Details

Time bar (total: 21.0s)

sample106.0ms

Algorithm
intervals
Results
51.0ms741×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42228
55008
618898
done50008

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.2b
(/ (* (cosh x) (/ y x)) z)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
32.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

series385.0ms

Counts
2 → 6
Calls
2 calls:
157.0ms
(* (cosh x) (/ y x))
227.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.8s

Counts
66 → 66
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0137707
1347670
21562584
done5001570

prune492.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
8.1b
(/ (* (cosh x) y) (* z x))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
3×associate-*r* associate-*l*
2×cosh-def associate-*l/ add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 41
Calls
2 calls:
24.0ms
(* (cosh x) y)
30.0ms
(/ (* (cosh x) y) (* z x))

series356.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(* (cosh x) y)
220.0ms
(/ (* (cosh x) y) (* z x))

simplify1.3s

Counts
47 → 47
Iterations

Useful iterations: 2 (340.0ms)

IterNodesCost
0102484
1276467
21555371
done5002371

prune311.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ (* (cosh x) y) z)
7.2b
(/ (/ (* (cosh x) y) z) x)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 89
Calls
3 calls:
15.0ms
(* (cosh x) y)
26.0ms
(/ (* (cosh x) y) z)
24.0ms
(/ (/ (* (cosh x) y) z) x)

series508.0ms

Counts
3 → 9
Calls
3 calls:
144.0ms
(* (cosh x) y)
161.0ms
(/ (* (cosh x) y) z)
204.0ms
(/ (/ (* (cosh x) y) z) x)

simplify1.9s

Counts
98 → 98
Iterations

Useful iterations: 2 (560.0ms)

IterNodesCost
01741111
14361062
22266950
done5000950

prune668.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*r*
10×associate-*l* cbrt-unprod
9×cbrt-undiv
7×pow1
4×unswap-sqr
3×rec-exp 1-exp associate-*l/ associate-/r* div-inv add-log-exp
2×cosh-def pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num un-div-inv associate-/l/ associate-/l*
Counts
3 → 95
Calls
3 calls:
17.0ms
(* (cosh x) y)
28.0ms
(/ (* (cosh x) y) z)
66.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

series521.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(* (cosh x) y)
165.0ms
(/ (* (cosh x) y) z)
222.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

simplify5.2s

Counts
104 → 104
Iterations

Useful iterations: 2 (917.0ms)

IterNodesCost
01861235
15411122
23713889
done5001889

prune608.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes376.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.7b

bsearch78.0ms

Steps
ItersRangePoint
3
1368294241.5238848
1832337247.2133412
1397296929.3794756
4
-1.9285084009361697e+50
-1.317008346704399e+50
-1.3352148123811325e+50

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01532
12025
done2025

end0.0ms

sample3.7s

Algorithm
intervals
Results
2.1s22508×body80valid