Details

sample96.0ms

Algorithm

intervals

Results

50.0ms	107×	body	1280	valid
18.0ms	78×	body	640	valid
10.0ms	264×	body	80	valid
7.0ms	45×	body	320	valid
1.0ms	16×	body	160	valid

simplify33.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) (exp (- x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

24.0ms

(- (exp x) (exp (- x)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (exp x) (exp (- x)))

simplify2.7s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
4	4578
3	1173
2	419
1	171
0	74

prune91.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/3 (* x x) 2)
0.0b	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
0.1b	(* (pow x 5) 1/60)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`add-exp-log`
7×	`associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down`
3×	`expm1-log1p-u` `pow1` `associate-r` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma 1/3 (* x x) 2)
0.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
11.0ms	(* (pow x 5) 1/60)

series220.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(fma 1/3 (* x x) 2)
80.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
83.0ms	(* (pow x 5) 1/60)

simplify1.4s

Counts

59 → 59

Iterations

Iter	Nodes
done	5003
3	1674
2	445
1	172
0	86

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 3 x))
0.0b	(exp (* 3 x))
0.0b	(fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1))
4.9b	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

6.0ms	(exp (* 3 x))
6.0ms	(exp (* 3 x))
0.0ms	(fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1))
38.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (* 3 x))
8.0ms	(exp (* 3 x))
78.0ms	(fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1))
65.0ms	(+ (exp (* 3 x)) (/ -1 (exp (* 3 x))))

simplify1.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
3	1544
2	496
1	205
0	87

prune258.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (exp x))
0.0b	(/ 1 (exp x))
0.0b	(fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1))
0.2b	(/ (fma (pow x 5) 81/20 (* x (fma (* x x) 9 6))) (fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`add-exp-log` `pow-flip`
6×	`pow1` `exp-prod`
5×	`div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-inv`
2×	`rec-exp` `1-exp` `inv-pow`
1×	`fma-udef`

Counts

4 → 115

Calls

4 calls:

7.0ms	(/ 1 (exp x))
7.0ms	(/ 1 (exp x))
0.0ms	(fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1))
5.0ms	(/ (fma (pow x 5) 81/20 (* x (fma (* x x) 9 6))) (fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ 1 (exp x))
12.0ms	(/ 1 (exp x))
110.0ms	(fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1))
171.0ms	(/ (fma (pow x 5) 81/20 (* x (fma (* x x) 9 6))) (fma (/ 1 (exp x)) (/ 1 (exp x)) (fma (exp x) (exp x) 1)))

simplify1.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5002
3	2199
2	666
1	293
0	153

prune960.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.1s	3323×	body	1280	valid
974.0ms	2528×	body	640	valid
377.0ms	7882×	body	80	valid
305.0ms	1248×	body	320	valid
112.0ms	633×	body	160	valid