Details

Time bar (total: 13.6s)

sample72.0ms

Algorithm
intervals
Results
38.0ms695×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5001
61941
5500
4222
3102
241
118
07

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
5.9b
(/ (* (cosh x) (/ y x)) z)

rewrite32.0ms

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×associate-/r* associate-*l* 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 → 68
Calls
3 calls:
2.0ms
(cosh x)
17.0ms
(* (cosh x) (/ y x))
11.0ms
(/ (* (cosh x) (/ y x)) z)

series312.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(cosh x)
112.0ms
(* (cosh x) (/ y x))
150.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.1s

Counts
77 → 77
Iterations
IterNodes
done5001
21841
1379
0150

prune400.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* y (cosh x))
0.3b
(* (* y (cosh x)) (/ 1 x))
5.9b
(/ (* (* y (cosh x)) (/ 1 x)) z)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
36×add-cbrt-cube
25×prod-exp
17×add-sqr-sqrt div-exp
16×associate-*r*
15×*-un-lft-identity add-cube-cbrt
13×cbrt-unprod
12×times-frac
11×pow1
9×cbrt-undiv
7×associate-*r/
6×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down add-log-exp associate-/l/
3×associate-/r*
2×frac-times associate-*l/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg associate-/l* unswap-sqr
Counts
4 → 102
Calls
4 calls:
1.0ms
(cosh x)
8.0ms
(* y (cosh x))
42.0ms
(* (* y (cosh x)) (/ 1 x))
26.0ms
(/ (* (* y (cosh x)) (/ 1 x)) z)

series471.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(cosh x)
90.0ms
(* y (cosh x))
142.0ms
(* (* y (cosh x)) (/ 1 x))
172.0ms
(/ (* (* y (cosh x)) (/ 1 x)) z)

simplify2.4s

Counts
114 → 114
Iterations
IterNodes
done5002
23723
1567
0192

prune490.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y (* x 1/2)) (/ y x))
5.4b
(/ (+ (* y (* x 1/2)) (/ y x)) z)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×div-inv
5×distribute-lft-out
4×add-cbrt-cube add-exp-log associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-+ flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp
Counts
2 → 45
Calls
2 calls:
19.0ms
(+ (* y (* x 1/2)) (/ y x))
63.0ms
(/ (+ (* y (* x 1/2)) (/ y x)) z)

series124.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* y (* x 1/2)) (/ y x))
68.0ms
(/ (+ (* y (* x 1/2)) (/ y x)) z)

simplify835.0ms

Counts
51 → 51
Iterations
IterNodes
done5001
2825
1216
089

prune263.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* 1/2 x) y) (/ y x))
0.4b
(/ 1 (/ z (+ (* (* 1/2 x) y) (/ y x))))
5.5b
(/ z (+ (* (* 1/2 x) y) (/ y x)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp clear-num frac-2neg 1-exp
1×+-commutative sum-log pow-flip inv-pow
Counts
3 → 124
Calls
3 calls:
27.0ms
(+ (* (* 1/2 x) y) (/ y x))
38.0ms
(/ 1 (/ z (+ (* (* 1/2 x) y) (/ y x))))
42.0ms
(/ z (+ (* (* 1/2 x) y) (/ y x)))

series260.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ (* (* 1/2 x) y) (/ y x))
107.0ms
(/ 1 (/ z (+ (* (* 1/2 x) y) (/ y x))))
81.0ms
(/ z (+ (* (* 1/2 x) y) (/ y x)))

simplify1.5s

Counts
133 → 133
Iterations
IterNodes
done5001
22584
1529
0203

prune416.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

regimes228.0ms

Accuracy

91.6% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 7.9b

bsearch96.0ms

Steps
ItersRangePoint
7
9.915899708818003e+27
1.80144231504105e+29
1.0075888755760662e+28
7
-1.5609065192760091e+84
-5.857527842082222e+82
-5.912986458297726e+82

simplify3.0ms

Iterations
IterNodes
done27
127
018

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.8s22376×body80valid