Details

Time bar (total: 18.7s)

sample87.0ms

Algorithm
intervals
Results
41.0ms643×body80valid

simplify7.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42208
53688
65748
711868
834108
done50008

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:
33.0ms
(* (cosh x) (/ y x))
23.0ms
(/ (* (cosh x) (/ y x)) z)

series274.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(* (cosh x) (/ y x))
160.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts
66 → 66
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
0137707
1331670
21289570
done5000570

prune243.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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)
15.0ms
(/ (* (cosh x) y) (* z x))

series258.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* (cosh x) y)
164.0ms
(/ (* (cosh x) y) (* z x))

simplify800.0ms

Counts
47 → 47
Iterations

Useful iterations: 2 (213.0ms)

IterNodesCost
0102484
1263467
21211371
done5000371

prune169.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×associate-/l*
5×cbrt-undiv div-exp div-inv
4×pow1
3×associate-*r* associate-*l* associate-/r*
2×prod-exp cbrt-unprod add-log-exp
1×cosh-def frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/ unswap-sqr
Counts
2 → 67
Calls
2 calls:
13.0ms
(* (cosh x) y)
15.0ms
(/ (/ (* (cosh x) y) z) x)

series280.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(* (cosh x) y)
173.0ms
(/ (/ (* (cosh x) y) z) x)

simplify1.4s

Counts
73 → 73
Iterations

Useful iterations: 2 (264.0ms)

IterNodesCost
0161869
1379832
21324750
done5000750

prune207.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*r*
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-*l* associate-*l/
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 → 79
Calls
3 calls:
24.0ms
(+ (exp x) (exp (- x)))
94.0ms
(* (+ (exp x) (exp (- x))) (/ y x))
35.0ms
(/ (* (+ (exp x) (exp (- x))) (/ y x)) (* z 2))

series266.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ (exp x) (exp (- x)))
86.0ms
(* (+ (exp x) (exp (- x))) (/ y x))
138.0ms
(/ (* (+ (exp x) (exp (- x))) (/ y x)) (* z 2))

simplify2.0s

Counts
88 → 88
Iterations

Useful iterations: 2 (617.0ms)

IterNodesCost
01731455
14911376
221811095
done50001095

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes172.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch201.0ms

Steps
ItersRangePoint
8
5.173793797581526e+32
8.35375346948554e+35
3.32510139019138e+33
9
-6.821641840668938e+36
-4.47703027794317e+27
-1.8415043436206183e+32

simplify5.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02238
12931
done2931

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s22250×body80valid