Details

sample250.0ms

Algorithm

intervals

Results

155.0ms	114×	body	1280	valid
57.0ms	76×	body	640	valid
11.0ms	31×	body	320	valid
9.0ms	256×	pre	80	true
6.0ms	26×	body	160	valid
1.0ms	9×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	12
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1 x)) (log (+ 1 x)))
7.1b	(log (+ 1 x))
7.1b	(log (- 1 x))

rewrite41.0ms

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:

17.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
3.0ms	(log (+ 1 x))
19.0ms	(log (- 1 x))

series153.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (log (- 1 x)) (log (+ 1 x)))
26.0ms	(log (+ 1 x))
42.0ms	(log (- 1 x))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
3	2000
2	1126
1	404
0	178

prune643.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`add-sqr-sqrt`
3×	`sum-log` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`+-commutative` `associate-+l+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

15.0ms	(* (* x x) 1/2)
21.0ms	(+ (+ x 1) (* (* x x) 1/2))

series61.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (* x x) 1/2)
28.0ms	(+ (+ x 1) (* (* x x) 1/2))

simplify928.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	2001
3	2001
2	722
1	195
0	67

prune238.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp (* x x)))
0.0b	(+ (+ x 1) (log (sqrt (exp (* x x)))))
3.7b	(log (sqrt (exp (* x x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`log-prod`
9×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `add-log-exp`
7×	`log-pow`
6×	`associate-+r+` `sqrt-pow1` `distribute-lft-out`
4×	`add-exp-log`
3×	`sum-log` `add-cbrt-cube` `insert-posit16`
2×	`exp-prod` `exp-to-pow` `pow1/2`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `flip3-+` `rem-log-exp` `flip-+`

Counts

3 → 60

Calls

3 calls:

5.0ms	(sqrt (exp (* x x)))
40.0ms	(+ (+ x 1) (log (sqrt (exp (* x x)))))
6.0ms	(log (sqrt (exp (* x x))))

series432.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(sqrt (exp (* x x)))
124.0ms	(+ (+ x 1) (log (sqrt (exp (* x x)))))
279.0ms	(log (sqrt (exp (* x x))))

simplify1.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	2031
3	2031
2	665
1	201
0	86

prune488.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (- 1 x)) (+ x (* (* x x) (- (* 1/3 x) 1/2))))
0.0b	(* (* x x) (- (* 1/3 x) 1/2))
0.3b	(* 1/3 x)
7.1b	(log (- 1 x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`pow1`
14×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`times-frac`
6×	`log-prod` `associate-r`
5×	`log-pow`
4×	`log-div` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l*` `add-log-exp`
3×	`associate-/r*` `flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-sub` `associate-r/` `associate-/r/` `-commutative` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 99

Calls

4 calls:

29.0ms	(/ (log (- 1 x)) (+ x (* (* x x) (- (* 1/3 x) 1/2))))
50.0ms	(* (* x x) (- (* 1/3 x) 1/2))
5.0ms	(* 1/3 x)
4.0ms	(log (- 1 x))

series223.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (log (- 1 x)) (+ x (* (* x x) (- (* 1/3 x) 1/2))))
88.0ms	(* (* x x) (- (* 1/3 x) 1/2))
22.0ms	(* 1/3 x)
30.0ms	(log (- 1 x))

simplify1.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	2001
3	2001
2	1776
1	587
0	229

prune606.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
3	33
2	29
1	16
0	8

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.2s	3417×	body	1280	valid
2.4s	2498×	body	640	valid
593.0ms	1260×	body	320	valid
294.0ms	8000×	pre	80	true
179.0ms	619×	body	160	valid
23.0ms	206×	body	80	valid