Details

Time bar (total: 16.5s)

sample90.0ms

Algorithm
intervals
Results
49.0ms762×body80valid

simplify1.7s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.7b
(/ (* (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:
16.0ms
(* (cosh x) (/ y x))
11.0ms
(/ (* (cosh x) (/ y x)) z)

series255.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (cosh x) (/ y x))
162.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5000
21549
1354
0141

prune426.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
5.5b
(/ (* (cosh x) y) (* z x))

rewrite34.0ms

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)
20.0ms
(/ (* (cosh x) y) (* z x))

series261.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (cosh x) y)
168.0ms
(/ (* (cosh x) y) (* z x))

simplify1.1s

Counts
51 → 51
Iterations
IterNodes
done5001
21555
1286
0106

prune252.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ (* (cosh x) y) z)
5.0b
(/ (/ (* (cosh x) y) z) x)

rewrite35.0ms

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:
9.0ms
(* (cosh x) y)
8.0ms
(/ (* (cosh x) y) z)
16.0ms
(/ (/ (* (cosh x) y) z) x)

series475.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* (cosh x) y)
153.0ms
(/ (* (cosh x) y) z)
199.0ms
(/ (/ (* (cosh x) y) z) x)

simplify1.3s

Counts
104 → 104
Iterations
IterNodes
done5000
22242
1447
0179

prune707.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 z))
5.0b
(/ (* (* (cosh x) y) (/ 1 z)) x)

rewrite58.0ms

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:
8.0ms
(* (cosh x) y)
25.0ms
(* (* (cosh x) y) (/ 1 z))
23.0ms
(/ (* (* (cosh x) y) (/ 1 z)) x)

series357.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(* (cosh x) y)
120.0ms
(* (* (cosh x) y) (/ 1 z))
143.0ms
(/ (* (* (cosh x) y) (/ 1 z)) x)

simplify3.9s

Counts
109 → 109
Iterations
IterNodes
done5001
24025
1551
0189

prune614.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes302.0ms

Accuracy

91.1% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 7.0b

bsearch137.0ms

Steps
ItersRangePoint
5
1.4252567272574802e+72
4.921918753835451e+72
1.449820321413414e+72
10
-5.741954699526134e+47
-2.4934317214771077e+36
-1.3294780528925495e+37

simplify5.0ms

Iterations
IterNodes
done22
122
016

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s22530×body80valid