Details

sample141.0ms

Algorithm

intervals

Results

53.0ms	113×	body	1280	valid
21.0ms	71×	body	640	valid
10.0ms	217×	body	80	valid
9.0ms	48×	body	320	valid
2.0ms	15×	body	160	valid

simplify86.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
6	36
5	35
4	33
3	30
2	24
1	14
0	7

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize18.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) (exp (- x)))

rewrite36.0ms

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:

33.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify8.5s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
4	4631
3	1183
2	413
1	170
0	74

prune308.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (fma x (* 1/3 x) 2))
0.3b	(* 1/3 x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

20.0ms	(* x (fma x (* 1/3 x) 2))
19.0ms	(* 1/3 x)

series194.0ms

Counts

2 → 6

Calls

2 calls:

158.0ms	(* x (fma x (* 1/3 x) 2))
36.0ms	(* 1/3 x)

simplify3.8s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	1634
2	428
1	154
0	69

prune517.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* 1/3 x))
0.1b	(* x (* x (* 1/3 x)))
0.3b	(* 1/3 x)

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

41.0ms	(* x (* 1/3 x))
108.0ms	(* x (* x (* 1/3 x)))
18.0ms	(* 1/3 x)

series129.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* x (* 1/3 x))
63.0ms	(* x (* x (* 1/3 x)))
20.0ms	(* 1/3 x)

simplify8.1s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	3134
2	657
1	185
0	76

prune684.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ -1 (exp x))
6.1b	(log (exp (+ (exp x) (/ -1 (exp x)))))
6.2b	(+ (exp x) (/ -1 (exp x)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `log-pow` `add-log-exp`
4×	`pow1` `log-prod` `exp-prod` `add-exp-log`
3×	`expm1-log1p-u` `associate-/r` `fma-def` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `exp-sum` `flip-+` `div-inv`

Counts

3 → 68

Calls

3 calls:

18.0ms	(/ -1 (exp x))
115.0ms	(log (exp (+ (exp x) (/ -1 (exp x)))))
44.0ms	(+ (exp x) (/ -1 (exp x)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ -1 (exp x))
82.0ms	(log (exp (+ (exp x) (/ -1 (exp x)))))
79.0ms	(+ (exp x) (/ -1 (exp x)))

simplify4.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	1605
2	629
1	256
0	117

prune727.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.8s	3398×	body	1280	valid
896.0ms	8202×	body	80	valid
824.0ms	2462×	body	640	valid
281.0ms	1246×	body	320	valid
215.0ms	623×	body	160	valid