Details

Time bar (total: 13.7s)

sample79.0ms

Algorithm
intervals
Results
29.0ms720×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42228
55008
618898
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.8b
(/ (* (cosh x) (/ y x)) z)

rewrite46.0ms

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:
28.0ms
(* (cosh x) (/ y x))
14.0ms
(/ (* (cosh x) (/ y x)) z)

series287.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(* (cosh x) (/ y x))
175.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0137707
1347670
21562584
done5001570

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
4.7b
(/ (* (cosh x) y) (* z x))

rewrite27.0ms

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:
9.0ms
(* (cosh x) y)
17.0ms
(/ (* (cosh x) y) (* z x))

series318.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(* (cosh x) y)
187.0ms
(/ (* (cosh x) y) (* z x))

simplify953.0ms

Counts
47 → 47
Iterations

Useful iterations: 2 (217.0ms)

IterNodesCost
0102484
1276467
21555371
done5002371

prune114.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(/ 1 (/ (* z x) (* (cosh x) y)))
4.7b
(/ (* z x) (* (cosh x) y))

rewrite69.0ms

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:
15.0ms
(* (cosh x) y)
33.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
14.0ms
(/ (* z x) (* (cosh x) y))

series553.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(* (cosh x) y)
241.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
206.0ms
(/ (* z x) (* (cosh x) y))

simplify2.9s

Counts
110 → 110
Iterations

Useful iterations: 2 (481.0ms)

IterNodesCost
01841496
15101326
229241100
done50011100

prune289.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (cosh x))
0.2b
(/ 1 (* x z))
5.4b
(* (/ 1 (* x z)) (* y (cosh x)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*r/ associate-*r*
3×cosh-def associate-/l* add-log-exp
2×pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 88
Calls
3 calls:
14.0ms
(* y (cosh x))
20.0ms
(/ 1 (* x z))
63.0ms
(* (/ 1 (* x z)) (* y (cosh x)))

series279.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(* y (cosh x))
15.0ms
(/ 1 (* x z))
170.0ms
(* (/ 1 (* x z)) (* y (cosh x)))

simplify1.5s

Counts
97 → 97
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01461019
1427923
22554717
done5000713

prune225.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

90.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.9b

bsearch77.0ms

Steps
ItersRangePoint
6
6.715684135336014e-57
2.7753031447106697e-56
1.3491155091523806e-56
4
-2.8042409042876237e-74
-1.678669504561026e-74
-2.7662537413110953e-74

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02446
13433
done3433

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.3s22481×body80valid