Details

Time bar (total: 48.6s)

sample104.0ms

Algorithm
intervals
Results
46.0ms740×body80valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
done5000
72746
6752
5308
4183
384
239
118
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite175.0ms

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:
3.0ms
(cosh x)
139.0ms
(* (cosh x) (/ y x))
27.0ms
(/ (* (cosh x) (/ y x)) z)

series462.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(cosh x)
144.0ms
(* (cosh x) (/ y x))
232.0ms
(/ (* (cosh x) (/ y x)) z)

simplify5.8s

Counts
77 → 77
Iterations
IterNodes
done5002
21405
1377
0150

prune685.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
6.8b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite462.0ms

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:
5.0ms
(cosh x)
31.0ms
(* (cosh x) (/ y x))
394.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series865.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(cosh x)
135.0ms
(* (cosh x) (/ y x))
632.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify7.4s

Counts
101 → 101
Iterations
IterNodes
done5004
21992
1532
0193

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (cosh x) (/ y z))
6.3b
(/ (* (cosh x) (/ y z)) x)

rewrite76.0ms

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:
3.0ms
(cosh x)
33.0ms
(* (cosh x) (/ y z))
35.0ms
(/ (* (cosh x) (/ y z)) x)

series489.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(cosh x)
165.0ms
(* (cosh x) (/ y z))
238.0ms
(/ (* (cosh x) (/ y z)) x)

simplify3.5s

Counts
77 → 77
Iterations
IterNodes
done5007
21376
1383
0151

prune695.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.8b
(/ (cosh x) (/ x (/ y z)))
6.0b
(/ x (/ y z))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
17×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
3×pow1 add-log-exp
2×cosh-def frac-2neg clear-num
1×associate-/l/
Counts
3 → 275
Calls
3 calls:
8.0ms
(cosh x)
29.0ms
(/ (cosh x) (/ x (/ y z)))
19.0ms
(/ x (/ y z))

series506.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(cosh x)
372.0ms
(/ (cosh x) (/ x (/ y z)))
43.0ms
(/ x (/ y z))

simplify3.2s

Counts
284 → 284
Iterations
IterNodes
done5000
11380
0500

prune4.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.4s

Accuracy

94.7% (0.4b remaining)

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

bsearch725.0ms

Steps
ItersRangePoint
5
3.2073530927625338e-40
8.486834713129936e-40
7.189025362679729e-40
9
-2.5049350295387674e-13
-1.3351814648711252e-22
-1.986686670783298e-19

simplify14.0ms

Iterations
IterNodes
done27
127
018

end0.0ms

sample10.8s

Algorithm
intervals
Results
9.6s22619×body80valid