Details

Time bar (total: 14.5s)

sample44.0ms

Algorithm
intervals
Results
19.0ms752×body80valid

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42208
53688
65748
711868
834108
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)

rewrite30.0ms

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:
15.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series194.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (cosh x) (/ y x))
119.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
0137707
1331670
21289570
done5000570

prune143.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (cosh x) (* z (/ x y)))
6.3b
(* z (/ x y))

rewrite30.0ms

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 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×cosh-def frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
2 → 57
Calls
2 calls:
14.0ms
(/ (cosh x) (* z (/ x y)))
13.0ms
(* z (/ x y))

series158.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(/ (cosh x) (* z (/ x y)))
19.0ms
(* z (/ x y))

simplify1.9s

Counts
63 → 63
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
0128628
1309600
2975506
34223506
done5000506

prune127.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
6.0ms
(/ (cosh x) z)
17.0ms
(/ (/ (cosh x) z) (/ x y))

series203.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (cosh x) z)
142.0ms
(/ (/ (cosh x) z) (/ x y))

simplify1.7s

Counts
249 → 249
Iterations

Useful iterations: 2 (778.0ms)

IterNodesCost
04744758
112904441
246114281
done50004281

prune610.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*r* 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:
17.0ms
(* (/ y x) (cosh x))
15.0ms
(/ (* (/ y x) (cosh x)) z)

series216.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(* (/ y x) (cosh x))
118.0ms
(/ (* (/ y x) (cosh x)) z)

simplify1.0s

Counts
66 → 66
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
0135690
1334665
21167563
done5000563

prune134.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

95.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.2b

bsearch87.0ms

Steps
ItersRangePoint
7
2.8819950531494455e-55
3.633611845823087e-53
3.235450200109183e-53
10
-1077848312283.251
-7.445094056825134
-45025619.105836034

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02244
13031
done3031

end0.0ms

sample1.2s

Algorithm
intervals
Results
571.0ms22206×body80valid