Details

Time bar (total: 11.8s)

sample119.0ms

Algorithm
intervals
Results
56.0ms110×body1280valid
25.0ms82×body640valid
15.0ms251×body80valid
8.0ms37×body320valid
3.0ms21×body160valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
done36
436
331
224
114
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize12.0ms

Local error

Found 1 expressions with local error:

5.5b
(- (exp x) (exp (- x)))

rewrite11.0ms

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 insert-posit16 flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 15
Calls
1 calls:
10.0ms
(- (exp x) (exp (- x)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(- (exp x) (exp (- x)))

simplify934.0ms

Counts
18 → 18
Iterations
IterNodes
done5000
31485
2353
1111
047

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/60 (pow x 5))
0.2b
(* 1/3 (* x x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-exp-log
9×add-cbrt-cube
8×associate-*r*
7×pow1
6×*-un-lft-identity associate-*l* prod-exp add-cube-cbrt
4×unpow-prod-down cbrt-unprod unswap-sqr
3×pow-prod-down
2×*-commutative insert-posit16 add-log-exp sqr-pow
1×pow-to-exp pow-exp
Counts
2 → 46
Calls
2 calls:
11.0ms
(* 1/60 (pow x 5))
16.0ms
(* 1/3 (* x x))

series119.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(* 1/60 (pow x 5))
29.0ms
(* 1/3 (* x x))

simplify628.0ms

Counts
52 → 52
Iterations
IterNodes
done5001
2803
1201
083

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp x) (exp (- x))))
5.5b
(- (exp x) (exp (- x)))
5.5b
(- (exp x) (exp (- x)))
5.5b
(- (exp x) (exp (- x)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
5×cbrt-prod add-cube-cbrt
4×pow1 flip3-- add-cbrt-cube add-exp-log insert-posit16 flip-- distribute-lft-out-- difference-of-squares
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 61
Calls
4 calls:
7.0ms
(cbrt (- (exp x) (exp (- x))))
13.0ms
(- (exp x) (exp (- x)))
16.0ms
(- (exp x) (exp (- x)))
16.0ms
(- (exp x) (exp (- x)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (- (exp x) (exp (- x))))
56.0ms
(- (exp x) (exp (- x)))
58.0ms
(- (exp x) (exp (- x)))
38.0ms
(- (exp x) (exp (- x)))

simplify2.1s

Counts
73 → 73
Iterations
IterNodes
done5001
33849
2687
1188
082

prune388.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ -1 (exp x))
5.5b
(log (exp (+ (/ -1 (exp x)) (exp x))))
5.5b
(+ (/ -1 (exp x)) (exp x))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
9×times-frac
5×add-cbrt-cube log-pow add-log-exp
4×pow1 log-prod exp-prod add-exp-log
3×associate-/r* insert-posit16 associate-/l*
2×distribute-lft-out
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp rem-log-exp exp-sum flip-+ div-inv
Counts
3 → 59
Calls
3 calls:
5.0ms
(/ -1 (exp x))
43.0ms
(log (exp (+ (/ -1 (exp x)) (exp x))))
27.0ms
(+ (/ -1 (exp x)) (exp x))

series115.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(/ -1 (exp x))
55.0ms
(log (exp (+ (/ -1 (exp x)) (exp x))))
45.0ms
(+ (/ -1 (exp x)) (exp x))

simplify1.5s

Counts
68 → 68
Iterations
IterNodes
done5001
33472
2784
1244
0111

prune253.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
013

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.7s3334×body1280valid
1.2s2534×body640valid
950.0ms8313×body80valid
288.0ms1233×body320valid
109.0ms628×body160valid