Details

Time bar (total: 2.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify220.0ms

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

rewrite39.0ms

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:
12.0ms
(+ (exp x) (exp (- x)))
25.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series66.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (exp x) (exp (- x)))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify122.0ms

Counts
58 → 58
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0200433
1666397
23139394
35001393
done5001393

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp x))
0.0b
(cbrt (exp x))
0.0b
(cbrt (exp x))
0.0b
(* (cbrt (exp x)) (cbrt (exp x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
2.0ms
(cbrt (exp x))
2.0ms
(cbrt (exp x))
2.0ms
(cbrt (exp x))
15.0ms
(* (cbrt (exp x)) (cbrt (exp x)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(cbrt (exp x))
81.0ms
(cbrt (exp x))
80.0ms
(cbrt (exp x))
93.0ms
(* (cbrt (exp x)) (cbrt (exp x)))

simplify60.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0120459
1391422
21827389
35001361
done5001361

prune223.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.5b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
224×sqrt-prod
190×add-sqr-sqrt add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
8×add-log-exp
6×fma-def
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×+-commutative frac-2neg clear-num sum-log
1×associate-/l/
Counts
4 → 323
Calls
4 calls:
12.0ms
(+ (exp x) (exp (- x)))
12.0ms
(+ (exp x) (exp (- x)))
63.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
26.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (exp x) (exp (- x)))
23.0ms
(+ (exp x) (exp (- x)))
39.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
90.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify83.0ms

Counts
335 → 335
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
07526286
127425617
250015509
done50015509

prune516.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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
085
185
done85

end0.0ms

sample279.0ms

Algorithm
intervals
Results
166.0ms8000×body80valid