Details

sample260.0ms

Algorithm

intervals

Results

166.0ms	118×	body	1280	valid
51.0ms	75×	body	640	valid
12.0ms	32×	body	320	valid
6.0ms	256×	pre	80	true
5.0ms	23×	body	160	valid
1.0ms	8×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.3b	(log (- 1.0 x))
6.4b	(log (+ 1.0 x))

rewrite56.0ms

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:

42.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.0ms	(log (- 1.0 x))
5.0ms	(log (+ 1.0 x))

series320.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
83.0ms	(log (- 1.0 x))
56.0ms	(log (+ 1.0 x))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1758
1	432
0	185

prune336.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.6b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b	(/ (log (- 1.0 x)) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))
6.3b	(log (- 1.0 x))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

34.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
144.0ms	(/ (log (- 1.0 x)) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))
8.0ms	(log (- 1.0 x))

series242.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
156.0ms	(/ (log (- 1.0 x)) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))
46.0ms	(log (- 1.0 x))

simplify2.8s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	3909
1	738
0	271

prune592.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite600.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-cbrt-cube` `add-exp-log`
28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
18×	`times-frac` `prod-exp` `cbrt-unprod`
17×	`pow1`
16×	`associate-*l/` `add-cube-cbrt`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r/` `distribute-lft-out--`
6×	`associate-r` `pow-prod-down` `frac-add` `associate-/l*`
4×	`frac-times` `flip3-+` `associate-*r/` `log-pow` `flip-+` `difference-of-squares`
3×	`associate-/r*` `add-log-exp`
2×	`associate-l` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `div-sub` `div-inv` `flip--`

Counts

3 → 106

Calls

3 calls:

63.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
61.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
467.0ms	(/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))

series250.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
42.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
170.0ms	(/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))

simplify2.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	3959
1	703
0	227

prune582.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
60×	`exp-prod`
58×	`add-sqr-sqrt`
54×	`times-frac`
41×	`log-pow`
37×	`add-cube-cbrt`
28×	`associate-*l/`
24×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
20×	`pow1` `distribute-lft-out--`
18×	`frac-add`
12×	`flip3-+` `flip-+`
10×	`difference-of-squares`
9×	`prod-exp` `cbrt-unprod`
7×	`frac-times` `associate-*r/`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`log-prod` `associate-/r` `div-sub` `associate-r*` `pow-prod-down` `div-inv`
2×	`exp-diff` `associate-/l/`
1×	`log-div` `clear-num` `frac-2neg` `flip3--` `rem-log-exp` `associate-l` `*-commutative` `flip--` `unswap-sqr` `rem-exp-log`

Counts

4 → 160

Calls

4 calls:

41.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
742.0ms	(log (exp (/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))))
772.0ms	(exp (/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0)))))
528.0ms	(/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (/ x 1.0) (/ x 1.0)) 1/2)
162.0ms	(log (exp (/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))))
202.0ms	(exp (/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0)))))
134.0ms	(/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))

simplify2.9s

Counts

172 → 172

Iterations

Iter	Nodes
done	5001
2	4141
1	762
0	286

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	27
3	27
2	25
1	23
0	18

end0.0ms

sample6.9s

Algorithm

intervals

Results

4.5s	3419×	body	1280	valid
1.5s	2441×	body	640	valid
378.0ms	1298×	body	320	valid
175.0ms	8000×	pre	80	true
108.0ms	634×	body	160	valid
15.0ms	208×	body	80	valid