Details

sample353.0ms

Algorithm

intervals

Results

219.0ms	109×	body	1280	valid
80.0ms	86×	body	640	valid
17.0ms	30×	body	320	valid
11.0ms	256×	pre	80	true
7.0ms	21×	body	160	valid
1.0ms	10×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	31
2	31
1	26
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
6.2b	(log (+ 1 x))
6.3b	(log (- 1 x))

rewrite37.0ms

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:

23.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
5.0ms	(log (+ 1 x))
6.0ms	(log (- 1 x))

series149.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
24.0ms	(log (+ 1 x))
47.0ms	(log (- 1 x))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
3	4006
2	1504
1	712
0	178

prune782.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite150.0ms

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

Counts

2 → 37

Calls

2 calls:

29.0ms	(* (* x x) -1/2)
120.0ms	(- (+ (* (* x x) -1/2) -1) x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (* x x) -1/2)
24.0ms	(- (+ (* (* x x) -1/2) -1) x)

simplify737.0ms

Counts

43 → 43

Iterations

Iter	Nodes
3	2434
2	802
1	308
0	76

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite703.0ms

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:

514.0ms	(* (cbrt (- (+ (* (* x x) -1/2) -1) x)) (cbrt (- (+ (* (* x x) -1/2) -1) x)))
77.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
68.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
41.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))

series413.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (- (+ (* (* x x) -1/2) -1) x)) (cbrt (- (+ (* (* x x) -1/2) -1) x)))
88.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
123.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
80.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
3	3078
2	1319
1	656
0	160

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (+ (* (* x x) -1/2) -1) x))
0.0b	(cbrt (- (+ (* (* x x) -1/2) -1) x))
0.3b	(* x (+ (* x 1/18) 1/3))
0.4b	(* x 1/18)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`cbrt-prod` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l`
4×	`cbrt-div` `insert-posit16` `add-log-exp`
2×	`flip3--` `pow1/3` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 74

Calls

4 calls:

49.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
51.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
27.0ms	(* x (+ (* x 1/18) 1/3))
6.0ms	(* x 1/18)

series273.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
88.0ms	(cbrt (- (+ (* (* x x) -1/2) -1) x))
78.0ms	(* x (+ (* x 1/18) 1/3))
18.0ms	(* x 1/18)

simplify1.9s

Counts

86 → 86

Iterations

Iter	Nodes
3	4456
2	1451
1	615
0	145

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	7

end0.0ms

sample9.4s

Algorithm

intervals

Results

6.0s	3445×	body	1280	valid
2.1s	2484×	body	640	valid
630.0ms	1265×	body	320	valid
290.0ms	8000×	pre	80	true
169.0ms	623×	body	160	valid
22.0ms	183×	body	80	valid