Details

Time bar (total: 14.1s)

sample75.0ms

Algorithm
intervals
Results
34.0ms113×body1280valid
14.0ms75×body640valid
8.0ms274×body80valid
4.0ms39×body320valid
2.0ms24×body160valid

simplify28.0ms

Counts
1 → 1
Iterations
IterNodes
done34
434
330
224
114
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize10.0ms

Local error

Found 1 expressions with local error:

7.3b
(- (exp x) (exp (- x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
14.0ms
(- (exp x) (exp (- x)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(- (exp x) (exp (- x)))

simplify865.0ms

Counts
17 → 17
Iterations
IterNodes
done5000
31367
2333
1109
046

prune74.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ 2 (* (* x 1/3) x)))
0.0b
(* (pow x 5) 1/60)
0.1b
(* (* x 1/3) x)
0.3b
(* x 1/3)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
15×add-cbrt-cube
14×associate-*l*
13×pow1
12×*-un-lft-identity associate-*r* add-cube-cbrt
8×prod-exp
6×cbrt-unprod
5×pow-prod-down unswap-sqr
4×unpow-prod-down *-commutative add-log-exp
2×associate-*r/ sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-exp flip-+
Counts
4 → 83
Calls
4 calls:
22.0ms
(* x (+ 2 (* (* x 1/3) x)))
13.0ms
(* (pow x 5) 1/60)
15.0ms
(* (* x 1/3) x)
9.0ms
(* x 1/3)

series247.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* x (+ 2 (* (* x 1/3) x)))
77.0ms
(* (pow x 5) 1/60)
36.0ms
(* (* x 1/3) x)
16.0ms
(* x 1/3)

simplify1.4s

Counts
95 → 95
Iterations
IterNodes
done5001
22141
1360
0129

prune355.0ms

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
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
0.0b
(* (exp (- x)) (exp (- x)))
0.0b
(* (exp x) (exp x))
7.3b
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
94×exp-prod
70×*-un-lft-identity
50×add-sqr-sqrt
46×add-cube-cbrt
24×distribute-rgt-neg-in
20×distribute-lft-neg-in
19×pow-prod-down
18×pow1
17×pow-sqr pow-prod-up
16×times-frac
10×add-cbrt-cube
8×neg-mul-1
7×exp-neg
6×neg-sub0 exp-diff swap-sqr associate-*r* associate-*l* add-exp-log add-log-exp difference-of-squares
5×distribute-lft-out
4×frac-times associate-/r* associate-/l*
2×pow2 pow-plus flip3-- associate-*l/ prod-exp associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp un-div-inv flip-+ div-inv
Counts
4 → 160
Calls
4 calls:
73.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
67.0ms
(* (exp (- x)) (exp (- x)))
27.0ms
(* (exp x) (exp x))
14.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

series278.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
33.0ms
(* (exp (- x)) (exp (- x)))
24.0ms
(* (exp x) (exp x))
81.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

simplify2.6s

Counts
172 → 172
Iterations
IterNodes
done5001
24293
1609
0213

prune672.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))))
0.1b
(/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
1.0b
(/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
7.3b
(- (exp x) (exp (- x)))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
178×*-un-lft-identity
138×add-sqr-sqrt times-frac
86×sqrt-prod
76×add-cube-cbrt
41×associate-*r*
35×distribute-lft-out
34×associate-*l*
20×add-cbrt-cube add-exp-log
16×distribute-lft-out-- difference-of-squares
14×associate-/r*
9×pow1 associate-/l* unswap-sqr
8×sqrt-div associate-/r/
6×cbrt-undiv div-exp add-log-exp
5×flip3-+ flip-+
4×prod-exp cbrt-unprod div-inv associate-/l/
2×clear-num frac-2neg flip3-- flip-- pow-div
1×frac-times sub-neg sqrt-pow1 pow1/2 diff-log div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 239
Calls
4 calls:
228.0ms
(* (/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))))
43.0ms
(/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
90.0ms
(/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
15.0ms
(- (exp x) (exp (- x)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))))
231.0ms
(/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
80.0ms
(/ (+ (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x)))))
48.0ms
(- (exp x) (exp (- x)))

simplify1.3s

Counts
251 → 251
Iterations
IterNodes
done5001
1837
0284

prune989.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.1s3372×body1280valid
795.0ms2496×body640valid
361.0ms8046×body80valid
238.0ms1247×body320valid
65.0ms637×body160valid