Details

Time bar (total: 16.8s)

sample56.0ms

Algorithm
intervals
Results
27.0ms720×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42268
55088
618988
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.8b
(/ (* (cosh x) (/ y x)) z)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
21.0ms
(* (cosh x) (/ y x))
18.0ms
(/ (* (cosh x) (/ y x)) z)

series290.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(* (cosh x) (/ y x))
162.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts
70 → 70
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0141739
1354701
21584606
done5000600

prune223.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
4.7b
(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
10×prod-exp cbrt-unprod
6×cbrt-undiv add-sqr-sqrt *-un-lft-identity div-exp
4×pow1 add-cube-cbrt associate-*l* associate-*l/
3×associate-*r*
2×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 52
Calls
2 calls:
68.0ms
(* (+ (exp x) (exp (- x))) y)
34.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (+ (exp x) (exp (- x))) y)
104.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify1.7s

Counts
58 → 58
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0132987
1421941
22757725
done5002722

prune268.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
0.3b
(/ 1 (/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y)))
4.6b
(/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
55×add-cbrt-cube
38×div-exp
37×prod-exp
26×times-frac
19×cbrt-undiv add-sqr-sqrt *-un-lft-identity cbrt-unprod
17×add-cube-cbrt
12×associate-*l/
11×associate-/r/
8×associate-/r*
7×rec-exp 1-exp
6×pow1 flip3-+ flip-+ div-inv
4×associate-*l* associate-/l*
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative distribute-lft-out inv-pow unswap-sqr
Counts
3 → 126
Calls
3 calls:
54.0ms
(* (+ (exp x) (exp (- x))) y)
56.0ms
(/ 1 (/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y)))
51.0ms
(/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y))

series416.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* (+ (exp x) (exp (- x))) y)
186.0ms
(/ 1 (/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y)))
166.0ms
(/ (* z (* 2 x)) (* (+ (exp x) (exp (- x))) y))

simplify2.7s

Counts
135 → 135
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02252900
16982633
244422138
done50012131

prune368.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp x) (exp (- x))))
0.4b
(* (sqrt (+ (exp x) (exp (- x)))) y)
0.5b
(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) y))
4.7b
(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) y)) (* z (* 2 x)))

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log add-cbrt-cube
28×sqrt-div
22×prod-exp cbrt-unprod
18×associate-*l/
17×add-sqr-sqrt
16×*-un-lft-identity
14×flip3-+ associate-*l* flip-+
13×sqrt-prod
12×pow1
10×add-cube-cbrt
9×cbrt-undiv div-exp
8×frac-times associate-/l/
4×expm1-log1p-u associate-*r/ associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×distribute-lft-out
2×*-commutative unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 times-frac pow1/2 clear-num associate-/r* hypot-def div-inv associate-/l*
Counts
4 → 119
Calls
4 calls:
40.0ms
(sqrt (+ (exp x) (exp (- x))))
83.0ms
(* (sqrt (+ (exp x) (exp (- x)))) y)
158.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) y))
97.0ms
(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) y)) (* z (* 2 x)))

series468.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (+ (exp x) (exp (- x))))
158.0ms
(* (sqrt (+ (exp x) (exp (- x)))) y)
90.0ms
(* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) y))
152.0ms
(/ (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) y)) (* z (* 2 x)))

simplify2.5s

Counts
131 → 131
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02093054
16312717
241411840
done50011818

prune553.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes234.0ms

Accuracy

91.4% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.7b

bsearch172.0ms

Steps
ItersRangePoint
8
1.8215247699130924e+22
4.8121441935713286e+26
1.8485054819100778e+22
10
-7.698534904552594e+101
-9.31787164282723e+90
-9.750320107203264e+90

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02450
13137
23237
done3237

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.0s22481×body80valid