Details

Time bar (total: 8.2s)

sample36.0ms

Algorithm
intervals
Results
19.0ms743×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42178
53708
66208
714788
834888
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)

series121.0ms

Counts
1 → 3
Calls
1 calls:
121.0ms
(/ (* (cosh x) (/ y x)) z)

simplify618.0ms

Counts
29 → 29
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
089346
1236331
2857267
done5001267

prune71.0ms

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))

rewrite20.0ms

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:
17.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series116.0ms

Counts
1 → 3
Calls
1 calls:
116.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify622.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
0137775
1414629
21351491
done5001491

prune99.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite38.0ms

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:
24.0ms
(* (+ (exp x) (exp (- x))) y)
12.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series146.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (+ (exp x) (exp (- x))) y)
93.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify621.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
01531106
14171053
21726839
done5000839

prune158.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite61.0ms

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)
21.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
11.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

series262.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* (+ (exp x) (exp (- x))) y)
92.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
112.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

simplify1.0s

Counts
160 → 160
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
02793413
17402977
230132543
done50012543

prune278.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

95.9% (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

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02254
13237
done3237

end0.0ms

sample1.3s

Algorithm
intervals
Results
813.0ms22251×body80valid