Details

sample86.0ms

Algorithm

intervals

Results

36.0ms	58×	body	1280	valid
19.0ms	43×	body	640	valid
12.0ms	131×	body	80	valid
4.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify13.5s

Counts

1 → 1

Iterations

Iter	Nodes
9	10145
8	1977
7	586
6	228
5	100
4	48
3	27
2	20
1	16
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

20.0ms	(/ 2 (+ 1 (exp (* -2 x))))
10.0ms	(+ 1 (exp (* -2 x)))
96.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series101.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))
64.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify11.3s

Counts

76 → 76

Iterations

Iter	Nodes
4	3936
3	1450
2	600
1	264
0	120

prune660.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))
2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
13.0ms	(+ 1 (exp (* -2 x)))
72.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series90.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))
56.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify11.3s

Counts

76 → 76

Iterations

Iter	Nodes
4	3936
3	1450
2	600
1	264
0	120

prune727.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* 1/3 x))
0.1b	(* x (* x (* 1/3 x)))
0.3b	(* 1/3 x)
18.9b	(- (* (pow x 5) 2/15) (* x (* x (* 1/3 x))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r`
4×	`insert-posit16`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

26.0ms	(* x (* 1/3 x))
54.0ms	(* x (* x (* 1/3 x)))
11.0ms	(* 1/3 x)
20.0ms	(- (* (pow x 5) 2/15) (* x (* x (* 1/3 x))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (* 1/3 x))
75.0ms	(* x (* x (* 1/3 x)))
21.0ms	(* 1/3 x)
239.0ms	(- (* (pow x 5) 2/15) (* x (* x (* 1/3 x))))

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
3	3866
2	770
1	237
0	97

prune855.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes359.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.1b

bsearch1.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	35
1	35
0	25

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	1702×	body	1280	valid
791.0ms	4125×	body	80	valid
525.0ms	1218×	body	640	valid
210.0ms	630×	body	320	valid
59.0ms	325×	body	160	valid