Details

sample78.0ms

Algorithm

intervals

Results

38.0ms	113×	body	1280	valid
15.0ms	71×	body	640	valid
8.0ms	217×	body	80	valid
7.0ms	48×	body	320	valid
1.0ms	15×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:

20.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify3.1s

Counts

32 → 32

Iterations

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

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

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

series180.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
103.0ms	(* (pow x 5) 1/60)

simplify2.1s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
3	1415
2	370
1	147
0	72

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
20×	`associate-l`
19×	`pow1`
18×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
16×	`add-exp-log`
12×	`associate-r`
10×	`add-cbrt-cube` `unswap-sqr`
8×	`unpow-prod-down` `sqrt-pow1` `pow1/2` `swap-sqr`
7×	`prod-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-prod-down` `pow-sqr` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `fma-udef`

Counts

4 → 119

Calls

4 calls:

1.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
24.0ms	(* (pow x 5) 1/60)
29.0ms	(* (pow x 5) 1/60)
17.0ms	(* (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
78.0ms	(* (pow x 5) 1/60)
98.0ms	(* (pow x 5) 1/60)
109.0ms	(* (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

simplify2.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
3	2058
2	501
1	220
0	117

prune628.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (exp x) (exp (- x))))
0.0b	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
6.2b	(- (exp x) (exp (- x)))
6.2b	(- (exp x) (exp (- x)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`sqrt-prod`
27×	`add-cube-cbrt`
20×	`pow1`
18×	`prod-diff`
14×	`sqrt-div`
12×	`swap-sqr`
9×	`sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l` `add-log-exp`
7×	`difference-of-squares`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-l/` `associate-r/`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 146

Calls

4 calls:

24.0ms	(sqrt (- (exp x) (exp (- x))))
114.0ms	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
21.0ms	(- (exp x) (exp (- x)))
18.0ms	(- (exp x) (exp (- x)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (- (exp x) (exp (- x))))
49.0ms	(* (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))))
46.0ms	(- (exp x) (exp (- x)))
43.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
3	2053
2	770
1	326
0	156

prune570.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	3398×	body	1280	valid
872.0ms	2462×	body	640	valid
840.0ms	8202×	body	80	valid
319.0ms	1246×	body	320	valid
74.0ms	623×	body	160	valid