flip3--` `frac-sub` `flip--`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `add-log-exp` `associate-/l/`
1×	`flip3-+` `div-sub` `associate-+l-` `flip-+` `pow-flip` `inv-pow`

Counts

2 → 236

Calls

2 calls:

132.0ms

(/ 1 (/ (+ (- (* 1.0 x) (/ (* (/ x 1.0) (/ x 1.0)) 2)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (/ (* (/ x 1.0) (/ x 1.0)) 2))))

179.0ms

(/ (+ (- (* 1.0 x) (/ (* (/ x 1.0) (/ x 1.0)) 2)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (/ (* (/ x 1.0) (/ x 1.0)) 2)))

series272.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms

(/ 1 (/ (+ (- (* 1.0 x) (/ (* (/ x 1.0) (/ x 1.0)) 2)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (/ (* (/ x 1.0) (/ x 1.0)) 2))))

146.0ms

(/ (+ (- (* 1.0 x) (/ (* (/ x 1.0) (/ x 1.0)) 2)) (log 1.0)) (- (- (log 1.0) (* 1.0 x)) (/ (* (/ x 1.0) (/ x 1.0)) 2)))

simplify2.9s

Counts

242 → 242

Iterations

Iter	Nodes
done	5000
2	2850
1	821
0	302

prune906.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

regimes51.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample6.6s

Algorithm

intervals

Results

4.1s	3451×	body	1280	valid
1.7s	2444×	body	640	valid
354.0ms	1275×	body	320	valid
126.0ms	8000×	pre	80	true
95.0ms	609×	body	160	valid
15.0ms	221×	body	80	valid