Details

Time bar (total: 10.4s)

sample41.0ms

Algorithm
intervals
Results
21.0ms765×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42218
54058
67278
720708
847758
done50018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.7b
(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

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:
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series182.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ y x))
109.0ms
(/ (* (cosh x) (/ y x)) z)

simplify501.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
0141739
1360701
21512600
done5000600

prune160.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (cosh x) (* z (/ x y)))
5.2b
(* z (/ x y))

rewrite16.0ms

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×expm1-log1p-u associate-*r/ log1p-expm1-u 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 → 61
Calls
2 calls:
5.0ms
(/ (cosh x) (* z (/ x y)))
9.0ms
(* z (/ x y))

series151.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(/ (cosh x) (* z (/ x y)))
17.0ms
(* z (/ x y))

simplify495.0ms

Counts
67 → 67
Iterations

Useful iterations: done (493.0ms)

IterNodesCost
0132658
1333629
21432535
done5000533

prune140.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.8b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite27.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 88
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
16.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series180.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (cosh x) (/ y x))
105.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify1.1s

Counts
94 → 94
Iterations

Useful iterations: 2 (185.0ms)

IterNodesCost
01841172
15301017
22251824
done5001824

prune170.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
5.7b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 100
Calls
3 calls:
3.0ms
(* (cosh x) y)
11.0ms
(* (* (cosh x) y) (/ 1 x))
10.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series242.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (cosh x) y)
70.0ms
(* (* (cosh x) y) (/ 1 x))
108.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify1.4s

Counts
109 → 109
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
01901264
15431062
22509835
done5000835

prune186.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

92.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.2b

bsearch88.0ms

Steps
ItersRangePoint
8
7.317664071692602e+35
3.119854292649119e+40
1.0700912275797494e+36
8
-9.35262946847106e-57
-6.716735875268097e-60
-5.907375773318025e-57

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01938
12829
done2829

end0.0ms

sample1.1s

Algorithm
intervals
Results
636.0ms22378×body80valid