Details

Time bar (total: 12.1s)

sample41.0ms

Algorithm
intervals
Results
22.0ms764×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42198
53758
66268
714778
836208
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.4b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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)

series218.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (cosh x) (/ y x))
131.0ms
(/ (* (cosh x) (/ y x)) z)

simplify809.0ms

Counts
70 → 70
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
0141739
1352701
21326600
done5000600

prune177.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
6.6b
(/ y (* x z))

rewrite14.0ms

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:
9.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series150.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(* (cosh x) (/ y (* x z)))
22.0ms
(/ y (* x z))

simplify1.3s

Counts
60 → 60
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
0107601
1265582
2992488
done5000488

prune144.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
6.6b
(* (/ 1 x) (/ y z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
4×rec-exp cosh-def 1-exp pow-prod-down associate-*l/
2×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
Counts
2 → 95
Calls
2 calls:
17.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
14.0ms
(* (/ 1 x) (/ y z))

series148.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
22.0ms
(* (/ 1 x) (/ y z))

simplify1.0s

Counts
101 → 101
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
01841246
15271027
21597811
done5000811

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (+ (exp x) (exp (- x))) (/ y z))
6.4b
(/ (* (+ (exp x) (exp (- x))) (/ y z)) (* 2 x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
12×add-cube-cbrt
11×times-frac
9×cbrt-undiv div-exp prod-exp cbrt-unprod
5×pow1 flip3-+ flip-+ associate-/l/ add-log-exp
4×frac-times associate-*l* associate-*l/
3×expm1-log1p-u fma-def log1p-expm1-u
2×associate-*r/ div-inv distribute-lft-out unswap-sqr
1×+-commutative frac-2neg pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l*
Counts
3 → 88
Calls
3 calls:
6.0ms
(+ (exp x) (exp (- x)))
25.0ms
(* (+ (exp x) (exp (- x))) (/ y z))
11.0ms
(/ (* (+ (exp x) (exp (- x))) (/ y z)) (* 2 x))

series203.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (exp x) (exp (- x)))
72.0ms
(* (+ (exp x) (exp (- x))) (/ y z))
102.0ms
(/ (* (+ (exp x) (exp (- x))) (/ y z)) (* 2 x))

simplify1.2s

Counts
97 → 97
Iterations

Useful iterations: 2 (348.0ms)

IterNodesCost
01811525
15351441
223691162
done50001162

prune260.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

90.7% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 6.7b

bsearch88.0ms

Steps
ItersRangePoint
10
57105.47172318877
1.529046626893063e+16
7876022.030429827
4
-26.66524161900802
-17.02121550851014
-19.733597852087673

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02842
13442
done3442

end0.0ms

sample1.0s

Algorithm
intervals
Results
587.0ms22587×body80valid