Details

Time bar (total: 13.9s)

sample83.0ms

Algorithm
intervals
Results
38.0ms743×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
61941
5509
4226
3102
241
118
07

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
9.2b
(/ (* (cosh x) (/ y x)) z)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
13×*-un-lft-identity times-frac associate-*r* add-cube-cbrt
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-/r* associate-*l* log1p-expm1-u add-log-exp associate-/l/
2×frac-times associate-*l/ associate-*r/ div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
3 → 74
Calls
3 calls:
1.0ms
(cosh x)
15.0ms
(* (cosh x) (/ y x))
19.0ms
(/ (* (cosh x) (/ y x)) z)

series330.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(cosh x)
119.0ms
(* (cosh x) (/ y x))
151.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.2s

Counts
83 → 83
Iterations
IterNodes
done5001
21873
1388
0156

prune499.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.5b
(/ (cosh x) (* (/ z y) x))
5.0b
(* (/ z y) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
13×*-un-lft-identity times-frac associate-*l* add-cube-cbrt
5×pow1 cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*r* log1p-expm1-u associate-/l* add-log-exp
2×cosh-def associate-*l/ div-inv unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative associate-/l/
Counts
3 → 71
Calls
3 calls:
1.0ms
(cosh x)
10.0ms
(/ (cosh x) (* (/ z y) x))
15.0ms
(* (/ z y) x)

series349.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(cosh x)
238.0ms
(/ (cosh x) (* (/ z y) x))
30.0ms
(* (/ z y) x)

simplify1.2s

Counts
80 → 80
Iterations
IterNodes
done5000
21805
1354
0145

prune450.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ (/ y z) x))
5.0b
(/ (/ y z) x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
43×associate-*r*
17×add-cbrt-cube add-exp-log
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
5×pow1
3×expm1-log1p-u cosh-def associate-/r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
3 → 151
Calls
3 calls:
2.0ms
(cosh x)
42.0ms
(* (cosh x) (/ (/ y z) x))
9.0ms
(/ (/ y z) x)

series242.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(cosh x)
172.0ms
(* (cosh x) (/ (/ y z) x))
21.0ms
(/ (/ y z) x)

simplify530.0ms

Counts
160 → 160
Iterations
IterNodes
done5000
1714
0261

prune991.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ y z) (/ 1 x)))
5.1b
(* (/ y z) (/ 1 x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×add-sqr-sqrt
33×add-cbrt-cube
25×times-frac prod-exp
20×*-un-lft-identity
18×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
8×cbrt-undiv
7×frac-times associate-*r/
6×cosh-def unswap-sqr
4×rec-exp 1-exp pow-prod-down associate-*l/
3×expm1-log1p-u un-div-inv log1p-expm1-u add-log-exp
2×*-commutative div-inv
Counts
3 → 108
Calls
3 calls:
1.0ms
(cosh x)
29.0ms
(* (cosh x) (* (/ y z) (/ 1 x)))
40.0ms
(* (/ y z) (/ 1 x))

series247.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(cosh x)
157.0ms
(* (cosh x) (* (/ y z) (/ 1 x)))
29.0ms
(* (/ y z) (/ 1 x))

simplify1.8s

Counts
117 → 117
Iterations
IterNodes
done5001
23196
1595
0201

prune495.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes340.0ms

Accuracy

94% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.9b

bsearch121.0ms

Steps
ItersRangePoint
5
1.8014546121876606e-25
3.9116099538942948e-25
3.874474762317708e-25
9
-5.490853644675725e+42
-1.7455623644221975e+36
-7.333611518295002e+39

simplify3.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.8s22453×body80valid