Details

sample155.0ms

Algorithm

intervals

Results

70.0ms	115×	body	1280	valid
33.0ms	77×	body	640	valid
22.0ms	251×	body	80	valid
11.0ms	38×	body	320	valid
3.0ms	16×	body	160	valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
4	36
3	31
2	24
1	14
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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:

47.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify3.2s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
4	4975
3	1271
2	437
1	171
0	74

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))
0.0ms	(fma 1/3 (* x x) 2)
6.0ms	(* (fma 1/3 (* x x) 2) x)

series303.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(fma 1/60 (pow x 5) (* (fma 1/3 (* x x) 2) x))
65.0ms	(fma 1/3 (* x x) 2)
152.0ms	(* (fma 1/3 (* x x) 2) x)

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5021
3	2354
2	410
1	129
0	66

prune224.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`add-exp-log`
7×	`associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down`
3×	`expm1-log1p-u` `pow1` `associate-l` `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 (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5)))
0.0ms	(fma 1/3 (* x x) 2)
15.0ms	(* 1/60 (pow x 5))

series240.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5)))
86.0ms	(fma 1/3 (* x x) 2)
87.0ms	(* 1/60 (pow x 5))

simplify1.7s

Counts

59 → 59

Iterations

Iter	Nodes
done	5039
3	1678
2	462
1	171
0	88

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/60 (pow x 5) (exp (log (* x (fma x (* x 1/3) 2)))))
0.0b	(* x (fma x (* x 1/3) 2))
0.4b	(* x 1/3)
3.0b	(exp (log (* x (fma x (* x 1/3) 2))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l`
5×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `fma-udef`
2×	`prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `exp-sum` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

0.0ms	(fma 1/60 (pow x 5) (exp (log (* x (fma x (* x 1/3) 2)))))
6.0ms	(* x (fma x (* x 1/3) 2))
6.0ms	(* x 1/3)
20.0ms	(exp (log (* x (fma x (* x 1/3) 2))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(fma 1/60 (pow x 5) (exp (log (* x (fma x (* x 1/3) 2)))))
135.0ms	(* x (fma x (* x 1/3) 2))
15.0ms	(* x 1/3)
104.0ms	(exp (log (* x (fma x (* x 1/3) 2))))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	2235
2	580
1	209
0	105

prune393.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.4s	3343×	body	1280	valid
1.1s	2470×	body	640	valid
967.0ms	8232×	body	80	valid
468.0ms	1259×	body	320	valid
103.0ms	636×	body	160	valid