Details

sample132.0ms

Algorithm

intervals

Results

96.0ms	184×	body	1280	valid
11.0ms	249×	body	80	valid
10.0ms	42×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify537.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	225
10	225
9	215
8	135
7	72
6	59
5	51
4	48
3	39
2	26
1	15
0	7

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.8b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2)
3.2b	(+ (- (exp x) 2) (exp (- x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 67

Calls

2 calls:

12.0ms	(- (exp x) 2)
48.0ms	(+ (- (exp x) 2) (exp (- x)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (exp x) 2)
67.0ms	(+ (- (exp x) 2) (exp (- x)))

simplify2.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3952
2	944
1	300
0	124

prune324.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* (* x x) (* x x)) 1/12 (* x x))
0.1b	(* (* x x) (* (* x x) (* x x)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

848×	`pow1`
370×	`pow-prod-up`
175×	`pow-prod-down`
153×	`pow-sqr`
140×	`pow-plus`
99×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`cube-unmult` `fma-udef`

Counts

4 → 337

Calls

4 calls:

0.0ms	(fma (* (* x x) (* x x)) 1/12 (* x x))
97.0ms	(* (* x x) (* (* x x) (* x x)))
24.0ms	(* (* x x) (* x x))
34.0ms	(* (* x x) (* x x))

series336.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(fma (* (* x x) (* x x)) 1/12 (* x x))
67.0ms	(* (* x x) (* (* x x) (* x x)))
67.0ms	(* (* x x) (* x x))
56.0ms	(* (* x x) (* x x))

simplify2.9s

Counts

349 → 349

Iterations

Iter	Nodes
done	5000
3	2568
2	799
1	350
0	135

prune388.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* (* x x) (* x x)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
1.2b	(log (exp (* (* x x) (* (* x x) (* x x)))))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

849×	`pow1`
370×	`pow-prod-up`
175×	`pow-prod-down`
153×	`pow-sqr`
140×	`pow-plus`
99×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `associate-r` `associate-l` `log-pow` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`exp-prod` `exp-to-pow` `cube-unmult` `rem-log-exp`

Counts

4 → 343

Calls

4 calls:

88.0ms	(* (* x x) (* (* x x) (* x x)))
24.0ms	(* (* x x) (* x x))
38.0ms	(* (* x x) (* x x))
12.0ms	(log (exp (* (* x x) (* (* x x) (* x x)))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (* x x) (* (* x x) (* x x)))
54.0ms	(* (* x x) (* x x))
70.0ms	(* (* x x) (* x x))
66.0ms	(log (exp (* (* x x) (* (* x x) (* x x)))))

simplify4.0s

Counts

355 → 355

Iterations

Iter	Nodes
done	5002
4	3508
3	1370
2	630
1	361
0	139

prune464.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ -2 (exp (- x)))
2.9b	(+ (exp x) (+ -2 (exp (- x))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-log-exp`
6×	`fma-def`
4×	`add-sqr-sqrt` `sum-log` `add-cube-cbrt` `distribute-lft-out`
2×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`associate-+r+`

Counts

2 → 39

Calls

2 calls:

11.0ms	(+ -2 (exp (- x)))
30.0ms	(+ (exp x) (+ -2 (exp (- x))))

series131.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ -2 (exp (- x)))
108.0ms	(+ (exp x) (+ -2 (exp (- x))))

simplify2.3s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
3	4270
2	878
1	220
0	80

prune206.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.7s	5608×	body	1280	valid
484.0ms	8115×	body	80	valid
431.0ms	1252×	body	640	valid
159.0ms	629×	body	320	valid
42.0ms	336×	body	160	valid