Details

Time bar (total: 14.7s)

sample91.0ms

Algorithm
intervals
Results
55.0ms668×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42228
55008
618898
done50008

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.4b
(/ (* (cosh x) (/ y x)) z)

rewrite44.0ms

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:
24.0ms
(* (cosh x) (/ y x))
18.0ms
(/ (* (cosh x) (/ y x)) z)

series247.0ms

Counts
2 → 6
Calls
2 calls:
114.0ms
(* (cosh x) (/ y x))
133.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.2s

Counts
66 → 66
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0137707
1347670
21562584
done5001570

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
5.2b
(/ (* (cosh x) y) (* z x))

rewrite48.0ms

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:
17.0ms
(* (cosh x) y)
28.0ms
(/ (* (cosh x) y) (* z x))

series325.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(* (cosh x) y)
194.0ms
(/ (* (cosh x) y) (* z x))

simplify933.0ms

Counts
47 → 47
Iterations

Useful iterations: 2 (242.0ms)

IterNodesCost
0102484
1276467
21555371
done5002371

prune159.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(/ 1 (/ (* z x) (* (cosh x) y)))
5.1b
(/ (* z x) (* (cosh x) y))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
26×div-exp
23×times-frac
18×add-sqr-sqrt
17×prod-exp
16×add-cube-cbrt *-un-lft-identity
13×cbrt-undiv
9×cbrt-unprod
7×associate-/r*
6×pow1 cosh-def associate-*l/ associate-/r/ div-inv
5×rec-exp 1-exp
4×associate-/l*
3×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 101
Calls
3 calls:
16.0ms
(* (cosh x) y)
31.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
15.0ms
(/ (* z x) (* (cosh x) y))

series463.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(* (cosh x) y)
187.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
179.0ms
(/ (* z x) (* (cosh x) y))

simplify2.8s

Counts
110 → 110
Iterations

Useful iterations: 2 (386.0ms)

IterNodesCost
01841496
15101326
229241100
done50011100

prune405.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) z)
4.8b
(/ (/ (cosh x) z) (/ x y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
16×add-exp-log associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×cosh-def associate-/r/
Counts
2 → 243
Calls
2 calls:
10.0ms
(/ (cosh x) z)
27.0ms
(/ (/ (cosh x) z) (/ x y))

series274.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (cosh x) z)
205.0ms
(/ (/ (cosh x) z) (/ x y))

simplify830.0ms

Counts
249 → 249
Iterations

Useful iterations: done (821.0ms)

IterNodesCost
04744758
115514493
done50004343

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes266.0ms

Accuracy

85.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.9b

bsearch129.0ms

Steps
ItersRangePoint
5
3.947032993341162e-67
1.071644782866791e-66
1.0579617958619699e-66
9
-8.0013048459264e-86
-3.960407581577581e-95
-7.807003819640308e-86

simplify11.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02641
13537
23737
done3737

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.2s22275×body80valid