Details

sample260.0ms

Algorithm

intervals

Results

167.0ms	118×	body	1280	valid
46.0ms	69×	body	640	valid
15.0ms	40×	body	320	valid
14.0ms	256×	pre	80	true
5.0ms	23×	body	160	valid
1.0ms	6×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
6.4b	(log (- 1 x))
6.5b	(log (+ 1 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
10×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`insert-posit16` `add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 73

Calls

3 calls:

19.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
5.0ms	(log (- 1 x))
5.0ms	(log (+ 1 x))

series161.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
34.0ms	(log (- 1 x))
50.0ms	(log (+ 1 x))

simplify2.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3941
2	1125
1	404
0	178

prune322.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`diff-log` `insert-posit16`
1×	`sum-log` `sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

13.0ms	(* -1/2 (* x x))
88.0ms	(- (+ (* -1/2 (* x x)) -1) x)

series85.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* -1/2 (* x x))
34.0ms	(- (+ (* -1/2 (* x x)) -1) x)

simplify2.9s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
3	2834
2	581
1	182
0	74

prune107.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* -1/2 (* x x)) -1) x)
0.0b	(* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x))
0.0b	(cbrt (* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x)))
0.0b	(* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

61×	`flip3--` `flip--`
60×	`frac-times`
30×	`pow1` `associate-*l/`
27×	`*-un-lft-identity`
26×	`cbrt-div`
24×	`add-sqr-sqrt`
18×	`associate-*r/`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r`
9×	`add-cube-cbrt` `add-log-exp`
8×	`distribute-lft-out--`
7×	`pow-plus` `swap-sqr` `pow-prod-up`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `difference-of-squares`
5×	`sub-neg` `associate--l+`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow2` `pow-sqr`
2×	`diff-log` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 165

Calls

4 calls:

129.0ms	(- (+ (* -1/2 (* x x)) -1) x)
870.0ms	(* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x))
507.0ms	(cbrt (* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x)))
557.0ms	(* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x))

series175.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (+ (* -1/2 (* x x)) -1) x)
50.0ms	(* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x))
56.0ms	(cbrt (* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x)))
44.0ms	(* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x))

simplify2.3s

Counts

177 → 177

Iterations

Iter	Nodes
done	5006
2	2497
1	639
0	231

prune613.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
0.0b	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
0.0b	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
0.0b	(* (cbrt (- (+ (* -1/2 (* x x)) -1) x)) (cbrt (- (+ (* -1/2 (* x x)) -1) x)))

rewrite897.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

407.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
54.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
66.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
370.0ms	(* (cbrt (- (+ (* -1/2 (* x x)) -1) x)) (cbrt (- (+ (* -1/2 (* x x)) -1) x)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
102.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
86.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
110.0ms	(* (cbrt (- (+ (* -1/2 (* x x)) -1) x)) (cbrt (- (+ (* -1/2 (* x x)) -1) x)))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5011
3	2896
2	918
1	358
0	160

prune544.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes37.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.2s	3460×	body	1280	valid
1.8s	2461×	body	640	valid
423.0ms	1227×	body	320	valid
307.0ms	8000×	pre	80	true
125.0ms	632×	body	160	valid
19.0ms	220×	body	80	valid