Details

sample100.0ms

Algorithm

intervals

Results

42.0ms	106×	body	1280	valid
26.0ms	78×	body	640	valid
9.0ms	253×	body	80	valid
7.0ms	44×	body	320	valid
2.0ms	21×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	7	262
1	14	262
2	24	193
3	30	193
4	34	193
done	34	193

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize9.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) (exp (- x)))

rewrite18.0ms

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:

17.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify824.0ms

Counts

31 → 31

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	73	13708
1	170	12318
2	671	8596
done	5001	7159

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma (pow x 5) 1/60 (* x (+ (* 1/3 (* x x)) 2)))
73.0ms	(* x (+ (* 1/3 (* x x)) 2))
21.0ms	(* 1/3 (* x x))

series207.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(fma (pow x 5) 1/60 (* x (+ (* 1/3 (* x x)) 2)))
98.0ms	(* x (+ (* 1/3 (* x x)) 2))
43.0ms	(* 1/3 (* x x))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: 2 (485.0ms)

Iter	Nodes	Cost
0	96	17138
1	296	14122
2	1911	14072
done	5000	14072

prune222.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
14×	`add-sqr-sqrt` `add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `prod-exp` `pow-prod-up`
4×	`expm1-log1p-u` `unpow-prod-down` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow2` `pow-sqr` `*-commutative` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma 2 x (fma 1/3 (* (* x x) x) (* 1/60 (pow x 5))))
9.0ms	(* 1/60 (pow x 5))
15.0ms	(* (* x x) x)
0.0ms	(fma 1/3 (* (* x x) x) (* 1/60 (pow x 5)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(fma 2 x (fma 1/3 (* (* x x) x) (* 1/60 (pow x 5))))
82.0ms	(* 1/60 (pow x 5))
50.0ms	(* (* x x) x)
167.0ms	(fma 1/3 (* (* x x) x) (* 1/60 (pow x 5)))

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	107	26351
1	250	23426
2	1157	22889
done	5000	22709

prune263.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	486
1	15	486
done	15	486

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	3436×	body	1280	valid
1.1s	2409×	body	640	valid
573.0ms	8294×	body	80	valid
248.0ms	1233×	body	320	valid
114.0ms	655×	body	160	valid