Details

sample142.0ms

Algorithm

intervals

Results

63.0ms	107×	body	1280	valid
25.0ms	73×	body	640	valid
15.0ms	287×	body	80	valid
12.0ms	51×	body	320	valid
2.0ms	16×	body	160	valid

simplify29.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize17.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) (exp (- x)))

rewrite60.0ms

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×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

55.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify929.0ms

Counts

31 → 31

Iterations

Useful iterations: done (928.0ms)

Iter	Nodes	Cost
0	73	547
1	170	404
2	671	308
done	5000	254

prune183.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/60 (pow x 5) (* 2 x))

series230.0ms

Counts

1 → 3

Calls

1 calls:

230.0ms

(fma 1/60 (pow x 5) (* 2 x))

simplify5.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	18	140
1	29	137
2	85	121
3	353	121
4	1706	121
done	5000	121

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
4.9b	(- (exp (+ x x)) (exp (* x -2)))

rewrite430.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `times-frac`
12×	`prod-diff` `difference-of-squares`
10×	`exp-sum`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 103

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
273.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
127.0ms	(- (exp (+ x x)) (exp (* x -2)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (exp x) (exp (- x)))
126.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
71.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify2.2s

Counts

112 → 112

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	182	2456
1	456	2179
2	2058	1964
done	5001	1900

prune664.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2)))) (* (+ (exp x) (exp (- x))) (+ (exp (+ x x)) (exp (* x -2)))))
0.0b	(* (exp (* x -2)) (exp (* x -2)))
0.0b	(* (exp (+ x x)) (exp (+ x x)))
4.8b	(- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

128×	`exp-prod`
90×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
30×	`distribute-lft-out`
28×	`pow-prod-down`
24×	`distribute-rgt-out` `pow-sqr` `pow-prod-up`
18×	`pow1` `add-log-exp`
14×	`distribute-lft1-in` `distribute-rgt1-in`
13×	`add-cbrt-cube`
12×	`exp-to-pow`
10×	`count-2`
9×	`add-exp-log`
8×	`exp-sum` `associate-/r/`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`flip3-+` `flip-+`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `times-frac` `log1p-expm1-u` `associate-/l*`
3×	`prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`cbrt-undiv` `pow2` `flip3--` `pow-plus` `associate-r/` `div-exp` `associate-l/` `*-commutative` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `prod-diff` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 183

Calls

4 calls:

699.0ms	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2)))) (* (+ (exp x) (exp (- x))) (+ (exp (+ x x)) (exp (* x -2)))))
42.0ms	(* (exp (* x -2)) (exp (* x -2)))
242.0ms	(* (exp (+ x x)) (exp (+ x x)))
204.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2)))) (* (+ (exp x) (exp (- x))) (+ (exp (+ x x)) (exp (* x -2)))))
29.0ms	(* (exp (* x -2)) (exp (* x -2)))
46.0ms	(* (exp (+ x x)) (exp (+ x x)))
130.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (exp (* x -2)) (exp (* x -2))))

simplify3.9s

Counts

195 → 195

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	245	3558
1	762	2489
2	4309	2028
done	5000	2028

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	14	15
done	14	15

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.8s	3384×	body	1280	valid
1000.0ms	2532×	body	640	valid
717.0ms	8202×	body	80	valid
370.0ms	1251×	body	320	valid
86.0ms	608×	body	160	valid