Details

Time bar (total: 3.4s)

sample38.0ms

Algorithm
intervals
Results
17.0ms683×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024
done50024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
17.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series192.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(* (cosh x) (/ y x))
114.0ms
(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0352391
11472333
25001333
done5001333

prune147.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
6.1b
(/ y (* x z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u cosh-def log1p-expm1-u div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 54
Calls
2 calls:
22.0ms
(* (cosh x) (/ y (* x z)))
8.0ms
(/ y (* x z))

series141.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(* (cosh x) (/ y (* x z)))
25.0ms
(/ y (* x z))

simplify36.0ms

Counts
60 → 60
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0266305
11075254
25001252
done5001252

prune117.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.3b
(/ 1 (* x z))
6.3b
(* y (/ 1 (* x z)))

rewrite108.0ms

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
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
3×expm1-log1p-u cosh-def un-div-inv log1p-expm1-u associate-/l* add-log-exp
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 97
Calls
3 calls:
64.0ms
(* (cosh x) (* y (/ 1 (* x z))))
11.0ms
(/ 1 (* x z))
30.0ms
(* y (/ 1 (* x z)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(* (cosh x) (* y (/ 1 (* x z))))
12.0ms
(/ 1 (* x z))
22.0ms
(* y (/ 1 (* x z)))

simplify52.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0376508
11658405
25001395
done5001395

prune163.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (* (/ 1 x) (/ 1 z))))
0.3b
(* (/ 1 x) (/ 1 z))
6.3b
(* y (* (/ 1 x) (/ 1 z)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
178×add-exp-log
100×prod-exp
58×add-cbrt-cube
48×div-exp
43×add-sqr-sqrt
30×times-frac
28×cbrt-unprod
25×*-un-lft-identity
24×rec-exp 1-exp
21×pow1
20×associate-*r/
19×add-cube-cbrt associate-*l*
15×associate-*r*
12×cbrt-undiv pow-prod-down
9×unswap-sqr
8×frac-times
5×cosh-def associate-*l/
4×un-div-inv
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-flip div-inv inv-pow
Counts
3 → 164
Calls
3 calls:
108.0ms
(* (cosh x) (* y (* (/ 1 x) (/ 1 z))))
26.0ms
(* (/ 1 x) (/ 1 z))
38.0ms
(* y (* (/ 1 x) (/ 1 z)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(* (cosh x) (* y (* (/ 1 x) (/ 1 z))))
12.0ms
(* (/ 1 x) (/ 1 z))
22.0ms
(* y (* (/ 1 x) (/ 1 z)))

simplify71.0ms

Counts
173 → 173
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07271028
12872799
25001745
done5001745

prune233.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

97.1% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03124
13124
done3124

end0.0ms

sample1.2s

Algorithm
intervals
Results
579.0ms22927×body80valid