Details

sample71.0ms

Algorithm

intervals

Results

29.0ms	95×	body	1280	valid
16.0ms	90×	body	640	valid
7.0ms	239×	body	80	valid
5.0ms	46×	body	320	valid
1.0ms	16×	body	160	valid

simplify32.0ms

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: 58.1b

localize7.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (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×	`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:

17.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify588.0ms

Counts

31 → 31

Iterations

Useful iterations: done (587.0ms)

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

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune5.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (+ (exp (+ x x)) 1) (exp (* x -2))))
0.0b	(pow (exp (- x)) 3)
0.1b	(pow (exp x) 3)
5.1b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite606.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
289×	`add-sqr-sqrt`
165×	`unpow-prod-down` `cube-prod`
144×	`prod-diff`
125×	`times-frac`
121×	`add-cube-cbrt`
112×	`difference-of-squares`
83×	`sqr-pow`
78×	`distribute-lft-out`
35×	`distribute-lft-out--`
27×	`cube-mult` `unpow3`
25×	`associate-/l*`
15×	`pow-pow`
13×	`exp-prod`
12×	`fma-neg`
8×	`add-cbrt-cube`
7×	`difference-cubes`
6×	`pow1` `add-exp-log` `pow-unpow` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cube-div` `pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `frac-2neg` `flip3-+` `exp-diff` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 431

Calls

4 calls:

471.0ms	(/ (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (+ (exp (+ x x)) 1) (exp (* x -2))))
9.0ms	(pow (exp (- x)) 3)
5.0ms	(pow (exp x) 3)
80.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series311.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (+ (exp (+ x x)) 1) (exp (* x -2))))
27.0ms	(pow (exp (- x)) 3)
27.0ms	(pow (exp x) 3)
104.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify3.7s

Counts

443 → 443

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	407	15600
1	1033	11383
2	4809	9935
done	5000	9933

prune947.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 3) (pow (exp (- x)) 3)) (* (cbrt (+ (+ (exp (+ x x)) 1) (exp (* x -2)))) (cbrt (+ (+ (exp (+ x x)) 1) (exp (* x -2))))))
0.0b	(pow (exp (- x)) 3)
0.1b	(pow (exp x) 3)
5.1b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

163×	`add-sqr-sqrt`
144×	`prod-diff`
121×	`*-un-lft-identity`
117×	`unpow-prod-down` `cube-prod`
91×	`add-cube-cbrt`
51×	`sqr-pow`
48×	`difference-of-squares`
27×	`cube-mult` `unpow3`
25×	`times-frac` `associate-/l*`
15×	`pow-pow` `distribute-lft-out--`
13×	`exp-prod`
12×	`cbrt-div` `fma-neg`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`pow1` `pow-unpow` `flip3-+` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`difference-cubes` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `cube-div` `pow-to-exp` `flip3--` `associate-r/` `div-exp` `associate-l/` `pow-exp` `flip--` `associate-/l/` `rem-cube-cbrt`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `frac-2neg` `exp-diff` `diff-log` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 335

Calls

4 calls:

406.0ms	(/ (- (pow (exp x) 3) (pow (exp (- x)) 3)) (* (cbrt (+ (+ (exp (+ x x)) 1) (exp (* x -2)))) (cbrt (+ (+ (exp (+ x x)) 1) (exp (* x -2))))))
9.0ms	(pow (exp (- x)) 3)
5.0ms	(pow (exp x) 3)
56.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series619.0ms

Counts

4 → 12

Calls

4 calls:

452.0ms	(/ (- (pow (exp x) 3) (pow (exp (- x)) 3)) (* (cbrt (+ (+ (exp (+ x x)) 1) (exp (* x -2)))) (cbrt (+ (+ (exp (+ x x)) 1) (exp (* x -2))))))
32.0ms	(pow (exp (- x)) 3)
29.0ms	(pow (exp x) 3)
107.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify602.0ms

Counts

347 → 347

Iterations

Useful iterations: done (585.0ms)

Iter	Nodes	Cost
0	385	12394
1	1015	8471
done	5000	7376

prune967.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	3351×	body	1280	valid
624.0ms	2525×	body	640	valid
521.0ms	630×	body	160	valid
380.0ms	8153×	body	80	valid
289.0ms	1236×	body	320	valid