Details

sample260.0ms

Algorithm

intervals

Results

166.0ms	118×	body	1280	valid
49.0ms	69×	body	640	valid
17.0ms	40×	body	320	valid
9.0ms	256×	pre	80	true
5.0ms	23×	body	160	valid
1.0ms	6×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize56.0ms

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))

rewrite40.0ms

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:

25.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
7.0ms	(log (- 1 x))
6.0ms	(log (+ 1 x))

series166.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
37.0ms	(log (- 1 x))
23.0ms	(log (+ 1 x))

simplify2.4s

Counts

82 → 82

Iterations

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

prune319.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite134.0ms

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:

20.0ms	(* -1/2 (* x x))
113.0ms	(- (+ (* -1/2 (* x x)) -1) x)

series80.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* -1/2 (* x x))
35.0ms	(- (+ (* -1/2 (* x x)) -1) x)

simplify2.7s

Counts

43 → 43

Iterations

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

prune131.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

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))

rewrite2.2s

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:

82.0ms	(- (+ (* -1/2 (* x x)) -1) x)
971.0ms	(* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x))
613.0ms	(cbrt (* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x)))
571.0ms	(* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (+ (* -1/2 (* x x)) -1) x)
52.0ms	(* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x))
46.0ms	(cbrt (* (* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x)) (- (+ (* -1/2 (* x x)) -1) x)))
31.0ms	(* (- (+ (* -1/2 (* x x)) -1) x) (- (+ (* -1/2 (* x x)) -1) x))

simplify2.4s

Counts

177 → 177

Iterations

Iter	Nodes
done	5006
2	2497
1	639
0	231

prune673.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize43.0ms

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)))

rewrite614.0ms

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:

70.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
72.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
40.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
428.0ms	(* (cbrt (- (+ (* -1/2 (* x x)) -1) x)) (cbrt (- (+ (* -1/2 (* x x)) -1) x)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
105.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
104.0ms	(cbrt (- (+ (* -1/2 (* x x)) -1) x))
126.0ms	(* (cbrt (- (+ (* -1/2 (* x x)) -1) x)) (cbrt (- (+ (* -1/2 (* x x)) -1) x)))

simplify2.1s

Counts

117 → 117

Iterations

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

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes61.0ms

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

sample8.8s

Algorithm

intervals

Results

5.6s	3460×	body	1280	valid
2.0s	2461×	body	640	valid
586.0ms	1227×	body	320	valid
296.0ms	8000×	pre	80	true
153.0ms	632×	body	160	valid
25.0ms	220×	body	80	valid