Details

Time bar (total: 2.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify221.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015
done50015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
12.0ms
(+ (exp x) (exp (- x)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
24.0ms
(+ (exp x) (exp (- x)))

simplify125.0ms

Counts
58 → 58
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
0200433
1666397
23139394
35001393
done5001393

prune125.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt times-frac
10×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube add-log-exp
6×fma-def associate-/l*
4×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
2×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 104
Calls
4 calls:
22.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
13.0ms
(+ (exp x) (exp (- x)))
15.0ms
(+ (exp x) (exp (- x)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
45.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
23.0ms
(+ (exp x) (exp (- x)))
24.0ms
(+ (exp x) (exp (- x)))

simplify124.0ms

Counts
116 → 116
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0200866
1666794
23139788
35001786
done5001786

prune334.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
104×sqrt-prod
98×*-un-lft-identity
84×times-frac
66×add-sqr-sqrt add-cube-cbrt
16×distribute-lft-out
14×associate-/r*
12×associate-/l*
8×add-exp-log add-cbrt-cube add-log-exp
6×fma-def
4×pow1 expm1-log1p-u flip3-+ sqrt-div associate-/r/ flip-+ log1p-expm1-u
2×cbrt-undiv +-commutative sqrt-undiv frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 178
Calls
4 calls:
24.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
26.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
12.0ms
(+ (exp x) (exp (- x)))
12.0ms
(+ (exp x) (exp (- x)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
110.0ms
(/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))
29.0ms
(+ (exp x) (exp (- x)))
23.0ms
(+ (exp x) (exp (- x)))

simplify44.0ms

Counts
190 → 190
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02952220
19902076
250011992
done50011992

prune413.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11013
done1013

end0.0ms

sample512.0ms

Algorithm
intervals
Results
390.0ms8000×body80valid