Details

Time bar (total: 13.2s)

sample76.0ms

Algorithm
intervals
Results
39.0ms692×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
61941
5509
4226
3102
241
118
07

prune6.0ms

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)

rewrite30.0ms

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
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-/r* associate-*l* associate-/l/
2×expm1-log1p-u frac-times associate-*l/ associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
11.0ms
(/ (* (cosh x) (/ y x)) z)

series297.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* (cosh x) (/ y x))
191.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts
70 → 70
Iterations
IterNodes
done5000
21549
1354
0141

prune355.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u cosh-def associate-*l/ log1p-expm1-u add-log-exp
1×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:
12.0ms
(* (cosh x) y)
25.0ms
(/ (* (cosh x) y) (* z x))

series242.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(* (cosh x) y)
159.0ms
(/ (* (cosh x) y) (* z x))

simplify1.1s

Counts
51 → 51
Iterations
IterNodes
done5001
21555
1286
0106

prune290.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u add-log-exp
1×cosh-def associate-/r/ associate-/l/
Counts
2 → 74
Calls
2 calls:
9.0ms
(/ (cosh x) (/ (* z x) y))
7.0ms
(/ (* z x) y)

series204.0ms

Counts
2 → 6
Calls
2 calls:
183.0ms
(/ (cosh x) (/ (* z x) y))
21.0ms
(/ (* z x) y)

simplify1.2s

Counts
80 → 80
Iterations
IterNodes
done5000
21798
1389
0150

prune407.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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*
9×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×cosh-def associate-/r/
Counts
2 → 247
Calls
2 calls:
5.0ms
(/ (cosh x) z)
18.0ms
(/ (/ (cosh x) z) (/ x y))

series262.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(/ (cosh x) z)
179.0ms
(/ (/ (cosh x) z) (/ x y))

simplify1.4s

Counts
253 → 253
Iterations
IterNodes
done5000
11562
0477

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes279.0ms

Accuracy

92.8% (0.5b remaining)

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

bsearch73.0ms

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

simplify4.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s22534×body80valid