Details

sample82.0ms

Algorithm

intervals

Results

35.0ms	93×	body	1280	valid
21.0ms	104×	body	640	valid
8.0ms	260×	body	80	valid
4.0ms	31×	body	320	valid
2.0ms	20×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize10.0ms

Local error

Found 1 expressions with local error:

4.5b	(- (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` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

35.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify3.1s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
4	4704
3	1166
2	418
1	170
0	73

prune109.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

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

series256.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(fma 1/3 (* x x) 2)
81.0ms	(fma (pow x 5) 1/60 (* x (fma 1/3 (* x x) 2)))
118.0ms	(* x (fma 1/3 (* x x) 2))

simplify1.8s

Counts

51 → 51

Iterations

Iter	Nodes
done	5025
3	1864
2	390
1	143
0	66

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* 1/3 (* x x))) (* x 2))
0.0b	(fma (pow x 5) 1/60 (+ (* x (* 1/3 (* x x))) (* x 2)))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

46.0ms	(+ (* x (* 1/3 (* x x))) (* x 2))
0.0ms	(fma (pow x 5) 1/60 (+ (* x (* 1/3 (* x x))) (* x 2)))
47.0ms	(* x (* 1/3 (* x x)))
25.0ms	(* 1/3 (* x x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ (* x (* 1/3 (* x x))) (* x 2))
81.0ms	(fma (pow x 5) 1/60 (+ (* x (* 1/3 (* x x))) (* x 2)))
47.0ms	(* x (* 1/3 (* x x)))
42.0ms	(* 1/3 (* x x))

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1118
1	282
0	102

prune347.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
23×	`pow1`
18×	`sqrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `associate-l`
10×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`unswap-sqr`
5×	`pow-prod-down` `pow-prod-up` `fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `pow-sqr` `*-commutative` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 105

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (* x (fma 1/3 (* x x) 2)))
8.0ms	(* x (fma 1/3 (* x x) 2))
6.0ms	(* x (fma 1/3 (* x x) 2))
11.0ms	(* (sqrt (fma (pow x 5) 1/60 (* x (fma 1/3 (* x x) 2)))) (sqrt (fma (pow x 5) 1/60 (* x (fma 1/3 (* x x) 2)))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(fma (pow x 5) 1/60 (* x (fma 1/3 (* x x) 2)))
89.0ms	(* x (fma 1/3 (* x x) 2))
107.0ms	(* x (fma 1/3 (* x x) 2))
91.0ms	(* (sqrt (fma (pow x 5) 1/60 (* x (fma 1/3 (* x x) 2)))) (sqrt (fma (pow x 5) 1/60 (* x (fma 1/3 (* x x) 2)))))

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5006
3	1755
2	463
1	195
0	104

prune574.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

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	18
1	18
0	14

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	3406×	body	1280	valid
1.2s	2452×	body	640	valid
473.0ms	8265×	body	80	valid
216.0ms	1260×	body	320	valid
64.0ms	615×	body	160	valid