Details

sample426.0ms

Algorithm

intervals

Results

254.0ms	121×	body	1280	valid
79.0ms	80×	body	640	valid
36.0ms	256×	pre	80	true
15.0ms	17×	body	160	valid
12.0ms	28×	body	320	valid
1.0ms	10×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize57.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.7b	(log (- 1.0 x))
5.7b	(log (+ 1.0 x))

rewrite167.0ms

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` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

142.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms	(log (- 1.0 x))
12.0ms	(log (+ 1.0 x))

series893.0ms

Counts

3 → 9

Calls

3 calls:

558.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
206.0ms	(log (- 1.0 x))
102.0ms	(log (+ 1.0 x))

simplify16.2s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	4727
2	1321
1	432
0	186

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 58.8b

localize55.0ms

Local error

Found 3 expressions with local error:

0.0b	(* -1/2 (* (/ x 1.0) (/ x 1.0)))
0.0b	(/ (log (- 1.0 x)) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (log 1.0) (* x 1.0))))
5.7b	(log (- 1.0 x))

rewrite908.0ms

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-*r/`
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-l` `pow-prod-down` `associate-l/` `associate-/r` `add-log-exp`
2×	`flip3--` `div-sub` `flip--`
1×	`frac-2neg` `rem-log-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

120.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))
725.0ms	(/ (log (- 1.0 x)) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (log 1.0) (* x 1.0))))
31.0ms	(log (- 1.0 x))

series1.5s

Counts

3 → 9

Calls

3 calls:

152.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))
913.0ms	(/ (log (- 1.0 x)) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (log 1.0) (* x 1.0))))
470.0ms	(log (- 1.0 x))

simplify9.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	2531
1	704
0	271

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize406.0ms

Local error

Found 2 expressions with local error:

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

rewrite880.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

126.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))
710.0ms	(/ (- (log 1.0) (+ (* x 1.0) (* (* (/ x 1.0) 1/2) (/ x 1.0)))) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (log 1.0) (* x 1.0))))

series352.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))
288.0ms	(/ (- (log 1.0) (+ (* x 1.0) (* (* (/ x 1.0) 1/2) (/ x 1.0)))) (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (+ (log 1.0) (* x 1.0))))

simplify5.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5006
2	2295
1	583
0	193

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 1 expressions with local error:

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

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 50

Calls

1 calls:

285.0ms

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

series236.0ms

Counts

1 → 3

Calls

1 calls:

236.0ms

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

simplify6.9s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1852
1	459
0	146

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes730.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

simplify27.0ms

Iterations

Iter	Nodes
done	24
1	24
0	16

end14.0ms

sample20.8s

Algorithm

intervals

Results

13.5s	3456×	body	1280	valid
3.4s	1249×	body	320	valid
2.7s	2423×	body	640	valid
328.0ms	8000×	pre	80	true
237.0ms	670×	body	160	valid
61.0ms	202×	body	80	valid