Details

sample115.0ms

Algorithm

intervals

Results

55.0ms	115×	body	1280	valid
24.0ms	77×	body	640	valid
14.0ms	251×	body	80	valid
8.0ms	38×	body	320	valid
2.0ms	16×	body	160	valid

simplify53.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize17.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) (exp (- x)))

rewrite19.0ms

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:

18.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.8s

Counts

32 → 32

Iterations

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

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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 x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
0.0ms	(fma 1/3 (* x x) 2)
9.0ms	(* (pow x 5) 1/60)

series204.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
64.0ms	(fma 1/3 (* x x) 2)
55.0ms	(* (pow x 5) 1/60)

simplify1.8s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	1767
2	448
1	173
0	86

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(/ -1 (exp x))
4.7b	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(sqrt (exp x))
4.0ms	(sqrt (exp x))
8.0ms	(/ -1 (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (exp x))
25.0ms	(sqrt (exp x))
13.0ms	(/ -1 (exp x))
114.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (/ -1 (exp x)))

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	1585
2	506
1	196
0	105

prune362.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes106.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.9s	3343×	body	1280	valid
869.0ms	8232×	body	80	valid
836.0ms	2470×	body	640	valid
327.0ms	1259×	body	320	valid
114.0ms	636×	body	160	valid