Details

Time bar (total: 23.0s)

sample51.0ms

Algorithm
intervals
Results
25.0ms729×body80valid

simplify7.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42248
53778
65928
712288
834768
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
23.0ms
(* (cosh x) (/ y x))
20.0ms
(/ (* (cosh x) (/ y x)) z)

series274.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(* (cosh x) (/ y x))
150.0ms
(/ (* (cosh x) (/ y x)) z)

simplify2.0s

Counts
70 → 70
Iterations

Useful iterations: 2 (237.0ms)

IterNodesCost
0141739
1338701
21303600
done5000600

prune241.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:
32.0ms
(/ (cosh x) (/ x (/ y z)))
16.0ms
(/ x (/ y z))

series179.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(/ (cosh x) (/ x (/ y z)))
40.0ms
(/ x (/ y z))

simplify2.3s

Counts
277 → 277
Iterations

Useful iterations: 2 (964.0ms)

IterNodesCost
04914840
110724447
243954295
done50014295

prune880.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:
30.0ms
(* (cosh x) (/ (/ y z) x))
11.0ms
(/ (/ y z) x)

series175.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(* (cosh x) (/ (/ y z) x))
23.0ms
(/ (/ y z) x)

simplify1.6s

Counts
147 → 147
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
02471781
15891662
220811554
done50001554

prune535.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (cosh x) (/ x y))
6.8b
(/ (/ (cosh x) (/ x y)) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
16×add-exp-log associate-/r* add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×cosh-def
Counts
2 → 271
Calls
2 calls:
12.0ms
(/ (cosh x) (/ x y))
28.0ms
(/ (/ (cosh x) (/ x y)) z)

series227.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ (cosh x) (/ x y))
134.0ms
(/ (/ (cosh x) (/ x y)) z)

simplify2.1s

Counts
277 → 277
Iterations

Useful iterations: 2 (908.0ms)

IterNodesCost
04954873
111454545
238174400
done50024400

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

70.9% (2.0b remaining)

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

bsearch64.0ms

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

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01836
12725
done2725

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.8s22401×body80valid