Details

Time bar (total: 21.1s)

sample87.0ms

Algorithm
intervals
Results
46.0ms729×body80valid

simplify8.4s

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: 7.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite54.0ms

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:
30.0ms
(* (cosh x) (/ y x))
20.0ms
(/ (* (cosh x) (/ y x)) z)

series293.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* (cosh x) (/ y x))
197.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts
66 → 66
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
0137707
1331670
21289570
done5000570

prune191.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) x)
0.0b
(* (cosh x) y)
6.8b
(/ (/ (* (cosh x) y) x) z)

rewrite48.0ms

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:
11.0ms
(/ (* (cosh x) y) x)
17.0ms
(* (cosh x) y)
17.0ms
(/ (/ (* (cosh x) y) x) z)

series605.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (* (cosh x) y) x)
77.0ms
(* (cosh x) y)
440.0ms
(/ (/ (* (cosh x) y) x) z)

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: 2 (345.0ms)

IterNodesCost
01731107
14071058
21418940
done5001940

prune231.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.9b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
30.0ms
(* (cosh x) (/ y x))
62.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series273.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(* (cosh x) (/ y x))
156.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify2.0s

Counts
90 → 90
Iterations

Useful iterations: 2 (371.0ms)

IterNodesCost
01801136
1463968
21598794
done5000794

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
5.6b
(/ (/ (* (cosh x) y) z) x)

rewrite43.0ms

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:
11.0ms
(/ (* (cosh x) y) z)
8.0ms
(* (cosh x) y)
21.0ms
(/ (/ (* (cosh x) y) z) x)

series331.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(/ (* (cosh x) y) z)
72.0ms
(* (cosh x) y)
163.0ms
(/ (/ (* (cosh x) y) z) x)

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: 2 (314.0ms)

IterNodesCost
01741111
14101062
21431944
done5000944

prune280.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes260.0ms

Accuracy

95.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.0b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02454
13341
done3341

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.8s22401×body80valid