Details

Time bar (total: 11.7s)

sample40.0ms

Algorithm
intervals
Results
22.0ms743×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42158
53678
66118
714418
835098
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* (cosh x) (/ y x)) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* associate-/l/
2×cosh-def prod-exp cbrt-unprod
1×pow1 frac-times frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
5.0ms
(/ (* (cosh x) (/ y x)) z)

series111.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(/ (* (cosh x) (/ y x)) z)

simplify2.4s

Counts
29 → 29
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
089346
1236331
2855267
34887267
done5000267

prune70.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
22×add-cbrt-cube
20×prod-exp
13×associate-*r*
10×div-exp cbrt-unprod
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1
5×cbrt-undiv frac-times associate-*l/
4×cosh-def
3×rec-exp 1-exp associate-*r/ pow-prod-down
1×associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
20.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series111.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify901.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
0137775
1414629
21297491
done5000491

prune101.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
5.5b
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
13×times-frac
10×cbrt-undiv add-sqr-sqrt *-un-lft-identity div-exp
8×add-cube-cbrt
7×associate-/l*
6×prod-exp cbrt-unprod
4×pow1 associate-*l*
3×associate-*r* div-inv
2×associate-*l/ add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num associate-/r* *-commutative flip-+ associate-/l/ distribute-lft-out unswap-sqr
Counts
2 → 59
Calls
2 calls:
23.0ms
(* (+ (exp x) (exp (- x))) y)
11.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series144.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (+ (exp x) (exp (- x))) y)
91.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify770.0ms

Counts
65 → 65
Iterations

Useful iterations: done (768.0ms)

IterNodesCost
01531106
14171053
21631845
done5000839

prune155.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
0.2b
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
5.4b
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
89×times-frac
55×add-cbrt-cube
54×div-exp
36×add-sqr-sqrt *-un-lft-identity
34×add-cube-cbrt
27×cbrt-undiv
21×prod-exp
19×associate-/r*
12×div-inv
11×cbrt-unprod
7×rec-exp 1-exp
6×pow1 associate-/r/
4×associate-*l* associate-/l*
3×associate-*r* add-log-exp
2×frac-2neg associate-*l/ clear-num
1×pow-flip flip3-+ pow-prod-down *-commutative flip-+ distribute-lft-out inv-pow unswap-sqr
Counts
3 → 151
Calls
3 calls:
21.0ms
(* (+ (exp x) (exp (- x))) y)
19.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
10.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

series260.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* (+ (exp x) (exp (- x))) y)
95.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
111.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

simplify1.2s

Counts
160 → 160
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02793413
17402977
226122555
done50002543

prune285.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.6b

bsearch101.0ms

Steps
ItersRangePoint
8
8.345697502446661e+17
3.9062520089279663e+21
1.3604858359469685e+21
8
-5.975662484245761e-05
-1.1036397448000079e-07
-4.18445552914576e-05

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02254
13237
done3237

end0.0ms

sample1.1s

Algorithm
intervals
Results
609.0ms22251×body80valid