Details

Time bar (total: 21.1s)

sample70.0ms

Algorithm
intervals
Results
35.0ms657×body80valid

simplify8.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42208
53688
65748
711868
834108
done50008

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.5b
(/ (* (cosh x) (/ y x)) z)

rewrite80.0ms

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
3.0ms
(cosh x)
43.0ms
(* (cosh x) (/ y x))
28.0ms
(/ (* (cosh x) (/ y x)) z)

series413.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(cosh x)
108.0ms
(* (cosh x) (/ y x))
222.0ms
(/ (* (cosh x) (/ y x)) z)

simplify2.1s

Counts
77 → 77
Iterations

Useful iterations: 2 (299.0ms)

IterNodesCost
0150773
1355735
21349631
done5001631

prune287.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
6.1b
(/ (* (cosh x) y) (* z x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*r* associate-*l* add-log-exp
2×associate-*l/
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(cosh x)
8.0ms
(* (cosh x) y)
24.0ms
(/ (* (cosh x) y) (* z x))

series356.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(cosh x)
84.0ms
(* (cosh x) y)
193.0ms
(/ (* (cosh x) y) (* z x))

simplify881.0ms

Counts
58 → 58
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
0113550
1282532
21251432
done5000432

prune211.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.5b
(/ (cosh x) (/ (* z x) y))
6.0b
(/ (* z x) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
3×pow1 add-log-exp
2×cosh-def frac-2neg prod-exp clear-num cbrt-unprod
1×associate-/r/ associate-/l/
Counts
3 → 78
Calls
3 calls:
1.0ms
(cosh x)
12.0ms
(/ (cosh x) (/ (* z x) y))
10.0ms
(/ (* z x) y)

series286.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(cosh x)
209.0ms
(/ (cosh x) (/ (* z x) y))
24.0ms
(/ (* z x) y)

simplify1.4s

Counts
87 → 87
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0159999
1361960
21297860
done5000854

prune299.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(/ (cosh x) z)
6.7b
(/ (/ (cosh x) z) (/ x y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
207×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
17×add-exp-log add-cbrt-cube
16×associate-/r* associate-/l*
9×cbrt-undiv div-exp
3×pow1 add-log-exp
2×cosh-def frac-2neg clear-num associate-/l/
1×associate-/r/
Counts
3 → 251
Calls
3 calls:
2.0ms
(cosh x)
7.0ms
(/ (cosh x) z)
19.0ms
(/ (/ (cosh x) z) (/ x y))

series331.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(cosh x)
100.0ms
(/ (cosh x) z)
183.0ms
(/ (/ (cosh x) z) (/ x y))

simplify2.1s

Counts
260 → 260
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
04834824
113024506
246474342
done50014342

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes112.0ms

Accuracy

96.3% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.1b

bsearch104.0ms

Steps
ItersRangePoint
8
65877241274.64672
49066323077475.03
521563463103.419
7
-4.732417159167405e-11
-1.2228212849393245e-12
-1.7498766746366753e-11

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02538
13038
done3038

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.6s22226×body80valid