Details

Time bar (total: 14.6s)

sample77.0ms

Algorithm
intervals
Results
45.0ms692×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07178
118178
241178
3102178
4222178
5500178
61941178
done5001178

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
cbrt-undiv div-exp
pow1 cosh-def prod-exp cbrt-unprod
associate-/r* associate-*l* associate-/l/
frac-times associate-*l/ associate-*r/ div-inv add-log-exp unswap-sqr
clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
20.0ms
(* (cosh x) (/ y x))
18.0ms
(/ (* (cosh x) (/ y x)) z)

series277.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(* (cosh x) (/ y x))
156.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts
66 → 66
Iterations

Useful iterations: 2 (378.0ms)

IterNodesCost
013716288
134715088
2152614088
done500014088

prune369.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
add-sqr-sqrt
prod-exp cbrt-unprod
pow1 cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
associate-*r* associate-*l*
cosh-def associate-*l/ add-log-exp
clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
2 → 41
Calls
2 calls:
12.0ms
(* (cosh x) y)
20.0ms
(/ (* (cosh x) y) (* z x))

series287.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (cosh x) y)
183.0ms
(/ (* (cosh x) y) (* z x))

simplify1.6s

Counts
47 → 47
Iterations

Useful iterations: 2 (317.0ms)

IterNodesCost
010211175
127810251
215549251
done50009251

prune263.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (cosh x) (/ (* z x) y))
6.1b
(/ (* z x) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
10×associate-/r*
cbrt-undiv div-exp
div-inv
associate-/l*
pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
cosh-def associate-/r/ associate-/l/
Counts
2 → 70
Calls
2 calls:
19.0ms
(/ (cosh x) (/ (* z x) y))
15.0ms
(/ (* z x) y)

series190.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(/ (cosh x) (/ (* z x) y))
20.0ms
(/ (* z x) y)

simplify1.6s

Counts
76 → 76
Iterations

Useful iterations: done (1.6s)

IterNodesCost
014621177
138419977
2177319355
done500018872

prune374.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) z)
6.6b
(/ (/ (cosh x) z) (/ x y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×div-inv
16×associate-/r* add-cbrt-cube add-exp-log associate-/l*
cbrt-undiv div-exp
pow1 clear-num frac-2neg add-log-exp associate-/l/
cosh-def associate-/r/
Counts
2 → 243
Calls
2 calls:
9.0ms
(/ (cosh x) z)
29.0ms
(/ (/ (cosh x) z) (/ x y))

series253.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (cosh x) z)
184.0ms
(/ (/ (cosh x) z) (/ x y))

simplify1.3s

Counts
249 → 249
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0473126152
11552118915
done5001116124

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes348.0ms

Accuracy

92.9% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.6b

bsearch92.0ms

Steps
ItersRangePoint
9
2.8647723013939156e-60
4.229949780228621e-53
3.9597804838397666e-53
3
-3.8056990057746655e+20
-2.6703146002526768e+20
-2.8031160556023182e+20

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
018601
126601
done26601

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.8s22534×body80valid