Details

sample267.0ms

Algorithm

intervals

Results

162.0ms	106×	body	1280	valid
57.0ms	76×	body	640	valid
19.0ms	43×	body	320	valid
10.0ms	256×	pre	80	true
6.0ms	22×	body	160	valid
1.0ms	9×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	13
2	13
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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:

21.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
19.0ms	(log (- 1 x))
3.0ms	(log (+ 1 x))

series171.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
34.0ms	(log (- 1 x))
27.0ms	(log (+ 1 x))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
3	3478
2	1063
1	389
0	178

prune614.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity` `diff-log`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

37.0ms

(- (- -1 (* (* 1/2 x) x)) x)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- (- -1 (* (* 1/2 x) x)) x)

simplify1.7s

Counts

22 → 22

Iterations

Iter	Nodes
4	3774
3	966
2	253
1	103
0	48

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

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:

102.0ms	(* (cbrt (- (- -1 (* (* 1/2 x) x)) x)) (cbrt (- (- -1 (* (* 1/2 x) x)) x)))
13.0ms	(cbrt (- (- -1 (* (* 1/2 x) x)) x))
9.0ms	(cbrt (- (- -1 (* (* 1/2 x) x)) x))
13.0ms	(cbrt (- (- -1 (* (* 1/2 x) x)) x))

series445.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- (- -1 (* (* 1/2 x) x)) x)) (cbrt (- (- -1 (* (* 1/2 x) x)) x)))
95.0ms	(cbrt (- (- -1 (* (* 1/2 x) x)) x))
104.0ms	(cbrt (- (- -1 (* (* 1/2 x) x)) x))
122.0ms	(cbrt (- (- -1 (* (* 1/2 x) x)) x))

simplify991.0ms

Counts

117 → 117

Iterations

Iter	Nodes
3	2263
2	884
1	350
0	161

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (cbrt -1) (cbrt -1)) (+ (+ (* (* 2/9 x) x) 1) (* x 2/3))) (cbrt (- (- -1 (* (* 1/2 x) x)) x)))
0.1b	(* (* 2/9 x) x)
0.3b	(* x 2/3)
0.4b	(* 2/9 x)

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
17×	`add-sqr-sqrt` `add-cbrt-cube` `associate-r`
13×	`*-un-lft-identity`
11×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`associate-l` `associate-*r/`
6×	`cbrt-div`
5×	`cbrt-prod`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip3--` `flip-+` `flip--`
2×	`associate-*l/` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

350.0ms	(* (* (* (cbrt -1) (cbrt -1)) (+ (+ (* (* 2/9 x) x) 1) (* x 2/3))) (cbrt (- (- -1 (* (* 1/2 x) x)) x)))
13.0ms	(* (* 2/9 x) x)
5.0ms	(* x 2/3)
5.0ms	(* 2/9 x)

series300.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (* (* (cbrt -1) (cbrt -1)) (+ (+ (* (* 2/9 x) x) 1) (* x 2/3))) (cbrt (- (- -1 (* (* 1/2 x) x)) x)))
35.0ms	(* (* 2/9 x) x)
23.0ms	(* x 2/3)
19.0ms	(* 2/9 x)

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
2	2269
1	582
0	216

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes89.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	7

end0.0ms

sample9.5s

Algorithm

intervals

Results

6.0s	3469×	body	1280	valid
2.2s	2432×	body	640	valid
598.0ms	1238×	body	320	valid
368.0ms	8000×	pre	80	true
174.0ms	646×	body	160	valid
26.0ms	215×	body	80	valid