Details

Time bar (total: 12.1s)

sample41.0ms

Algorithm
intervals
Results
22.0ms764×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42158
53678
66118
714418
835688
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize11.0ms

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×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:
8.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series183.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (cosh x) (/ y x))
109.0ms
(/ (* (cosh x) (/ y x)) z)

simplify757.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
0137707
1345670
21307570
done5001570

prune143.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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×cosh-def 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 → 50
Calls
2 calls:
12.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series134.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(* (cosh x) (/ y (* x z)))
20.0ms
(/ y (* x z))

simplify1.4s

Counts
56 → 56
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
0103571
1258553
2982459
done5000459

prune115.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

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×*-commutative div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
18.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
16.0ms
(* (/ 1 x) (/ y z))

series138.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
24.0ms
(* (/ 1 x) (/ y z))

simplify1.0s

Counts
97 → 97
Iterations

Useful iterations: 2 (244.0ms)

IterNodesCost
01801208
1520998
21603782
done5001782

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*l*
11×add-cube-cbrt times-frac
9×cbrt-undiv div-exp prod-exp cbrt-unprod
5×pow1 flip3-+ flip-+ associate-/l/ add-log-exp
4×frac-times associate-*r/ associate-*r*
2×associate-*l/ div-inv distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l*
Counts
3 → 81
Calls
3 calls:
5.0ms
(+ (exp x) (exp (- x)))
27.0ms
(* (/ y z) (+ (exp x) (exp (- x))))
13.0ms
(/ (* (/ y z) (+ (exp x) (exp (- x)))) (* 2 x))

series236.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (exp x) (exp (- x)))
79.0ms
(* (/ y z) (+ (exp x) (exp (- x))))
133.0ms
(/ (* (/ y z) (+ (exp x) (exp (- x)))) (* 2 x))

simplify1.2s

Counts
90 → 90
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01771467
16021390
224151120
done50011114

prune234.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes186.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.7b

bsearch82.0ms

Steps
ItersRangePoint
10
57105.47172318877
1.529046626893063e+16
7876022.030429827
4
-26.66524161900802
-17.02121550851014
-23.952859275430495

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02943
13743
done3743

end0.0ms

sample1.0s

Algorithm
intervals
Results
598.0ms22587×body80valid