Details

sample142.0ms

Algorithm

intervals

Results

66.0ms	111×	body	1280	valid
31.0ms	82×	body	640	valid
20.0ms	292×	body	80	valid
9.0ms	31×	body	320	valid
3.0ms	20×	body	160	valid

simplify50.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.8b

localize26.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) (exp (- x)))

rewrite26.0ms

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:

26.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify1.3s

Counts

32 → 32

Iterations

Iter	Nodes
done	2102
4	2102
3	1173
2	419
1	171
0	74

prune328.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

0.0ms	(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
18.0ms	(* (pow x 5) 1/60)
17.0ms	(* 1/3 x)

series196.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
89.0ms	(* (pow x 5) 1/60)
17.0ms	(* 1/3 x)

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	2000
4	2000
3	1498
2	491
1	204
0	98

prune751.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
0.0b	(* (exp x) (exp x))
0.1b	(* (exp (- x)) (exp (- x)))
5.5b	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

94×	`exp-prod`
70×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
24×	`distribute-rgt-neg-in`
20×	`distribute-lft-neg-in`
19×	`pow-prod-down`
18×	`pow1`
17×	`pow-sqr` `pow-prod-up`
16×	`times-frac`
10×	`add-cbrt-cube`
8×	`neg-mul-1`
7×	`exp-neg`
6×	`neg-sub0` `exp-diff` `swap-sqr` `associate-r` `associate-l` `add-exp-log` `add-log-exp` `difference-of-squares`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`pow2` `pow-plus` `flip3--` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `un-div-inv` `flip-+` `div-inv`

Counts

4 → 174

Calls

4 calls:

59.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
23.0ms	(* (exp x) (exp x))
49.0ms	(* (exp (- x)) (exp (- x)))
34.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
15.0ms	(* (exp x) (exp x))
17.0ms	(* (exp (- x)) (exp (- x)))
92.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

simplify1.2s

Counts

186 → 186

Iterations

Iter	Nodes
done	2001
2	2001
1	574
0	228

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `fma-udef` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma (pow x 5) 1/60 (* (* x (* x x)) 1/3))
28.0ms	(* x (* x x))
80.0ms	(* (* x (* x x)) 1/3)

series365.0ms

Counts

3 → 9

Calls

3 calls:

224.0ms	(fma (pow x 5) 1/60 (* (* x (* x x)) 1/3))
63.0ms	(* x (* x x))
78.0ms	(* (* x (* x x)) 1/3)

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	2064
4	2064
3	1839
2	483
1	167
0	84

prune792.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.3s	3428×	body	1280	valid
1.5s	2439×	body	640	valid
839.0ms	1227×	body	320	valid
548.0ms	8196×	body	80	valid
132.0ms	640×	body	160	valid