Details

Time bar (total: 14.7s)

sample58.0ms

Algorithm
intervals
Results
31.0ms692×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07178
118178
241178
3102178
4226178
5509178
61941178
done5000178

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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/
expm1-log1p-u frac-times associate-*l/ associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
24.0ms
(* (cosh x) (/ y x))
14.0ms
(/ (* (cosh x) (/ y x)) z)

series257.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(* (cosh x) (/ y x))
156.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.5s

Counts
70 → 70
Iterations

Useful iterations: 2 (351.0ms)

IterNodesCost
014117238
135416013
2154914888
done500014888

prune404.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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*
expm1-log1p-u cosh-def associate-*l/ log1p-expm1-u 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 → 45
Calls
2 calls:
11.0ms
(* (cosh x) y)
14.0ms
(/ (* (cosh x) y) (* z x))

series249.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* (cosh x) y)
143.0ms
(/ (* (cosh x) y) (* z x))

simplify1.4s

Counts
51 → 51
Iterations

Useful iterations: 2 (339.0ms)

IterNodesCost
010612045
128611071
215559971
done50019971

prune270.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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*
expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
cosh-def associate-/r/ associate-/l/
Counts
2 → 74
Calls
2 calls:
16.0ms
(/ (cosh x) (/ (* z x) y))
8.0ms
(/ (* z x) y)

series247.0ms

Counts
2 → 6
Calls
2 calls:
212.0ms
(/ (cosh x) (/ (* z x) y))
34.0ms
(/ (* z x) y)

simplify1.5s

Counts
80 → 80
Iterations

Useful iterations: done (1.5s)

IterNodesCost
015022019
138920794
2179819962
done500019639

prune520.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
cosh-def associate-/r/
Counts
2 → 247
Calls
2 calls:
5.0ms
(/ (cosh x) z)
24.0ms
(/ (/ (cosh x) z) (/ x y))

series257.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ (cosh x) z)
173.0ms
(/ (/ (cosh x) z) (/ x y))

simplify1.4s

Counts
253 → 253
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0477127022
11562119710
done5000116719

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes375.0ms

Accuracy

93.2% (0.4b remaining)

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

bsearch90.0ms

Steps
ItersRangePoint
10
2.1057042201319657e-73
6.441305541861675e-61
5.764064057561761e-61
3
-3.8056990057746655e+20
-2.6703146002526768e+20
-3.185958880809673e+20

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
022821
129821
done29821

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.7s22534×body80valid