Details

Time bar (total: 22.4s)

sample87.0ms

Algorithm
intervals
Results
42.0ms689×body80valid

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42248
53778
65928
712288
834768
done50008

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
3.0ms
(cosh x)
40.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

series385.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(cosh x)
128.0ms
(* (cosh x) (/ y x))
197.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts
83 → 83
Iterations

Useful iterations: 2 (264.0ms)

IterNodesCost
0156811
1366770
21353665
done5000665

prune395.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.6b
(/ (cosh x) (/ x (/ y z)))
4.6b
(/ x (/ y z))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
17×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cosh-def frac-2neg clear-num
1×associate-/l/
Counts
3 → 281
Calls
3 calls:
3.0ms
(cosh x)
32.0ms
(/ (cosh x) (/ x (/ y z)))
9.0ms
(/ x (/ y z))

series296.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(cosh x)
195.0ms
(/ (cosh x) (/ x (/ y z)))
42.0ms
(/ x (/ y z))

simplify2.5s

Counts
290 → 290
Iterations

Useful iterations: 2 (963.0ms)

IterNodesCost
05064912
111004516
244524360
done50004360

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) (/ (/ y z) x))
4.6b
(/ (/ y z) x)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
90×add-sqr-sqrt
81×add-cube-cbrt *-un-lft-identity
43×associate-*r*
17×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
5×pow1
3×expm1-log1p-u cosh-def associate-*l* prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 151
Calls
3 calls:
3.0ms
(cosh x)
54.0ms
(* (cosh x) (/ (/ y z) x))
16.0ms
(/ (/ y z) x)

series256.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(cosh x)
161.0ms
(* (cosh x) (/ (/ y z) x))
25.0ms
(/ (/ y z) x)

simplify1.7s

Counts
160 → 160
Iterations

Useful iterations: 2 (510.0ms)

IterNodesCost
02621853
16171731
221381619
done50011619

prune611.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.3b
(* (cosh x) (/ y z))
4.7b
(* (/ 1 x) (* (cosh x) (/ y z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
23×add-sqr-sqrt
22×prod-exp
19×times-frac
18×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r*
12×cbrt-unprod
11×div-exp
10×pow1
7×cosh-def
6×cbrt-undiv frac-times associate-*r/
4×pow-prod-down associate-*l/
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
Counts
3 → 97
Calls
3 calls:
2.0ms
(cosh x)
23.0ms
(* (cosh x) (/ y z))
55.0ms
(* (/ 1 x) (* (cosh x) (/ y z)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(cosh x)
91.0ms
(* (cosh x) (/ y z))
184.0ms
(* (/ 1 x) (* (cosh x) (/ y z)))

simplify1.9s

Counts
106 → 106
Iterations

Useful iterations: 2 (306.0ms)

IterNodesCost
01971228
14791065
21642888
done5000888

prune246.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes125.0ms

Accuracy

94% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.7b

bsearch134.0ms

Steps
ItersRangePoint
11
7.160344993090787e-25
0.004783457833171893
3.298414950520774e-06
6
-4.4217459185266685e+54
-7.790898981190617e+53
-1.0259673674974557e+54

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01836
12527
done2527

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.5s22409×body80valid