Details

Time bar (total: 49.2s)

sample126.0ms

Algorithm
intervals
Results
75.0ms740×body80valid

simplify10.9s

Counts
1 → 1
Iterations
IterNodes
done5038
72881
6768
5316
4187
384
239
118
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
5.0ms
(cosh x)
27.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

series1.2s

Counts
3 → 9
Calls
3 calls:
105.0ms
(cosh x)
304.0ms
(* (cosh x) (/ y x))
792.0ms
(/ (* (cosh x) (/ y x)) z)

simplify4.6s

Counts
83 → 83
Iterations
IterNodes
done5000
21425
1386
0156

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.8b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
26×associate-*r*
23×add-sqr-sqrt
22×prod-exp
19×times-frac
18×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
10×pow1
7×cosh-def
6×cbrt-undiv frac-times associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×un-div-inv
Counts
3 → 98
Calls
3 calls:
4.0ms
(cosh x)
28.0ms
(* (cosh x) (/ y x))
195.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series1.2s

Counts
3 → 9
Calls
3 calls:
286.0ms
(cosh x)
511.0ms
(* (cosh x) (/ y x))
364.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify8.3s

Counts
107 → 107
Iterations
IterNodes
done5000
21867
1542
0199

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) (/ y z))
6.3b
(/ (* (cosh x) (/ y z)) x)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
3.0ms
(cosh x)
32.0ms
(* (cosh x) (/ y z))
31.0ms
(/ (* (cosh x) (/ y z)) x)

series965.0ms

Counts
3 → 9
Calls
3 calls:
320.0ms
(cosh x)
277.0ms
(* (cosh x) (/ y z))
357.0ms
(/ (* (cosh x) (/ y z)) x)

simplify3.8s

Counts
83 → 83
Iterations
IterNodes
done5000
21383
1391
0157

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.8b
(/ (cosh x) (/ x (/ y z)))
6.0b
(/ x (/ y z))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
17×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cosh-def frac-2neg clear-num
1×associate-/l/
Counts
3 → 281
Calls
3 calls:
3.0ms
(cosh x)
47.0ms
(/ (cosh x) (/ x (/ y z)))
40.0ms
(/ x (/ y z))

series435.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(cosh x)
279.0ms
(/ (cosh x) (/ x (/ y z)))
41.0ms
(/ x (/ y z))

simplify2.3s

Counts
290 → 290
Iterations
IterNodes
done5000
11407
0506

prune3.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes702.0ms

Accuracy

94.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch230.0ms

Steps
ItersRangePoint
5
3.2073530927625338e-40
8.486834713129936e-40
7.189025362679729e-40
9
-2.5049350295387674e-13
-1.3351814648711252e-22
-1.986686670783298e-19

simplify25.0ms

Iterations
IterNodes
done27
127
018

end1.0ms

sample5.6s

Algorithm
intervals
Results
4.2s22619×body80valid