Details

Time bar (total: 25.8s)

sample61.0ms

Algorithm
intervals
Results
36.0ms729×body80valid

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42248
53778
65928
712288
834768
done50008

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
27.0ms
(/ (* (cosh x) (/ y x)) z)

series265.0ms

Counts
2 → 6
Calls
2 calls:
112.0ms
(* (cosh x) (/ y x))
153.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.5s

Counts
70 → 70
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
0141739
1338701
21303600
done5000600

prune218.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (cosh x) (/ x (/ y z)))
5.2b
(/ x (/ y z))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×cosh-def associate-/l/
Counts
2 → 271
Calls
2 calls:
25.0ms
(/ (cosh x) (/ x (/ y z)))
13.0ms
(/ x (/ y z))

series194.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(/ (cosh x) (/ x (/ y z)))
39.0ms
(/ x (/ y z))

simplify2.2s

Counts
277 → 277
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
04914840
110724447
243954295
done50014295

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (/ y z) x))
5.6b
(/ (/ y z) x)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u cosh-def log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 141
Calls
2 calls:
54.0ms
(* (cosh x) (/ (/ y z) x))
21.0ms
(/ (/ y z) x)

series215.0ms

Counts
2 → 6
Calls
2 calls:
186.0ms
(* (cosh x) (/ (/ y z) x))
28.0ms
(/ (/ y z) x)

simplify1.7s

Counts
147 → 147
Iterations

Useful iterations: 2 (440.0ms)

IterNodesCost
02471781
15891662
220811554
done50001554

prune475.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ x (/ y z)) (cosh x))
0.7b
(/ 1 (/ (/ x (/ y z)) (cosh x)))
5.2b
(/ x (/ y z))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
2202×times-frac
968×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
153×associate-/r*
75×div-inv
51×add-exp-log
50×associate-/l*
35×div-exp
31×add-cbrt-cube
23×associate-/r/
19×cbrt-undiv
5×cosh-def
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 853
Calls
3 calls:
23.0ms
(/ (/ x (/ y z)) (cosh x))
64.0ms
(/ 1 (/ (/ x (/ y z)) (cosh x)))
16.0ms
(/ x (/ y z))

series435.0ms

Counts
3 → 9
Calls
3 calls:
226.0ms
(/ (/ x (/ y z)) (cosh x))
173.0ms
(/ 1 (/ (/ x (/ y z)) (cosh x)))
36.0ms
(/ x (/ y z))

simplify3.5s

Counts
862 → 862
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0130919520
1309517076
done500015277

prune2.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes220.0ms

Accuracy

70.9% (2.0b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 7.0b

bsearch80.0ms

Steps
ItersRangePoint
9
1.0419967627919886e-61
2.8404331989065828e-55
1.3422271353685726e-58
0
-1.730558791468531e+202
-1.712651137582694e+202
-1.7216049645256126e+202

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01632
12225
done2225

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.6s22401×body80valid