Details

Time bar (total: 12.2s)

sample38.0ms

Algorithm
intervals
Results
20.0ms730×body80valid

simplify4.8s

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 3 expressions with local error:

0.0b
(cosh x)
0.3b
(* (cosh x) (/ y x))
6.4b
(/ (* (cosh x) (/ y x)) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
1.0ms
(cosh x)
8.0ms
(* (cosh x) (/ y x))
10.0ms
(/ (* (cosh x) (/ y x)) z)

series242.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(cosh x)
78.0ms
(* (cosh x) (/ y x))
114.0ms
(/ (* (cosh x) (/ y x)) z)

simplify816.0ms

Counts
83 → 83
Iterations

Useful iterations: done (813.0ms)

IterNodesCost
0156811
1380770
21406665
done5000653

prune199.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.3b
(* (cosh x) (/ y (* x z)))
4.7b
(/ y (* x z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×expm1-log1p-u cosh-def associate-*l* log1p-expm1-u associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 64
Calls
3 calls:
1.0ms
(cosh x)
9.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series185.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(cosh x)
120.0ms
(* (cosh x) (/ y (* x z)))
21.0ms
(/ y (* x z))

simplify1.2s

Counts
73 → 73
Iterations

Useful iterations: 2 (315.0ms)

IterNodesCost
0122673
1293651
21066553
done5001553

prune173.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.3b
(* (* 1/2 (+ (exp x) (exp (- x)))) (/ y (* x z)))
4.7b
(/ y (* x z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
10×*-un-lft-identity
8×pow1 add-sqr-sqrt add-cube-cbrt
7×associate-*r*
6×cbrt-undiv times-frac div-exp
5×associate-*r/ add-log-exp
3×expm1-log1p-u fma-def flip3-+ pow-prod-down flip-+ log1p-expm1-u associate-/l*
2×frac-times associate-*l/ div-inv
1×+-commutative frac-2neg associate-*l* clear-num associate-/r* sum-log *-commutative distribute-lft-out
Counts
3 → 77
Calls
3 calls:
6.0ms
(+ (exp x) (exp (- x)))
31.0ms
(* (* 1/2 (+ (exp x) (exp (- x)))) (/ y (* x z)))
3.0ms
(/ y (* x z))

series139.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (exp x) (exp (- x)))
93.0ms
(* (* 1/2 (+ (exp x) (exp (- x)))) (/ y (* x z)))
24.0ms
(/ y (* x z))

simplify1.1s

Counts
86 → 86
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01501215
14401148
21963921
done5001915

prune232.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (cosh x))
0.2b
(sqrt (cosh x))
0.3b
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ y (* x z))))
4.7b
(/ y (* x z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
11×pow1
10×add-cube-cbrt cosh-def *-un-lft-identity sqrt-div
9×prod-exp sqrt-prod cbrt-unprod
6×associate-*l*
5×frac-times associate-*r/
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×times-frac pow-prod-down associate-*l/ associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
1.0ms
(sqrt (cosh x))
1.0ms
(sqrt (cosh x))
23.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ y (* x z))))
3.0ms
(/ y (* x z))

series268.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(sqrt (cosh x))
66.0ms
(sqrt (cosh x))
117.0ms
(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ y (* x z))))
21.0ms
(/ y (* x z))

simplify951.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
01491121
1366916
21192766
done5000766

prune251.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.2b

regimes199.0ms

Accuracy

94.7% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.1b

bsearch81.0ms

Steps
ItersRangePoint
5
5.809660952736369e-50
2.2603201977916295e-49
2.2078577814538937e-49
8
-3.012425531390726e-19
-1.030609343554047e-23
-1.5326289541625716e-20

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02543
13243
done3243

end0.0ms

sample1.1s

Algorithm
intervals
Results
612.0ms22594×body80valid