Details

sample65.0ms

Algorithm

intervals

Results

29.0ms	109×	body	1280	valid
12.0ms	79×	body	640	valid
8.0ms	233×	body	80	valid
4.0ms	41×	body	320	valid
1.0ms	18×	body	160	valid

simplify17.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize6.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) (exp (- x)))

rewrite17.0ms

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:

16.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.7s

Counts

31 → 31

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	73	547
1	158	401
2	370	308
3	1377	253
done	5000	244

prune60.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (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:

0.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify635.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	26	218
1	50	212
2	148	186
3	837	186
done	5001	186

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))
5.4b	(- (exp (+ x x)) (exp (* x -2)))

rewrite211.0ms

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:

135.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
13.0ms	(+ (exp x) (exp (- x)))
60.0ms	(- (exp (+ x x)) (exp (* x -2)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
26.0ms	(+ (exp x) (exp (- x)))
40.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify3.2s

Counts

112 → 112

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	182	2456
1	430	2177
2	1183	1962
3	4911	1844
done	5000	1844

prune256.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (/ (+ (exp (* x -3)) (exp (* 3 x))) (+ (pow (exp x) 2) (expm1 (* x -2)))))
0.0b	(exp (* 3 x))
0.0b	(+ (exp (* x -3)) (exp (* 3 x)))
5.4b	(- (exp (+ x x)) (exp (* x -2)))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

261×	`*-un-lft-identity`
244×	`times-frac`
171×	`add-sqr-sqrt`
99×	`add-cube-cbrt`
57×	`distribute-lft-out`
48×	`difference-of-squares`
28×	`exp-sum`
24×	`distribute-lft-out--`
22×	`associate-/r*`
15×	`associate-/r/`
12×	`prod-diff`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3-+` `flip-+` `div-inv`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`flip3--` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `exp-prod` `exp-to-pow` `frac-2neg` `diff-log` `div-sub` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 242

Calls

4 calls:

161.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (/ (+ (exp (* x -3)) (exp (* 3 x))) (+ (pow (exp x) 2) (expm1 (* x -2)))))
4.0ms	(exp (* 3 x))
12.0ms	(+ (exp (* x -3)) (exp (* 3 x)))
60.0ms	(- (exp (+ x x)) (exp (* x -2)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (/ (+ (exp (* x -3)) (exp (* 3 x))) (+ (pow (exp x) 2) (expm1 (* x -2)))))
6.0ms	(exp (* 3 x))
30.0ms	(+ (exp (* x -3)) (exp (* 3 x)))
40.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.3s

Counts

254 → 254

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	371	10533
1	988	9903
2	3420	9408
done	5001	9273

prune764.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

925.0ms	3414×	body	1280	valid
389.0ms	2454×	body	640	valid
180.0ms	7969×	body	80	valid
117.0ms	1234×	body	320	valid
37.0ms	634×	body	160	valid