Details

sample174.0ms

Algorithm

intervals

Results

73.0ms	108×	body	1280	valid
48.0ms	85×	body	640	valid
21.0ms	281×	body	80	valid
10.0ms	37×	body	320	valid
4.0ms	24×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	36
6	36
5	35
4	33
3	29
2	22
1	14
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize11.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) (exp (- x)))

rewrite28.0ms

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:

28.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify3.1s

Counts

32 → 32

Iterations

Iter	Nodes
4	3839
3	1106
2	406
1	169
0	74

prune151.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))
0.0b	(* (fma (* 1/3 x) x 2) x)
0.3b	(* 1/3 x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))
12.0ms	(* (fma (* 1/3 x) x 2) x)
10.0ms	(* 1/3 x)

series312.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))
172.0ms	(* (fma (* 1/3 x) x 2) x)
27.0ms	(* 1/3 x)

simplify3.7s

Counts

62 → 62

Iterations

Iter	Nodes
4	5891
3	1328
2	379
1	157
0	82

prune279.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series142.0ms

Counts

1 → 3

Calls

1 calls:

142.0ms

(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify1.1s

Counts

14 → 14

Iterations

Iter	Nodes
5	3186
4	811
3	348
2	138
1	65
0	35

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))))
6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
6.6b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

12.0ms	(* (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))) (cbrt (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))))
104.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
126.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))
126.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
4	3658
3	1222
2	502
1	200
0	94

prune602.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.6s	3279×	body	1280	valid
1.2s	2560×	body	640	valid
751.0ms	8293×	body	80	valid
348.0ms	1231×	body	320	valid
137.0ms	671×	body	160	valid