Details

Time bar (total: 15.4s)

sample102.0ms

Algorithm
intervals
Results
48.0ms753×body80valid

simplify1.8s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.0b
(/ (* (cosh x) (/ y x)) z)

rewrite49.0ms

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:
21.0ms
(* (cosh x) (/ y x))
25.0ms
(/ (* (cosh x) (/ y x)) z)

series306.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(* (cosh x) (/ y x))
169.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts
70 → 70
Iterations
IterNodes
done5000
21549
1354
0141

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
7.0b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite72.0ms

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×*-un-lft-identity add-cube-cbrt
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×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg associate-/l* unswap-sqr
Counts
3 → 100
Calls
3 calls:
6.0ms
(* (cosh x) y)
23.0ms
(* (* (cosh x) y) (/ 1 x))
38.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series369.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(* (cosh x) y)
104.0ms
(* (* (cosh x) y) (/ 1 x))
143.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify2.5s

Counts
109 → 109
Iterations
IterNodes
done5000
23499
1546
0190

prune563.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (cosh x))
0.0b
(/ z (* y (cosh x)))
0.6b
(/ 1 (* (/ z (* y (cosh x))) x))
6.4b
(* (/ z (* y (cosh x))) x)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
11×pow1 associate-*l*
10×cbrt-undiv cbrt-unprod
9×times-frac
6×associate-*r* associate-/l*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×cosh-def pow-prod-down associate-*r/ associate-/r/ div-inv
2×clear-num associate-/r* frac-2neg associate-*l/ *-commutative pow-flip unswap-sqr
1×inv-pow
Counts
4 → 114
Calls
4 calls:
11.0ms
(* y (cosh x))
12.0ms
(/ z (* y (cosh x)))
36.0ms
(/ 1 (* (/ z (* y (cosh x))) x))
20.0ms
(* (/ z (* y (cosh x))) x)

series624.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* y (cosh x))
132.0ms
(/ z (* y (cosh x)))
189.0ms
(/ 1 (* (/ z (* y (cosh x))) x))
236.0ms
(* (/ z (* y (cosh x))) x)

simplify1.5s

Counts
126 → 126
Iterations
IterNodes
done5001
22657
1525
0193

prune600.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) x)
0.0b
(* (cosh x) y)
7.0b
(/ (/ (* (cosh x) y) x) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×cosh-def clear-num frac-2neg associate-*l/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 95
Calls
3 calls:
8.0ms
(/ (* (cosh x) y) x)
6.0ms
(* (cosh x) y)
10.0ms
(/ (/ (* (cosh x) y) x) z)

series339.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(/ (* (cosh x) y) x)
73.0ms
(* (cosh x) y)
170.0ms
(/ (/ (* (cosh x) y) x) z)

simplify1.3s

Counts
104 → 104
Iterations
IterNodes
done5000
22301
1442
0179

prune486.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes282.0ms

Accuracy

95.4% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.3b

bsearch114.0ms

Steps
ItersRangePoint
6
1.3458582109846291e-17
8.017048494364433e-17
7.039456669498942e-17
7
-2.5869196401116968e+38
-7.899729129590724e+36
-4.051020539323259e+37

simplify5.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s22302×body80valid