Details

Time bar (total: 14.4s)

sample50.0ms

Algorithm
intervals
Results
23.0ms752×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42248
53778
65928
712288
834768
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
15.0ms
(/ (* (cosh x) (/ y x)) z)

series198.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (cosh x) (/ y x))
117.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts
70 → 70
Iterations

Useful iterations: 2 (372.0ms)

IterNodesCost
0141739
1338701
21303600
done5000600

prune169.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (cosh x) (/ x (/ y z)))
6.1b
(/ x (/ y z))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×cosh-def associate-/l/
Counts
2 → 271
Calls
2 calls:
20.0ms
(/ (cosh x) (/ x (/ y z)))
9.0ms
(/ x (/ y z))

series141.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(/ (cosh x) (/ x (/ y z)))
23.0ms
(/ x (/ y z))

simplify1.5s

Counts
277 → 277
Iterations

Useful iterations: 2 (602.0ms)

IterNodesCost
04914840
110724447
243954295
done50014295

prune764.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (/ y z) x))
6.2b
(/ (/ y z) x)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u cosh-def log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 141
Calls
2 calls:
33.0ms
(* (cosh x) (/ (/ y z) x))
12.0ms
(/ (/ y z) x)

series140.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(* (cosh x) (/ (/ y z) x))
21.0ms
(/ (/ y z) x)

simplify1.2s

Counts
147 → 147
Iterations

Useful iterations: 2 (325.0ms)

IterNodesCost
02471781
15891662
220811554
done50001554

prune367.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cosh x))
0.0b
(* (sqrt (cosh x)) (/ y z))
0.0b
(/ (sqrt (cosh x)) x)
6.2b
(* (/ (sqrt (cosh x)) x) (* (sqrt (cosh x)) (/ y z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
47×times-frac
42×add-cube-cbrt *-un-lft-identity
32×add-exp-log add-cbrt-cube
29×sqrt-prod
28×associate-*l*
14×associate-*r*
12×pow1 prod-exp cbrt-unprod
8×cosh-def sqrt-div
7×cbrt-undiv div-exp
6×frac-times associate-*r/ associate-/l*
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r* div-inv
2×*-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 153
Calls
4 calls:
2.0ms
(sqrt (cosh x))
21.0ms
(* (sqrt (cosh x)) (/ y z))
7.0ms
(/ (sqrt (cosh x)) x)
50.0ms
(* (/ (sqrt (cosh x)) x) (* (sqrt (cosh x)) (/ y z)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (cosh x))
122.0ms
(* (sqrt (cosh x)) (/ y z))
103.0ms
(/ (sqrt (cosh x)) x)
121.0ms
(* (/ (sqrt (cosh x)) x) (* (sqrt (cosh x)) (/ y z)))

simplify1.3s

Counts
165 → 165
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02402082
15761750
219491574
done50001572

prune389.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

91.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.4b

bsearch80.0ms

Steps
ItersRangePoint
8
8.258802175984639e-75
6.646688672351325e-72
6.561790096885941e-72
7
-431286638815461.44
-1956133285039.0164
-29659565816422.92

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01834
12727
done2727

end0.0ms

sample1.3s

Algorithm
intervals
Results
598.0ms22206×body80valid