Details

Time bar (total: 9.9s)

sample38.0ms

Algorithm
intervals
Results
20.0ms765×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42178
53858
66858
719398
846008
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.7b
(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

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×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series187.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ y x))
111.0ms
(/ (* (cosh x) (/ y x)) z)

simplify504.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
0137707
1353670
21496570
done5000570

prune142.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (cosh x) (* z (/ x y)))
5.2b
(* z (/ x y))

rewrite14.0ms

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 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
2 → 57
Calls
2 calls:
5.0ms
(/ (cosh x) (* z (/ x y)))
7.0ms
(* z (/ x y))

series155.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(/ (cosh x) (* z (/ x y)))
18.0ms
(* z (/ x y))

simplify497.0ms

Counts
63 → 63
Iterations

Useful iterations: done (495.0ms)

IterNodesCost
0128628
1326600
21411506
done5000504

prune133.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.8b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
17.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series185.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ y x))
111.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify1.1s

Counts
90 → 90
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
01801136
1523986
22253794
done5000794

prune162.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
5.7b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×associate-/r* add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
3.0ms
(* (cosh x) y)
11.0ms
(* (* (cosh x) y) (/ 1 x))
13.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series248.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* (cosh x) y)
74.0ms
(* (* (cosh x) y) (/ 1 x))
109.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify1.2s

Counts
103 → 103
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
01841214
15331022
22508796
done5000796

prune166.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

92.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.2b

bsearch86.0ms

Steps
ItersRangePoint
8
7.317664071692602e+35
3.119854292649119e+40
1.0700912275797494e+36
8
-9.35262946847106e-57
-6.716735875268097e-60
-5.907375773318025e-57

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01938
12829
done2829

end0.0ms

sample1.0s

Algorithm
intervals
Results
592.0ms22378×body80valid