Details

Time bar (total: 15.9s)

sample108.0ms

Algorithm
intervals
Results
79.0ms729×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
72849
6771
5316
4187
384
239
118
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.8b
(/ (* (cosh x) (/ y x)) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
13×*-un-lft-identity times-frac associate-*r* add-cube-cbrt
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp associate-/l/
2×frac-times associate-*l/ associate-*r/ div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
3 → 77
Calls
3 calls:
1.0ms
(cosh x)
10.0ms
(* (cosh x) (/ y x))
22.0ms
(/ (* (cosh x) (/ y x)) z)

series349.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(cosh x)
119.0ms
(* (cosh x) (/ y x))
168.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done5000
21392
1389
0159

prune466.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube add-exp-log
7×add-sqr-sqrt
5×pow1 *-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
4×cbrt-undiv div-exp
3×expm1-log1p-u cosh-def associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
3 → 58
Calls
3 calls:
3.0ms
(cosh x)
14.0ms
(* (cosh x) y)
31.0ms
(/ (* (cosh x) y) (* z x))

series326.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(cosh x)
97.0ms
(* (cosh x) y)
175.0ms
(/ (* (cosh x) y) (* z x))

simplify1.1s

Counts
67 → 67
Iterations
IterNodes
done5011
21376
1315
0122

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(cosh x)
0.2b
(/ 1 (* z x))
7.3b
(* (* (cosh x) y) (/ 1 (* z x)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
62×add-exp-log
32×add-cbrt-cube
31×prod-exp
14×pow1
13×cbrt-unprod
12×add-sqr-sqrt div-exp
10×*-un-lft-identity associate-*r* add-cube-cbrt
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×expm1-log1p-u cosh-def associate-*l* associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×*-commutative div-inv pow-flip
1×frac-times clear-num associate-/r* frac-2neg associate-*r/ un-div-inv inv-pow unswap-sqr
Counts
4 → 109
Calls
4 calls:
14.0ms
(* (cosh x) y)
3.0ms
(cosh x)
16.0ms
(/ 1 (* z x))
42.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cosh x) y)
59.0ms
(cosh x)
11.0ms
(/ 1 (* z x))
152.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

simplify2.0s

Counts
121 → 121
Iterations
IterNodes
done5001
21547
1437
0173

prune436.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
0.3b
(* (/ 1 z) (/ 1 x))
7.3b
(* (* (cosh x) y) (* (/ 1 z) (/ 1 x)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
179×add-exp-log
100×prod-exp
59×add-cbrt-cube
48×div-exp
46×add-sqr-sqrt
30×times-frac
28×cbrt-unprod
26×*-un-lft-identity
24×rec-exp 1-exp
22×pow1
20×add-cube-cbrt
17×associate-*r* associate-*l*
12×cbrt-undiv pow-prod-down
10×associate-*l/ unswap-sqr
7×frac-times cosh-def associate-*r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×un-div-inv *-commutative
2×div-inv pow-flip inv-pow
Counts
4 → 176
Calls
4 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) y)
21.0ms
(* (/ 1 z) (/ 1 x))
49.0ms
(* (* (cosh x) y) (* (/ 1 z) (/ 1 x)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(cosh x)
124.0ms
(* (cosh x) y)
19.0ms
(* (/ 1 z) (/ 1 x))
157.0ms
(* (* (cosh x) y) (* (/ 1 z) (/ 1 x)))

simplify1.9s

Counts
188 → 188
Iterations
IterNodes
done5002
22352
1749
0271

prune533.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes303.0ms

Accuracy

96.7% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 6.8b

bsearch146.0ms

Steps
ItersRangePoint
8
432164109186.9283
330495461706337.44
2922533292505.41
7
-7.995454031767264e-16
-1.3926225086429213e-17
-1.0432260555262782e-16

simplify5.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.4s22341×body80valid