Details

Time bar (total: 7.7s)

sample64.0ms

Algorithm
intervals
Results
28.0ms104×body1280valid
13.0ms84×body640valid
6.0ms242×body80valid
3.0ms38×body320valid
1.0ms21×body160valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1148
2248
3308
4348
done348

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b
(- (exp x) (exp (- x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
prod-diff
add-cube-cbrt
fma-neg add-log-exp
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)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (exp x) (exp (- x)))

simplify1.7s

Counts
31 → 31
Iterations

Useful iterations: done (1.7s)

IterNodesCost
073547
1158401
2370308
31377253
done5000244

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)

IterNodesCost
000
done00

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)))
6.9b
(- (exp (+ x x)) (exp (* x -2)))

rewrite215.0ms

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
distribute-lft-out
add-log-exp
associate-/l* distribute-lft-out--
add-exp-log add-cbrt-cube
fma-neg associate-/r*
pow1 expm1-log1p-u fma-def log1p-expm1-u
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
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:
137.0ms
(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
13.0ms
(+ (exp x) (exp (- x)))
62.0ms
(- (exp (+ x x)) (exp (* x -2)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
23.0ms
(+ (exp x) (exp (- x)))
43.0ms
(- (exp (+ x x)) (exp (* x -2)))

simplify3.2s

Counts
112 → 112
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01822456
14302177
211831962
349111844
done50001844

prune255.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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)

IterNodesCost
01315
11415
done1415

end0.0ms

sample1.9s

Algorithm
intervals
Results
925.0ms3393×body1280valid
397.0ms2461×body640valid
179.0ms8050×body80valid
118.0ms1220×body320valid
38.0ms649×body160valid