Details

Time bar (total: 4.8s)

sample46.0ms

Algorithm
intervals
Results
22.0ms689×body80valid

simplify48.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite49.0ms

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
1.0ms
(cosh x)
29.0ms
(* (cosh x) (/ y x))
15.0ms
(/ (* (cosh x) (/ y x)) z)

series257.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(cosh x)
84.0ms
(* (cosh x) (/ y x))
124.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Counts
77 → 77

prune182.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) (/ y x))
7.3b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
26×associate-*r*
23×add-sqr-sqrt
22×prod-exp
19×times-frac
18×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
10×pow1
7×cosh-def
6×cbrt-undiv frac-times associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp add-log-exp
2×*-commutative div-inv unswap-sqr
1×un-div-inv
Counts
3 → 92
Calls
3 calls:
1.0ms
(cosh x)
16.0ms
(* (cosh x) (/ y x))
44.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series267.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(cosh x)
84.0ms
(* (cosh x) (/ y x))
130.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify61.0ms

Counts
101 → 101

prune201.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(/ (* (cosh x) y) z)
0.2b
(* (cosh x) y)
4.6b
(/ (/ (* (cosh x) y) z) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×pow1 associate-/r* div-inv
4×add-log-exp
3×cosh-def associate-*r* associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
1.0ms
(cosh x)
12.0ms
(/ (* (cosh x) y) z)
9.0ms
(* (cosh x) y)
24.0ms
(/ (/ (* (cosh x) y) z) x)

series346.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cosh x)
94.0ms
(/ (* (cosh x) y) z)
77.0ms
(* (cosh x) y)
124.0ms
(/ (/ (* (cosh x) y) z) x)

simplify50.0ms

Counts
109 → 109

prune256.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 z))
4.6b
(/ (* (* (cosh x) y) (/ 1 z)) x)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
36×add-cbrt-cube
25×prod-exp
17×add-sqr-sqrt div-exp
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
11×pow1
9×cbrt-undiv
7×associate-*l/
6×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/ add-log-exp
3×associate-/r*
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
4 → 102
Calls
4 calls:
1.0ms
(cosh x)
9.0ms
(* (cosh x) y)
28.0ms
(* (* (cosh x) y) (/ 1 z))
34.0ms
(/ (* (* (cosh x) y) (/ 1 z)) x)

series353.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cosh x)
77.0ms
(* (cosh x) y)
94.0ms
(* (* (cosh x) y) (/ 1 z))
129.0ms
(/ (* (* (cosh x) y) (/ 1 z)) x)

simplify67.0ms

Counts
114 → 114

prune202.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes131.0ms

Accuracy

93.5% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.7b

bsearch56.0ms

Steps
ItersRangePoint
6
2.4348116514958283e-52
2.5873162238607735e-51
2.1151913677558416e-51
4
-7.181156480914964e-35
-3.963019922524834e-35
-5.019000060722229e-35

simplify1.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s22409×body80valid