Details

Time bar (total: 27.3s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify23.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
110
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×fma-def associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
26.0ms
(+ (exp x) (exp (- x)))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series117.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (exp x) (exp (- x)))
84.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify4.7s

Counts
60 → 60
Iterations
IterNodes
done5001
31951
2616
1212
096

prune644.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.6b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
0.6b
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
0.6b
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
111×add-sqr-sqrt
106×times-frac
101×*-un-lft-identity
67×sqrt-prod
65×add-cube-cbrt
32×add-exp-log
27×associate-*r* associate-*l*
20×add-cbrt-cube
15×distribute-lft-out unswap-sqr
14×associate-/r*
11×div-exp
8×pow1 sqrt-div prod-exp associate-/r/
6×cbrt-undiv associate-/l* add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv
3×rec-exp fma-def 1-exp pow-flip
2×clear-num frac-2neg
1×frac-times +-commutative sum-log sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 216
Calls
4 calls:
36.0ms
(+ (exp x) (exp (- x)))
67.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
57.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
169.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (exp x) (exp (- x)))
264.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))
155.0ms
(/ 1 (sqrt (+ (exp x) (exp (- x)))))
129.0ms
(* (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))))

simplify4.9s

Counts
228 → 228
Iterations
IterNodes
done5000
22161
1698
0267

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x))) (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))) (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x))))
0.0b
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))
0.0b
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))
0.0b
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
294×times-frac
190×add-cbrt-cube
171×add-sqr-sqrt
165×*-un-lft-identity add-cube-cbrt
159×add-exp-log
93×cbrt-undiv div-exp
57×prod-exp cbrt-unprod
44×associate-*r*
39×associate-/r*
23×pow1
19×div-inv
9×associate-/l*
6×pow-plus pow-prod-up
5×frac-times associate-*l/
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*r/ unswap-sqr
2×pow2 pow-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 356
Calls
4 calls:
232.0ms
(* (* (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x))) (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))) (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x))))
22.0ms
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))
17.0ms
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))
14.0ms
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
406.0ms
(* (* (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x))) (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))) (/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x))))
220.0ms
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))
214.0ms
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))
203.0ms
(/ 2.0 (/ (fma (exp x) (exp x) 1) (exp x)))

simplify8.0s

Counts
368 → 368
Iterations
IterNodes
done5018
24377
11006
0326

prune3.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample582.0ms

Algorithm
intervals
Results
405.0ms8000×body80valid